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</div><h2>SL Paper 1</h2><div class="specification">
<p class="p1">In a particular week, the number of eggs laid by each hen on a farm was counted. The results are summarized in the following table.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-03_om_06.38.36.png" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State whether these data are discrete or continuous.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Write down</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>the number of hens on the farm;</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>the modal number of eggs laid.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>the mean number of eggs laid;</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>the standard deviation.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The resting pulse rates of a group of 10 students who exercise regularly are given below.</span></p>
<p style="text-align: center;"><span style="font-size: medium; font-family: times new roman,times;">65, 62, 75, 63, 69, 58, 65, 67, 55, 60</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the median resting pulse rate of the students.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the mean resting pulse rate of the students.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>A new student joins the class and the mean resting pulse rate of the group of 11 students becomes 65.</span></p>
<p><span>Find the resting pulse rate of the student who joined the group.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The time, in minutes, that students in a school spend on their homework per day is presented in the following box-and-whisker diagram.</p>
<p style="text-align: center;"><br><img src="images/Schermafbeelding_2015-12-02_om_19.55.30.png" alt></p>
<p style="text-align: center;">Time, in minutes, students spend on their homework per day</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find</p>
<p>(i) the longest amount of time spent on homework per day;</p>
<p>(ii) the interquartile range.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the statistical term corresponding to the value of 140 minutes.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Find the percentage of students who spend</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>between 100 and 140 minutes per day on their homework;</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>more than 100 minutes per day on their homework.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;"> The grades obtained by a group of 13 students are listed below. \[5{\text{ }}3{\text{ }}6{\text{ }}5{\text{ }}7{\text{ }}3{\text{ }}2{\text{ }}6{\text{ }}4{\text{ }}6{\text{ }}6{\text{ }}6{\text{ }}4\]</span></p>
<p align="CENTER"> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the modal grade.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the mean grade.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the standard deviation.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the interquartile range.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The mean of the ten numbers listed below is 6.8.</span></p>
<p style="text-align: center;"><span style="font-family: times new roman,times; font-size: medium;">8, 5, 5, 10, 8, 4, 9, 7, <em>p</em>, <em>q</em></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down an equation in terms of <em>p</em> and <em>q</em>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The mode of these ten numbers is five and <em>p</em> is less than <em>q</em>.</span></p>
<p><span>Write down the value of</span><span> <em>p</em></span><span>.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The mode of these ten numbers is five and <em>p</em> is less than <em>q</em>.</span></p>
<p><span>Write down the value of <em>q</em>.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the median of the ten numbers.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">The distribution of rainfall in a town over 80 days is displayed on the following box-and-whisker diagram.</span></p>
<p style="font: normal normal normal 21px/normal 'Times New Roman'; text-align: center; margin: 0px;"><br><img src="images/Schermafbeelding_2014-09-02_om_14.29.11.png" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the median rainfall.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the minimum rainfall.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the interquartile range.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the number of days the rainfall will be</span></p>
<p><span>(i) between 43 mm and 48 mm;</span></p>
<p><span>(ii) between 20 mm and 59 mm.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">Eight houses in a street are inhabited by different numbers of people, as shown in the table below.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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" alt></span></p>
</div>
<div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The following statements refer to the number of inhabitants per house. Write down true (T) or false (F) for each.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The mean is \(5\).<br></span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a, i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The range is \(4\).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a, ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The mode is \(6\).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a, iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The standard deviation is \(1.4\) correct to \(2\) significant figures.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a, iv.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the interquartile range for the number of inhabitants per house.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">The cumulative frequency graph represents the speed, <em>s</em>, in \({\text{km }}{{\text{h}}^{ - 1}}\), of 80 cars passing a speed camera.</span></p>
<div style="text-align: center;"><br><img src="images/Schermafbeelding_2014-09-20_om_07.57.59.png" alt></div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the number of cars passing the camera with speed of less than or equal </span><span>to 50 \({\text{km}}\,{{\text{h}}^{ - 1}}\).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Complete the following grouped frequency table for \(s\), the speed of the cars passing the camera.</span></p>
<p><br><span><img src="images/Schermafbeelding_2014-09-20_om_08.02.56.png" alt></span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the mid-interval value of the \(50 < s \leqslant 70\) interval.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your graphic display calculator to find an estimate of</span></p>
<p><span>(i) the mean speed of the cars passing the camera;</span></p>
<p><span>(ii) the standard deviation of the speed of the cars passing the camera.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The following <strong>six</strong> integers are arranged from smallest to largest</span></p>
<p style="margin-left: 30px;"><span style="font-size: medium; font-family: times new roman,times;">1 , <em>x</em> , 3 , <em>y</em> , 14 , <em>z</em></span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The mode is 1 , the median is 5 and the mean is 7.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find <em>x</em> ;</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find <em>y</em> ;</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find <em>z .</em><br></span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>For a study, a researcher collected 200 leaves from oak trees. After measuring the lengths of the leaves, in cm, she produced the following cumulative frequency graph.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-15_om_17.29.13.png" alt="M17/5/MATSD/SP1/ENG/TZ2/06"></p>
</div>
<div class="specification">
<p>The researcher finds that 10% of the leaves have a length greater than \(k\) cm.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the median length of these leaves.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the number of leaves with a length less than or equal to 8 cm.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Use the graph to find the value of \(k\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Before measuring, the researcher estimated \(k\) to be approximately 9.5 cm. Find the percentage error in her estimate.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The following table shows the number of errors per page in a 100 page document.</span></p>
<p style="text-align: center;"><span style="font-size: medium; font-family: times new roman,times;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAApIAAABLCAIAAABMRPD/AAARvklEQVR4nO2dz2sbSdrH9z9pQZ9kEGSZi046hUXRQRiTw4AvGWQtCmQhh4UstFB4Qw4DAxIWgUAg0yIml0Ai4bAMDA6FYAhBpplZMEvTkAHzIppgBtM0L0aEot5Ddbe69eNp2eOoy/H3Q19iOVL3V0/Vt+qpp8p/EQAAAAC4Ivwl6xsAAAAAwKoEtq1rOVy4cOHChQuXstesbWczbABKgngggDgEEIcG+hBAHIK4OLBtsADEAwHEIYA4NNCHAOIQwLZBCogHAohDAHFooA8BxCGAbYMUEA8EEIcA4tBAHwKIQwDbBikgHgggDgHEoYE+BBCHALYNUkA8EEAcAohDA30IIA4BbBukgHgggDgEEIcG+hBAHALYNkgB8UAAcQggDg30IYA4BLBtkALigQDiEEAcGuhDAHEIYNsgBcQDAcQhgDg00IcA4hCoadsT1/p3z9jaNG2+3g/m7vturahrOb3cGjjeej9cURSIB3WBOAQQhwb6EEAcgpVsmzvmpjwHtdy1/LiTco+1CuERqQWDXYrRhR+3sW7b9ked2hPL58I/6tWKl/U4Vx1V2g93rRdGRcvp+Z3uyF3zeG4ZqogjuO8MB6/b9Rst5imijTLi+M679k5By+naRsV4abmTrG8oQBF91JyrKCLOFH48aJTWP5NcyOqzbc/ptypartDoj2dunB8P7hmD8WU2Bu6Ym+u27TPH3IZVz6NG+zm12t9WWgcuF9w9eFj+tmOdZn1LQqgijuCOefvOznf5nJ6HbSfhx293n71zPBH50+zcIzOU0Mf/z+DFB5cLwd3D3Z2CMvGjhDhTJuP+/cL6Z5JLOE+SnNu96oaubVTaIz/xwglr/XC5X3YWtn3CjBJsex4V2g93zM1ph8I91ipUTUeBBqSCOCFnjrkN256Bf3w/jM0ouGNuaqUmO8nwliIU0Ofs4/DDdBrmsWYe4szDfetJ/cGDev6K2va99pvnjYJWrJtHMeeGbX/NKNB+zhxzW4/7tMea+e2ec5blTQkhlBAnAra9AnCm5XDH3EQqYh65eDo+aF5Z295zPo9Zq6pr1YcsGqVFtn3mmNu6ltM12aWeMKOka1HiznPYq06t2mRjd/S0ns8FbzJds2z07MA0A9t+fnAoX9Kqzb4dGyh4zkG3ns/pWq5Q68oMmPAd9rpdv9F6Z//SrRULtT17Pv58h5nyDWP/MblCr2s5feFMbrpCVqy3f3Z8LhcU37R3vjF+skdP6/li3fyPO/sTOb7xHGY2yxu6ltPzO50Dx4/uZ/6efXtgVHWtWG/3D4cffsu6F86+/XC7V91IjKg8pkgTyl6cKbDtFfBY88b9y13RuzAq6eM5zGzWvmdY+J/l1Gr/s2OdqtPniIvYNheyYivmsvHZtrTAaCYUdSWfQ2ss1tt9y50IcWq1t/T8Tuf10PG54GPWqkZ+KW07rB+Ry+rFu/1jLoQQp9buo7AoybPNRiHfYt6ncIiw0x2NPatbmR828uNB41bgo9IaYwOFBd4Qxx91jWeHMqajgjWPNYOhw9ND95PV/rby4MHfZ37SHvliMu7f/yYYRgTPUjeP/OmwJn7P/+eYjfBJJ+P9V8Ose+Hs2898g1GmCWUvzhTYdircY482Z9f4MkMVfcJ+bG52lCVqiMN960ldBowyfY64oG0LWRa0oZcfM3eymm1zMbuwlPqbcY1OmFEKTH0aZNEl3/OEGaXl3Rb3WCtRcOGPOuWYT1O2PTcdj1IIHmvmc3MTwfmfxPNycrwi72Tunrndq5bCkY0SZN9+YNsrAdtOI9oqogZK6cPd0Z5R1aezo4xRQhx/1G3tB1llZfoccWHbFoL79l49L7eEffrytp2ctS8uR6JtO2b8C3+fsu0TZtxc/IWl2/bMY0Y/WTbUkCWLuWkeImuybz9Ikq8EbJvm1Np9PM2uKYBi+qRlHNeLAuKcWrs/TNdTlOlzxJ+wbSHExGWPK1qu0Hjyo7Fe29YWliOtYNuJV89l26XFC96r2nZ8tk3btghPm6nqWk7PZ78Op0D7md2bxx1zc3EMrBsFxImAbRNMxvvP9lTybKGWPhKFNsFmL86CtG4uVrmVJX/GtkVsatj68knym5XpGkNOLxt7Vnjmhn/ErD9WSpJrW7H9vsnS8fQkefysBu7/+ot1jiR5fNdcPF1P3bPcZpp5K8q+/WAD2ErAtpcxcdmz7rSE1rNfvMy8ZEQopE/ECTOqSJIv5qrOtv1Rp/porlOIr9QKETiuXCCJzRq17Z5ztrptB1YXL0kL1tHDT4wPf4LqM9q2w0q64CQg7tt79XhNaVpJWkfWgQfXRnwMkWLbsm4uKvfwj3q1W2HbWJADGPY/hCMJJc7lUaP94LiVVGDbCwnOiUr0GBjzSfjxoFEKu9mJyx5vLtyAkwXZizPDFbTtaGfXojNH+fHg3vexzkK6lDwq75Nj3qkYz99av9uJd/g19s9Sk/03qKme1pcJ7lqD2Q1X0SeGe8aifVzBUTA5XStVyjtLkxiJYw5NtngD2OLvJizZmN7P9MzXm7cqW6bDxfxPIk2iHWt62egxxxdiyT3/8Rv76V3/ebO8oWvV5ovsj/FUpf3IU5y0ZKIla1QRJ5HQU7FzyYgwHZi4oE9E2FfLYpq+Mu1KCXGSXEHbBtcXxAMBxCGAODTQhwDiEMC2QQqIBwKIQwBxaKAPAcQhgG2DFBAPBBCHAOLQQB8CiEMA2wYpIB4IIA4BxKGBPgQQhwC2DVJAPBBAHAKIQwN9CCAOAWwbpIB4IIA4BBCHBvoQQBwC2DZIAfFAAHEIIA4N9CGAOASwbZAC4oEA4hBAHBroQwBxCGDbIAXEAwHEIYA4NNCHAOIQwLZBCogHAohDAHFooA8BxCGAbYMUEA8EEIcA4tBAHwKIQ7DYtnHhwoULFy5cyl6ztr3msQNQGcQDAcQhgDg00IcA4hDoSJIDGsQDAcQhgDg00IcA4hDAtkEKiAcCiEMAcWigDwHEIYBtgxQQDwQQhwDi0EAfAohDANsGKSAeCCAOAcShgT4EEIcAtg1SQDwQQBwCiEMDfQggDgFsG6SAeCCAOAQQhwb6EEAcAtg2SAHxQABxCCAODfQhgDgEsG2QAuKBAOIQQBwa6EMAcQhg2yAFxAMBxCGAODTQhwDiEKhp2xPX+nfP2No0bb7eD+bu+26tqGs5vdwaON56P1xRFIgHdYE4BBCHBvoQQByClWybO+amPAe13LX8uJNyj7UK4RGpBYNditGFH7exbtv2R53aE8vnwj/q1YqX9ThXnczaj++8a+8UtJyubVSMl5Y7ib3mOQfdej6nazk9v9M5cPxsblFNcabwcf9ufrvnnK357iTZ9byx8Cgbe5ab7EYmrvWyWd7QtWJ997275plBjOz04b4zHLxu12+0mLe0Pw+vbOInU9v2HLb/pr3zzawFLNNt3aw+2/acfqui5QqN/njmhvnx4J4xGC/uOC4Gd8zNddv2mWNuw6rnyab98OO3u8/eOZ6IUiDTIeNk3L9fyDd6tnz14GH5ZpOdZHCTKoqT+LVBo5hVtysy63kn4/2nXTmS4+7h7k5B2+pYp+Gr3Le6lfJj5k4EH7PWVqU9um5jPu6Yt+/sfJfP6fkZ+zlhRmn2T1ZUTScLh8rOts8cs/Fd7dvC3ER0uW7r5jxJcm73qhu6tjEX6Ces9cPlPkYWtn3CjBJse55M2g//+H4YGwhyx9zUSoE3c7tX3Yh9U1mOt5QTZ8qp1b7/L+NO4brZNv99OPzfab8xEy3c7lVjgzyPNa9jNkLIVjNrP96w8z8HsfQD99ij22tfqZRknCSf7WQiFum2ds5p2/fab543Clqxbh7FnBu2/TWjxCKTx5r5yJlOmFGKzS9PmLF1vWbbMyTEkXDfelJvfxiz1rWz7VkS7Zo75mZCkBNm3Fx/DY1ENdvm7seP8ZwNt3vVO9c0eL4u295zPo9Zq6pr1YcsSpZHtn3mmNux5ZAw5RI8pOewV51atcnG7uhpPZ8L3oS71gujouX0MO0pItt+fnAoX9Kqzb4dGyhM164Kta7MFgrfYa/b9Rutd/Yv3VqxUNuz59OGvsNM+Yax/zi/ojObF4pK5D7Y/VZwPy9G4bA0Wioj7nOjYvSdxP0segQhhG8PjKquFevt/uHww2+ZBodEic7XY80b98OFGO5b3YqWK9T2bP/MZe1mdiuU6okjhIiqND57sG1xwozq3f4xF2JRn3vCjNL1ywOLVeyHO+bt+SXRdQHbJji/bXMhK7ZiLhufbfNkTxE95OfQGov1dt9yJ0KcWu0tPb/TeT10fC74mLWqUfuRth3W2shl9WLY9k6t3UfdwDQ922wU8i3mfQqHCDvd0dizupX51T5+PGjcCvIE0h1jA4Xl39O0RO5vtSdDdyLExGWPo/vhjrmZl52mZ5uN2LNzj7UKchUteCkq3Fv4CHLc0wgfczLefzWEbQshk3WbiaWZSTjyW3vdYhIlxTm12v/sWKdzjXHdKCCOEB5rVuOJmRmThm0ve/Izx/xHVkkskXnwfIW2HdQBbeiBJ61i21zMLsKl/ma8R461Lo818zO1jvI9T5hRWi4o91irEH/VH3XKM4tei21bCPmhi++HO+Zm4rajJ0pm3T3WzIelMcsegdu9aikc1qhC9p1vVOE/hfvOfqf9Q7O8kUz8rBv1xOG+9exhMPKDbUcjGAlsOyLNfrjd23qUoTnBtgkuaNtCcN/eq+fllrBPX962k7P2xc2Mtu0lLTb6/fPZ9uyXx13r7et2PR/fLzFv2/Id+PJHmIz79wtyU5NMQihA1p3vqbX7eJoUEULG3t17/TEXQZImUSq8VpQTxx91W/vhKOaa2zb3rWfNRBUOkuQRKfbDHfN2poU+sG2CC9u2CHPFuULjyY/Gem17cU+0gm3Pt9g/b9vcPdzd+abWfrNvje1EwQsf9+/ekHl4qZV8ie5M5Tp6Vddyev7+5W6ruxiZtp/JeP/Znp38Trjdq/419l2cWu2ta9nzzouzcN9tZtt4su15+fin7oujmc1d8dyYEPOxtFYUtu2MM+Qi6+D5im1bxGaHrS+fJL8ZbDyTGeb4KQr+EbP+WClJnpiWJWfD50+SFwzmydtOLMnH/dizX7QfPqjOHvuw9BFit+u+76px5Et27WfismfdaQLcs1+8HHp87rsgshdfHOXESXB9Z9vcZd1dFrYu7tuve8No9yA2gIkU+8k6Qy5g2yTnsW1/1KnOf5eysiyWLnbMzaBcKzZx1LZ7ztnqti275kRJWrCOHn5ifCYRVJ/Rth1W0gWnlnLf3qvH62/TbTtXqD09lCVpo6fh/41tRgpK4kvNA2s4/J0L7ltP7i4eyC99hGH/QziMOB40StnWW0kyaj/B8T6Lpowy5MJyQv+oV7sV1vGtG/XEiXM9bZv7Tj/c2TF/1BeOW5FQ9pN5hlzAtklWtO1oZ9ei2l1+PLj3fewxwqrpcmvgfHLMOxXj+VvrdzvxDr/G/llqsv/GTucJfJ271iA4vrFYb/+cWOiN9oxFu6eCo2ByulaqlHeW9lOJIyFNtngD2KLiZDnDa7/8sVac2bIVVOfJmxwfNPPRXq/5I4di28DmH0EIIf74jf30rv9cVlrF9phlSRbtJ8ziJNWbfi8x9a7f4aZp4ky5jrbNx/27s/WeM2OaaBtCxk0sM2dKlMTOR86ZYxpZFYtEZGfbM3YQaz4puq2P88y2rzOzidlVCKv20rtXpUE8EEAcAohDA30IIA4BbHs1LmLbnt1/NUxu5eLjn/eGWRZ6XADEAwHEIYA4NNCHAOIQwLZX49y2Lc9aSf71Id9h+7N/jUh9EA8EEIcA4tBAHwKIQwDbTuWif5yUu9b+82lpTNnoscyWYP8MiAcCiEMAcWigDwHEIYBtgxQQDwQQhwDi0EAfAohDANsGKSAeCCAOAcShgT4EEIcAtg1SQDwQQBwCiEMDfQggDgFsG6SAeCCAOAQQhwb6EEAcAtg2SAHxQABxCCAODfQhgDgEsG2QAuKBAOIQQBwa6EMAcQgW2zYuXLhw4cKFS9krYdsAAAAAUB/YNgAAAHBlgG0DAAAAV4b/B2ld8LLq3zSzAAAAAElFTkSuQmCC" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State whether the data is discrete, continuous or neither.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the mean number of errors per page.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the median number of errors per page.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the mode.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">A survey was conducted of the number of bedrooms in \(208\) randomly chosen houses. The results are shown in the following table.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State whether the data is discrete or continuous.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the mean number of bedrooms per house.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the standard deviation of the number of bedrooms per house.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find how many houses have a number of bedrooms greater than one standard deviation above the mean.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The weights, in kg, of 60 adolescent females were collected and are summarized in the box and whisker diagram shown below.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the median weight of the females.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the range.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Estimate the probability that the weight of a randomly chosen female is more than 50 kg.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use the box and whisker diagram to determine if the mean weight of the females is less than the median weight. Give a reason for your answer.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The daily rainfall for the town of St. Anna is collected over a 20-day period of time. The collected data are represented in the box and whisker plot below.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down</span></p>
<p><span>(i) the lowest daily rainfall;</span></p>
<p><span>(ii) the highest daily rainfall.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State what the value of 12 mm represents on the given diagram.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the interquartile range.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the percentage of the data which is less than the upper quartile.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">\(240\) cars were tested to see how far they travelled on \(10\) litres of fuel. The graph shows the cumulative frequency distribution of the results.</span></p>
<p style="font: normal normal normal 21px/normal 'Times New Roman'; text-align: center; margin: 0px;"><br><span style="font-family: 'times new roman', times; font-size: medium;"><img src="images/Schermafbeelding_2014-09-03_om_05.00.55.png" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the median distance travelled by the cars.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the interquartile range of the distance travelled by the cars.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the number of cars that travelled more than \(130\) km.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">\(80\) matches were played in a football tournament. The following table shows the number of goals scored in all matches.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the mean number of goals scored per match.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the median number of goals scored per match.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>A local newspaper claims that the mean number of goals scored per match is two. Calculate the percentage error in the local newspaper’s claim.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">Five pipes labelled, “6 metres in length”, were delivered to a building site. The contractor measured each pipe to check its length (in metres) and recorded the following;</span></p>
<p style="margin-left: 30px;"><span style="font-size: medium; font-family: times new roman,times;">5.96, 5.95, 6.02, 5.95, 5.99.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>(i) Find the mean of the contractor’s measurements.</span></p>
<p><span>(ii) Calculate the percentage error between the mean and the stated, <strong>approximate</strong> length of 6 metres.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate \(\sqrt {{{3.87}^5} - {{8.73}^{ - 0.5}}} \), giving your answer</span></p>
<p><span>(i) correct to the nearest integer,</span></p>
<p><span>(ii) in the form \(a \times 10^k\), where 1 ≤ <em>a</em> < 10, \(k \in {\mathbb{Z}}\) .</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Each month the number of days of rain in Cardiff is recorded.<br>The following data was collected over a period of 10 months.</p>
<p style="text-align: center;">11 13 8 11 8 7 8 14 <em>x </em> 15</p>
<p style="text-align: left;">For these data the <strong>median</strong> number of days of rain per month is 10.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of <em>x</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the standard deviation</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the interquartile range.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The lengths of trout in a fisherman’s catch were recorded over one month, and are represented in the following histogram.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-15_om_10.45.21.png" alt="M17/5/MATSD/SP1/ENG/TZ1/01"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the following table.</p>
<p><img src="images/Schermafbeelding_2017-08-15_om_12.36.53.png" alt="M17/5/MATSD/SP1/ENG/TZ1/01"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State whether <strong>length of trout </strong>is a continuous or discrete variable.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the modal class.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Any trout with length 40 cm or less is returned to the lake.</p>
<p>Calculate the percentage of the fisherman’s catch that is returned to the lake.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The weights in kg, of 80 adult males, were collected and are summarized in the box and whisker plot shown below.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the median weight of the males.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the interquartile range.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Estimate the number of males who weigh between \(61\) kg and \(66\) kg.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Estimate the mean weight of the lightest \(40\) males.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">The IB grades attained by a group of students are listed as follows.</p>
<p class="p1">\[{\text{6}}\;\;\;{\text{4}}\;\;\;{\text{5}}\;\;\;{\text{3}}\;\;\;{\text{7}}\;\;\;{\text{3}}\;\;\;{\text{5}}\;\;\;{\text{4}}\;\;\;{\text{2}}\;\;\;{\text{5}}\]</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Find the median grade.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the interquartile range.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Find the probability that a student chosen at random from the group scored at least a grade \(4\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The weights of 90 students in a school were recorded. The information is displayed in the following table.</span></p>
<p style="text-align: center;"><span style="font-size: medium; font-family: times new roman,times;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the mid interval value for the interval \(50 \leqslant w \leqslant 60\).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your graphic display calculator to find an estimate for </span><span>the mean weight</span><span>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your graphic display calculator to find an estimate for </span><span>the standard deviation.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the weight that is 3 standard deviations below the mean.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The table below shows the frequency distribution of the number of dental fillings for a group of \(25\) children.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the value of \(q\) .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your graphic display calculator to find</span><br><span>(i) the mean number of fillings;</span><br><span>(ii) the median number of fillings;</span><br><span>(iii) the standard deviation of the number of fillings.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A group of 20 students travelled to a gymnastics tournament together. Their ages, in years, are given in the following table.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-02-12_om_17.17.22.png" alt="N17/5/MATSD/SP1/ENG/TZ0/01"></p>
</div>
<div class="specification">
<p>The lower quartile of the ages is 16 and the upper quartile is 18.5.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For the students in this group find the mean age;</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For the students in this group write down the median age.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw a box-and-whisker diagram, for these students’ ages, on the following grid.</p>
<p><img src="images/Schermafbeelding_2018-02-12_om_18.53.31.png" alt="N17/5/MATSD/SP1/ENG/TZ0/01.b"></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A tetrahedral (four-sided) die has written on it the numbers 1, 2, 3 and 4. The die is rolled many times and the scores are noted. The table below shows the resulting frequency distribution.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-08-16_om_05.55.47.png" alt="M17/5/MATSD/SP1/ENG/TZ2/07"></p>
<p>The die was rolled a total of 100 times.</p>
</div>
<div class="specification">
<p>The mean score is 2.71.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down an equation, in terms of \(x\) and \(y\), for the total number of times the die was rolled.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the mean score, write down a second equation in terms of \(x\) and \(y\).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the value of \(x\) and of \(y\).</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">56 students were given a test out of 40 marks. The teacher used the following box and whisker plot to represent the marks of the students.</span></p>
<p style="text-align: center;"><span style="font-size: medium; font-family: times new roman,times;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down </span><span>the median mark</span><span>.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down</span><span> the 75<sup><span>th</span></sup> percentile mark</span><span>.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the range of marks.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Estimate the number of students who achieved a mark greater than 32.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">A class of 13 Mathematics students received the following grades in their final IB examination.</span></p>
<p style="font: normal normal normal 21px/normal 'Times New Roman'; text-align: center; margin: 0px;"><span style="font-family: 'times new roman', times; font-size: medium;">3 5 3 4 7 3 2 7 5 6 5 3 4</span></p>
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;"> </span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>For these grades, find </span><span>the mode;</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>For these grades, find the median;</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>For these grades, find </span><span>the upper quartile;</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>For these grades, find </span><span>the interquartile range.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State which of the following sets of data are discrete.</span></p>
<p><span>(i) Speeds of cars travelling along a road.</span></p>
<p><span>(ii) Numbers of members in families.</span></p>
<p><span>(iii) Maximum daily temperatures.</span></p>
<p><span>(iv) Heights of people in a class measured to the nearest cm.</span></p>
<p><span>(v) Daily intake of protein by members of a sporting team.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The boxplot below shows the statistics for a set of data.</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
<p><span>For this data set write down the value of</span></p>
<p><span>(i) the median</span></p>
<p><span>(ii) the upper quartile</span></p>
<p><span>(iii) the minimum value present</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down three different integers whose mean is 10.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p style="margin: 0.0px 0.0px 0.0px 0.0px; font: 21.0px 'Times New Roman';"><span style="font-family: 'times new roman', times; font-size: medium;">A survey was carried out on a road to determine the number of passengers in each car (excluding the driver). The table shows the results of the survey.</span></p>
<p style="font: normal normal normal 21px/normal 'Times New Roman'; text-align: center; margin: 0px;"><br><span style="font-family: 'times new roman', times; font-size: medium;"><img src="images/Schermafbeelding_2014-09-02_om_16.26.22.png" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State whether the data is discrete or continuous.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the mode.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your graphic display calculator to find</span></p>
<p><span>(i) the mean number of passengers per car;</span></p>
<p><span>(ii) the median number of passengers per car;</span></p>
<p><span>(iii) the standard deviation.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">Toronto’s annual snowfall, <em>x</em>, in cm, has been recorded for the past 176 years. The results are shown in the table.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAuQAAABKCAIAAAB8T9aFAAAbYUlEQVR4nO2d3WsbZ77H59/QlQy6srGgi2/MXhhdBOFVwBjTQKlB5PiFOPTkbChlzjFynd1S2AXBGIuAISAkbAKhYSKRULoYD0Mg5NSudLqHhmNp2C7JVi8UUbTDsBhRHp5z8Zt3zYzGjv1Itn8f5iaWPJ75zMzzfOd5C0cRBEEQBEFGGG7YB4AgCIIgCBKEHlZi0THccMMNN9xwww23UdscYWVoeenagJIB9ACgBwA9mKAKAD0A6AHAsMIalAygBwA9AOjBBFUA6AFADwCGFdagZAA9AOgBQA8mqAJADwB6ADCssAYlA+gBQA8AejBBFQB6ANADgGGFNSgZQA8AegDQgwmqANADgB4ADCusQckAegDQA4AeTFAFgB4A9ABgWGENSgbQA4AeAPRggioA9ACgBwDDCmtQMoAeAPQAoAcTVAGgBwA9ABhWWIOSAfQAoAcAPZigCgA9AOgBwLDCGpQMoAcAPQDowQRVAOgBQA/AZQkrvfbRzur4WCw6kcqUFI14fEVTZFFY/WBTVuFTVZG/2lqe25A7QTsm7erun7eCvxOKjixky4o68HsjLJkp6AFADwB6MEEVAHoA0AMQLqyQdnU3k4pCVijISlf9/vsfvQLDxUC06sNV4UijRKvtrY7PeOWPjpyZiUXHYuMQVogqb8ajY7Go55fNHTflzXsbpZp2LkfZfp1bXnwgN4PFhL7ziFb/SzY9yXEcxyX54mGLnfDTQ1qV8uNsepLjpngpVPIL6YG0KuWn2XSE4yLrkjo6CohWl8Wn2XSs/6h6rcoun4hw3GRaeDXwqnl40OqS+DibTvabJK3DIp/kOC6SfnjY6r3fKZw7AU5Meg3xk0gyX+/7/FQeBu5tyPgeuVrfF9IRjuM4LpLO7tc9Sx6nCrUulZ9m0zFecr4J2cuHyXT2L3XPV7jhotX3s3C6kQS/W7HfsQEfGTg8BH3fZjXBFysjWVKGOF+/ss55P4SqF0a12KSU9lqHD9MR8CC6b1rSqhT5BMdxkbTQd2Zhwkq3KizEl/dqGqGUkvbRXmYuNldQmBkgteLcjQENJJRSeqIUFo2wQimlRCnMB4WVblW4fbf07jzPQ3tTXPusWAtqXwlbSTe+FgQogODqRhLZw3ChqteqiNn0p2Lr11Bff29I65WQnoyks08l78LXkxAe4MQn09knUn1wk5X+K0zOndTzNz9Of+xRFhCtIiQSf5BaPUoa0vrNgVfN7YEc52/eSn/sFfu0w2zi5rrUILTXkv6QSAiVcPUTaVXE7J0l8R/hTu6M+DuxfachLkU4LkxYCfAQYm/e32fiwf/Iew3xk0hkKX+sUkpJa3898VvPU7OrqOeXPk7PRzgu4gwrpCEuRSbT+R80SilpSOvJiDvN+BwdGwmUUvK2LOzs1+FkXwnpSc68YwM+smF5CPp+r1F+KEDsI61DIR3hbmYr3VAHOAoqdILKOvv9EKJeGN1ik1Ki/U8Z8pVeazhu2m4lO59Y328ReDrmXddxcFjxqPLJu/Ifn7ALK6q84d2a4uJ0YYUohfkLiFwDdxsurJz8Tf7vhrWTk3r+VoiMDPfcVIJ/VGb2eqEdZhNTYZoQXAzyQLSKkPDK1z6wP3evi0KO80lbDaRKfORWvn4SsBfvh66eT7qrupN6/pbt2e5I/G+T+ePgMyWtiphNRxJ8npGUwBtVO8ymf8+nJ0OFFUqpt4dQe3Pvh7UHryMnx/lkxHYFXRfUwiO3OX6R9nsm9XxyUPnAWAL52yu5YbUf2IUEfGTH9BD0ffJ3Wf6HdTYerryObWRUwA+Cyzrb/TCwXhjtYtNxsYgqrUd872GiSuuuRtOQYWUiJRzZ4hth2g10IWGlI2duzBdq538Sg9qBztQB6b6ufah1Kc8nYgk+HzpNn+bP+76CdCvZm5ElsXF6jwM8aIfZxNSS+DbEji/23PWCbUlsuT/wqJhJPZ/k7OlkcKQIW0mT43wyZtuVx8Ns34FWl/J8kkvw+dM0d4XlNE4MupXs77OVusRPnUdYGbA3cwcX68H/ldTryDsSP2V7pe5I/M2BLSuUelbARJXWbU0IRJXW+/qJrC8PS4IDVeIjPrnT5yPfIiJgV7Qj8VP+YWUkVQwq6/yLyr564RIUmyYn9fzHtmahk3r+luNZ7nvTC9ENRN6V16aN0Sp9ZwXDWhcKilorZ+Zi0TGzwwj+oCIXNmYnYtGx2PjK1oGiUaqniuhYLDoWz8gqqRXnJmLRsVh0Yr5QI+Zwk/FNWf1ZH4mib/CFXrv6WN9ndM424uQ0YUWVN8YXi4rzlVdTJGElHh2LRadXt1+3CaWUaMrLZ8LKVEb+Z/t1bnk6Fp1IbR60iXkM06uFN86b/kQpLMYzst/1P3NYiXlngvD33D/EdIzjOC7yidjoGU2mXCxb8X+wiFaXn2bTkUg6K3oEb1LPJ7kkn9+FPtRIWtgPfd8Hejip529xCT4P3a6+XfLhz/3XlngHeveXxLfE7DcNPHmq1aWn2XRkMp0VvfqY+yvm/p90BtWmYSvp/rcxVVqPcP3NNuGLYzZOjKOqbKezh5q/kNOElcF7O1211BLTMIxkSWwQo6GeS2QrAb+n1qUn2fSkz5PheeREqwgJjouki8faSUvK8j7tkSHCClRLES6ylD9WSWv/c37HawzTkCU4vyvxsU/EhtdAK5+PgsKK365oR+KTXrX1yKoYXNYFhxVbvXApik3jO/n19Pq+Zar/JlclPhKxv+mFG2Cr6UEkFp1IZR5X2+YRGMNaZ+9t7X7bJhACJowWi16zdH9Kzy6qUtpMWVV7ry1/mbKCxYlSWLSNg+lWd782e1JcmYMohfnx++Vmj1K1VliLR83MET6sEFXejNu+SSml2tHW7AIMjyXN0l04C1XeGB+LRcfiy0K52iaUaNVcKjq9KnwlK6p+FlFX6HGdi5szhZWOxKc9OmLJcT4ZCT+mlRrd/BH+yb7wB+g79/tiiGdbfzb0EW3aD3mfvmdPgjyQ43wyZgxDI9px0aNr9vTnTslbcWmSi/Di/kMeOvv90OpSnk9wST4v+Y9bDBNNzius9EcTz7ByUs/f4vrGNwRx4U7gdw+z6e2KRgKEnCKsDN7b6T3AgBJuihfLAr97HHQPhyrrfWKWNbowoL0tVFgxRz9wfqN2hi/BfrCq9HnSe/yW70c+RUTArihVJT7ZXwSNsIoQZZ1/UemsFy5HsQkFF4yGXhdNY33R5KxhhVJHG4mjPaMjZ2asupnUinMTeruCu/umWxUWrDDh6C6B1hSj1ldf5natDhqvsKLvhCiF+bOEFfc34QCmzOYQ0v5ue20eer7sZ0RdaczzT3glIRunDyvme6Qnp31UOhI/ZSRlnz9Xl/J8MsSAWXeLK6nnk4GlsJ0gD+5mXihr+lsRzlBMrEeMFyZv4HmLpLNP5UHTK0YwrNDTN3RftBNKabci/Ml4j3z/sBJqb2dp8FclPmK0O/p8oy7l+cRUmKGLvm1C9XI2+yc+EeG45LrkrTxkWKHasZjNZvkkx0US9pdUx58bpgTboZr58hQfeRcRAbvSOwc9R9eOqooQZZ1faHPXC5ej2ASMKZOm3nMNK/oOlIPc6vhYLLqwVYV7wi+sOPMHnLO8Gbeqdlt3CXn3Yld8lrmREo40SlQ5v2drq/DMHKRdfSEKq+NjsfMJKx05M+Pdd3O2sOJubrE4dVjRDgdFe2rcf37dNXb8Kjn9j1WyibCvIP1laLjRbUCAhxCdIHbCn7vXI2Hj10o2xoWf7Dea3UD6p3rRHEbKxTohWmVn3UrG7xlWwu7N+n54D8F700WEfSX17gY6Li7dERuEwvwdzmfeSrhuoB/yS7zY6FGYGsYFzBYcmgSDbsW3HTfgI89bIuD7RKvsDHj1Hz0VYco6v9DmqhcuSbFp4RwofR7dQETZf+Gsd61eEkoHhRV7Re7+idlGQpSv96q/GA0SP8vbX9n7UNyBgLS/216ZWhaePa82a+fVstKRMzOx2Vy1PxMMt2WFvC0LTwYlFZMw/aZQyQW0f/RalRfhXkH6Hmb3INAgBrWsOI6wb+Cqx++E6jOGtyX/6o20KuXBLZmAzwBb+09CCDnNANvful+bBkyEGTDkSOdinUBLXj/uOzCch7B7O4sHfef+txlpVcqPQr6Shhgi3a1kb4adxe05G8j6XRgNE/yADEECpZTSXqO8U/SOFwEfUepxSwR9nzS+ForBScX67gipCFHWeTwanvXC5Sg27b9mL9Pck+P8PASHlb27jqlAUH//ZlBY0et12zSivlpc7wlS9BEq0G0kPrH3AVF3IHCMCDlrN1B/noAxv/blcYn2/auqSs4YVs5lzAppSMKOZI5R0n4o5l+FeCaCRqST1v7nPP9pYmD7R5hXEBiLbmsmDTFT1yTQQ0fip2ytjsEzX+wEjsYnDelznv80OfglQO98DRwjdhmmLut7C1hPgoETB+cywHbw3jwJXFej15KyPP9JYvC7cqhXUo8jd9clvnd1iLDSd+KhHz2WEijttaQdwertUo+Lu0apG/CRjtND0PdJSxIEyTgOoh0/zYdYlHw0VAwu6/ruB7964VIUmzacA6XPa+ry9KpQ0sfVwmq2s1/K+jBb/7CiD4A1Brhob4rLv3MuwnaiFBZjNz568PydmXvis589czXkOAKBrQlEX1d3ZuOg+vLl38l7zgbSjrb0ETn6zKPUGcesnNNsIO1Y5JOneX0MAXkr3uHFhqrXKI2/FoWvA2cdD3oFIW/FpclIunisEUpah8KS78C3PoI92Ne8Iq1XQvrjkAs9+dNriPwd8e2vei3yt+PiTtm3N5pSeraZL++9KBzsxW9g6ZkWhfOHjRM7wwwrAZCGeOeO2PgVYsF+4/iJUA6e/3mG2UDdSvYmZywKR7Uf8umE59CxMFOXtYqQ4IxF4ah6nF/ymS14Cs5bgloX1xOuJjD9YgV8ZGHzEPB9otVFPhFxfhb2lWkEVAwu65wr+QbVCyNebJKGuBQxVt0lDWn9VtrRbXcOi8Ltv1D+pSlysX9CkDXreCw2vin/dABzZ2LRMSO+mGNcxmKzmaKsaO6dW6NlvdokOs6py4tF5YS0Dx7AnGFhX2kebIxDc4h9kvNiUfmXsdy+OeHZhcc6K/rivDCCuCArGiFKYT5qnVGtZv0znjn4yfoTY1Y6OZd1VmAAtpu+J1DvLfTkjiMmwyBwffQ1lHReqx37HU7AK4i1jPTp/k+AwYvCmatKey6hHf7c9YFmSV481qgx59M+ED0YzwUDoF20r7CglNpmfIQS0ufB2dPhLMGNCSB+K3brQ468iKUdl4+xE+fZhQorQR4G7S28B31UuPEsdCvZm5aWwXi+kvofubmaOBd2uX1r6gTHOUsA83914HwmqQ5XAsymcQF3RcBH3h4Cvq+vYuzCfUuMrAr9bwaXdfaVfAfVC6NdbMKMUTh/z1RnLKgR4CH8ANurw2ivYHv1QQ8AegDQgwmqANADgB6A6xtW4P8G6lvS7f0g78prt415Ut5cM8m+oAcAPQDowQRVAOgBQA/AdQ4rlJKmvLl4bnlFq5Uz987vf12+4qAHAD0A6MEEVQDoAUAPwPUOK5RSqiql7FaIoeOD6MjCn/eq7YHdStdSsgfoAUAPAHowQRUAegDQA4BhhTUoGUAPAHoA0IMJqgDQA4AeAAwrrEHJAHoA0AOAHkxQBYAeAPQAYFhhDUoG0AOAHgD0YIIqAPQAoAcAwwprUDKAHgD0AKAHE1QBoAcAPQAYVliDkgH0AKAHAD2YoAoAPQDoAcCwwhqUDKAHAD0A6MEEVQDoAUAPAIYV1qBkAD0A6AFADyaoAkAPAHoA3GEFN9xwww033HDDbdQ2ii0rLEHJAHoA0AOAHkxQBYAeAPQAYFhhDUoG0AOAHgD0YIIqAPQAoAcAwwprUDKAHgD0AKAHE1QBoAcAPQAYVliDkgH0AKAHAD2YoAoAPQDoAcCwwhqUDKAHAD0A6MEEVQDoAUAPAIYV1qBkAD0A6AFADyaoAkAPAHoAMKywBiUD6AFADwB6MEEVAHoA0AOAYYU1KBlADwB6ANCDCaoA0AOAHgAMK6xByQB6ANADgB5MUAWAHgD0AGBYYQ1KBtADgB4A9GCCKgD0AKAHAMMKa1AygB4A9ACgBxNUAaAHAD0Ag8KKKm+M+yzUP1dQCOOjvQowvvNI+3VueToWHYvNbpYV1fVZdTeTio7FxldyR23GF5OtB1U5yK3CnTyb2at6nmyvXf3mmbASj47FM7Lq8YULga0Hoin7W3A/ROc2dp1X3bwfotOrwr6iMb0jWJfIpP3d9kocPJRqmv0jTZEE+GgilXlcbfeYHhh7FZoil55sLc9tyB3nB7anZnxl60DRvH//omDqIeCie1SCE/OFGrPHg3lYURX5+TNhZcq/GCTN0t3xxaJywvKwwrSsEFXejEdn7LcyaR88mPtCVjGtnBq2T+D/lne/bROjaB7ftF2yblX4KLV50CaUtA8ezH60Ve2yOzCmHnrN5zs5KGr1KmrBfbK6n5Ut8eUVrqRJ85vcNqSQXvtoZ3V8IiUcGTVQtyrcXt1+3SaUam+Ky9PxtVKToQm2JXL3ryXxu3bP8GAr3Mi7F9uPJEWlZtCfzVWv7i1BSa24sLh6ezrmLOEp7TVL9+Pja8UaqDh4MHujL81cLOw8BF10qP5cYYVpPc320ThRCmv/tvxR0DsbeVdem2YsgZ45rFB6ouzmMaycAYZ33smPL7+16htV3rAVykQpzFvZhajyZpxtUxnDkujvL1/+ZJ0ZqRXnJpzPYbcqLMSXd75j/g5Nh3g/0BOlsBgz7gHn/QBvTjMsKyemoe3H1y+b5rXuyJkZ835wfkSJUph3F30XDvtmf4/TdD8mJ0phkWWLI2XoIfCid2QhJ7saWhauaFFp4lFImnSrwv3/ytyOX46wQt5Vv/+FzfFdPYbVAUmUwrz1unCiFBYdHXmqvMG2WW94HbGOyolSolVzqfH75eYQkgodpgeiyptGY1vf/RBUWl0IQ/NAasU5/2ZFZ8Rnw0iEFdqRMzO2BoaOnFm48h507Bed/Kz8aH8ITpTCbZZ9QHS0wgrRqg9XhW+b8ualCCtEq+a3zLtWU2RRWP1gU6q9yi1Px5f3ahqxd3bGl3OSbagEaR/tZeagEzT37ZH0x4ey+i+lsGhrW+vImZlYdCxm77OwOhTN3nSiKS+fCWsfFv5PVUobsxOx6PRq4Y2tV9V+DDvftXuOrkcol0mtODfh/lsXzDCeQFWRCxvLf7beD/rvRVXeGL/aHbEmHTkzd7f0zmhDqBXnfpPK5GG0Cvu++eGGlSm9r6cjZ2aco9D6f3KxDMMD0RS5mLn3QPbv71LljQ9YB9nRCCtEq+ZS0bH48l5NO2nLwgZ0ETJkmGHF76KTWnHhsyt/P/iGFe1oa/lhVftVHe2wYu+xszWR6cFiJXfUVKu51Gyuqv1S3f7CGLCp1gpr5lAJ0izdHZ/TiwbtTXF52kgJxHnyjgZqqh3lMo/0JnroTc/Iqp48JlJr2b2jNnHvwRqQoXew6emkKW/O2Ytg0iz9xxoELEawvvOsiGYbSNgfTa5PWFHljTlrFAJRCvPWUFO1VljzGNFykQw1tK0YZ3qiFBadndCu9qcLh7kHo+yKTqQyJZ+BSkSVv5i3hvUwYjTCCjUG9LAeT2oypEcj6KITpfAh274wOkJhpVsVPtuqdvvqa0acqWWlJhZfmrd1R87MOFomPMZOw+925MwN24A+eyIJCCte45vgI2f96njeVHnjA/OQeu2jnVWzfnK0654ohXvXoW3TaNCa1lsUrm9YMZ83wN4VAj+oFecmrnqLAjWac20lsipvjI8ZLaO9dvXxxuxvrv79YEyA8h5NrL9Hsq6mRyasEE15viVkN2YnYtG5oPani2E4t0TQRR9CfUFHJawQrfrogd4gfWnCimvMiius+A/VdFeHIcNKR87c8C40fcNKXw3koFsVFqxuoAXWc5qG2jdv3H/XtBuIaNVHG46+QmcbnvdPLpZhlci5zGNng6I1qzm+LDwrZFJXecqDHb8r3q1ufwlzYRgzGmGFaLW9u/9eapoN0mxbHOlwbonAiz6M+oKOSFjRjnKbz424eonCigOvsOJ1Gn3PQ/iw4tN3HhxW/B8tY6bDz6r8xYfMmzeHWygb9597bD9RCvNXvXIizW9yu2+crbv9t2vfUNMLZhgl0bsX218Fdn1e5akf/bhmQlFKKe01nz/aG0ZSoSMSVkitOGdvWrO947GCuYcBF30ofUB0JMKK5/xt1sutnXtYMbqB7EtvaW/k6i/6SMYzdgPZF+oh2vevqoHdQEQpzLuWQYNj0IEH74ut/7zHOBvSkRlYeo2mLlNKKSVtObctG3ekrStTlTfGp63xtgEteRcD88XQmvL2I2uotfZmr/DaWf722vKXqau9uIgD+0BjoNeWH+WsXg+1tvv4JcP36ZEIK+6m1itfRAy86MPpA6IjEVbcH1+NlhWqRwF7+NILvl6zdD9uDfPsVoUFxzIP+oiKXrv6dRFmDIEO7WhrdsK+eqCeeALGrPgeg3FKzdLdcZ+O6guG5UpH5bUZI+T12vKX88v2ocTXZ1E4ounzxTyXdbIvfuUc3sQEpiWRVivrT5bnWpwww25lahhLzjD00GuW7seNtynSPngwd8/W8q8qpc3UUFfrHomwopfP+qJwVHtTXP6dLdOzgKGHEBd9SH1AFMOKwaCw4hot62osNaf+RmdSsyvWoVvrdjunLtvWd98SvykLH9l2CBMxoDnkZ6VwO5XJvzDaZqwJz8bUZb3tBP5E5uAnq5HKKHytY5hIZQqya6X5YSwbALB8AnWlILzUt8i8ueK47wr0FwgzDxBMA1svzVnuQ1henW14ne5ryIUSx2jmnc0UZdarqgNMw2ttT19FPjq9KpRsVxxeqIa5tjplXTmZs6L6ngtbMX6ll9sPddGJsneX+bwwgO394Orx8UwkoxlWLhDWIxkdXKuYPJKgBwA9AOjBBFUA6AFAD8D1DCu9Zukz9kNrAbzzAPQAoAcAPZigCgA9AOgBuFZhRV+TMRYdi13H5dVHC/QAoAcAPZigCgA9AOgBGFZYsXeUsuv60sfVOv8HAMbgnQegBwA9AOjBBFUA6AFAD8AQW1auKSgZQA8AegDQgwmqANADgB4ADCusQckAegDQA4AeTFAFgB4A9ABgWGENSgbQA4AeAPRggioA9ACgBwDDCmtQMoAeAPQAoAcTVAGgBwA9ABhWWIOSAfQAoAcAPZigCgA9AOgBwLDCGpQMoAcAPQDowQRVAOgBQA8AhhXWoGQAPQDoAUAPJqgCQA8AegDcYQU33HDDDTfccMNt1DYrrCAIgiAIgowm/w/vID9DCrSWcgAAAABJRU5ErkJggg==" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the modal class.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the mid interval value for the class 6 ≤ <em>x</em> < 10 .</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate an estimate of the mean annual snowfall.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the number of years for which the annual snowfall was at least 18 cm.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The temperatures in °C, at midday in Geneva, were measured for eight days and the </span><span style="font-family: times new roman,times; font-size: medium;">results are recorded below.</span></p>
<p style="text-align: center;"><span style="font-family: times new roman,times; font-size: medium;">7, 4, 5, 4, 8, <em>T</em>, 14, 4</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;">The mean temperature was found to be 7 °C.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the value of <em>T</em>.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span><span>Write down the mode.</span></span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the median.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The number of passengers in the first ten carriages of a train is listed below.</span></p>
<p style="margin-left: 30px;"><span style="font-size: medium; font-family: times new roman,times;">6 , 8 , 6 , 3 , 8 , 4 , 8 , 5 , <em>p</em> , <em>p</em></span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The mean number of passengers per carriage is 5.6.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the value of <em>p</em>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the median number of passengers per carriage.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>If the passengers in the eleventh carriage are also included, the mean number of passengers per carriage increases to 6.0.</span></p>
<p><span>Determine the number of passengers in the eleventh carriage of the train.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The grades obtained by a group of \(20\) IB students are listed below:</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Complete the following table for the grades obtained by the students.</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the modal grade obtained by the students.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the median grade obtained by the students.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>One student is chosen at random from the group. </span></p>
<p><span>Find the probability that this student obtained either grade \(4\) or grade \(5\).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The following histogram shows the weights of a number of frozen chickens in a supermarket. The weights are grouped such that \(1 \leqslant {\text{weight}} < 2\), \(2 \leqslant {\text{weight}} < 3\) and so on.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the total number of chickens.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the modal group.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Gabriel chooses a chicken at random. </span></p>
<p><span>Find the probability that this chicken weighs less than \(4{\text{ kg}}\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The cumulative frequency graph shows the heights, in cm, of <strong>80</strong> young trees.</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAkgAAAJ2CAIAAAArDOolAAAgAElEQVR4nOy9/3dUVZ73e/6A3Ode7r1rPSv3Lp6qZT2w6Fk9ImZY94mNHdOrAWlnCDJjGnSaCaCGSrcGpyViwpdpg2MnQRCEFA89NWgCLa3kqWiUplNENMQCtdIWSuhJOUQJ1aElVgRDKjGVnH1/OKEoqio7VaeqPmef2u/3Oj80lRe7Xr1z9O2p2mcfheVcXn755WAwaLQFgiAIYkwUowUynN7eXkVRXn75ZaNFEARBEGOSa8W2adMmRVEURcFFG4IgiJzJqWL75JNPSkpKtCs2XLQhCILImZwqtpKSkq6uLu1yDRdtCIIgciZ3iq2rq6ukpIQxpigKYwwXbQiCIHImd4pNu1xjN4sNF20IgiByJkeKLXK5xm4WG8NFG4IgiJTJkWKLXK6xqGLDRRuCIIiEyYViCwaDjz76aOSPkWJjjL366qt/+MMfjJBCEARBjEkuFFtMoosNQRAEkS052AEoNgRBEJmTgx2AYkMQBJE5OdgBKDYEQRCZk4MdgGJDEASROTnYASg2BEEQmZODHYBiQxAEkTk52AEoNgRBEJmTgx2AYkMQBJE5OdgBKDYEQRCZk4MdgGJDEASROTnYASg2BEEQmZODHYBiQxAEkTlidIB6ve/0Oy0trrZ3ewbD6u0/Gxvsea+txdV2+uKwmvhvxwTFhiAIInOM7wB1+Jyz7P41e972dLoa1hTMKXvl/PDEzZ9dO+8sL1yz8633T772TMnibe0DsbWXICg2BEEQmWN0B6hfdTxzT/7GE0GVMcbU4Mln5uUv3PbekMoYmxjqrF2orHT03GCMsZGPGgrnlDh7xmcaEsWGIAgicwzuAPXS0dV51p8e/eLmhViwc2uhkrfu6KXv2KS/aYVVWeTomYj6Uf6mE8GJaYdjjKHYEARB5I6xHaDe6Nw+W7Gtaem/+cp4/9G1ijK/8sRf1L6mEkXJK2+7etuPCqo6BvmDotgQBEFkjsHFNnbmeauSN7/h47GpV8IDLeWKYlvT8sX1jmfzFcXW4A3f9qNZixyf8S/ZUGwIgiAyx+iPIr9q2zBLUQp3eke0DyNHe50PKYptTUvfQEu5cluxTcZVHVOSjs1ixYEDBw4cZjxSbRbDL26Ge5vK5yiz76vcd6ztzd85qh6w5SnK/Xt81+KKLRz3SuIkc8XmPNQkFJPMbw7O6TNwpmHgTMPI7MyP4cXGGBsb+PiYo6GhYc/hP3x4bMv385TCnd6RyRud22cnKLbZJU2f85f8o9hoGDjTMHCmYeBMw8hTbJGM/7nFPkspsLf1q1MLJpX8qo7rUz/VPqW8b8eZb/ijoNhoGDjTMHCmYeBMw0hXbOpV9+aF+fM2tv1ZuwtbvdSydp5yz17fd9oV2mBHVUHUt3HTBsVGw8CZhoEzDQNnGkauYlOHzznL7rlv49GeyLYjTB3x7V2cd3+D9xpjTA2e2Jg/dTHHD4qNhoEzDQNnGgbONIwcxaYO9587c/K1urLiv3/m8MdX4zaKHDhZu7j45y8591Ytf2BD07lktotEsdEwcKZh4EzDwJmGkaPYRr84867He65/+sZSw4N+r/eT3sGx6YiYoNhoGDjTMHCmYeBMw8hRbFkIio2GgTMNA2caBs40DIpNZ1BsNAycaRg40zBwpmFQbDqDYqNh4EzDwJmGgTMNg2LTGRQbDQNnGgbONAycaRgUm84oiuI81GSuw2axGu4AZzEPOMMZzim3QDaqxdjgio2GgTMNA2caBs40DK7YdAbFRsPAmYaBMw0DZxoGxaYzKDYaBs40DJxpGDjTMCg2nUGx0TBwpmHgTMPAmYZBsekMio2GgTMNA2caBs40DIpNZ1BsNAycaRg40zBwpmFQbDqDYqNh4EzDwJmGgTMNg2LTGRQbDQNnGgbONAycaRgUm86g2GgYONMwcKZh4EzDoNh0BsVGw8CZhoEzDQNnGgbFpjMoNhoGzjQMnGkYONMwKDadwV6RcIYznOEs5oG9InUGV2w0DJxpGDjTMHCmYXDFpjMoNhoGzjQMnGkYONMwKDadQbHRMHCmYeBMw8CZhkGx6QyKjYaBMw0DZxoGzjQMik1nUGw0DJxpGDjTMHCmYVBsOoNio2HgTMPAmYaBMw2DYtMZFBsNA2caBs40DJxpGBSbzqDYaBg40zBwpmHgTMOg2HQGxUbDwJmGgTMNA2caBsWmMyg2GgbONAycaRg40zAoNp1BsdEwcKZh4EzDwJmGQbHpDPaKhDOc4QxnMQ/sFakzuGKjYeBMw8CZhoEzDYMrNp1BsdEwcKZh4EzDwJmGQbHpDIqNhoEzDQNnGgbONAyKTWdQbDQMnGkYONMwcKZhUGw6g2KjYeBMw8CZhoEzDYNi0xkUGw0DZxoGzjQMnGkYFJvOoNhoGDjTMHCmYeBMw6DYdAbFRsPAmYaBMw0DZxoGxaYzKDYaBs40DJxpGDjTMCg2nUGx0TBwpmHgTMPAmYZBsekMio2GgTMNA2caBs40DIpNZ7BXJJzhDGc4i3lgr0idwRUbDQNnGgbONAycaRhcsekMio2GgTMNA2caBs40DIpNZ1BsNAycaRg40zBwpmFQbDqDYqNh4EzDwJmGgTMNI1Oxha/2vPt2S0uL68RHl4Ynbv/Z2GDPe20trrbTF4fVpAZDsdEwcKZh4EzDwJmGkaTY1PDAyedLHnrmtVMfez8+8/s9awrLneevTVWYeu28s7xwzc633j/52jMli7e1D4RnLjcUGw0DZxoGzjQMnGkYSYrt686ti/KrOq5P/fHamR2L8lY0XZxkjE0MddYuVFY6em4wxtjIRw2Fc0qcPeMzjYhio2HgTMPAmYaBMw0jR7FN/sm5JH/Whravpq7Ebvj23K8s2OObYGzS37TCqixy9Ex9Nhns3Fqo5G86EZyYfjjGUGxUDJxpGDjTMHCmYeQoNvZ159ZFinLfMyf6w4yx0T/uKZ633HFulDG1r6lEUfLK265OkeP9R9cqSkFVxyB/RBQbDQNnGgbONAycaRhJik0ND7RvK56tKAvKHK5jWx8p23t6IKwyNnm949l8RbE1eMNTZHigpVxRZi1yfMa/ZEOx0TBwpmHgTMPAmYaRpNhYVLcpecv3+6ZWRWo1Fl1s8VWXOCg2GgbONAycaRg4Z4QJhUL+2+N2u1tdrlaXKxgMZtCZHxGKbWzg5I6Ssm115YvylLw5Za+cH55IVGzxrzDGmJJcbBYrDhw4cOAw45FqqRhebOGr7z9f/P0tHcEJFr58ctuyPCVvjv2tAVW90bl9doJim13S9Dl/yT+u2GgYONMwcKZh4ByTYDDo9/tbXa7Dzc011dX3/mBRdNPUVFfXVFc7Gh3a1ZjP5/P7/S/UNfj9fhpnfowutonPHItmzd7aeUP7Y/hS28ZCRXnI2TuqXjq6Ok+JuhNgtNf5kKLct+PMN/whUWw0DJxpGDjTMHDWPjZ0NDpqqqsjBVZht9dUV7e6XJuqNvv9/kAgIIgzP0YXW9jbYIu+LFPHzjxvVUocPSNMvdSydp5yz17fd9oV2mBHVYFSuNM7MsM92ig2GgbONAycaRgJnQOBgMfjcTQ6li5ZqtXYqtLS+ro67QospsMEcU4yRhcbC57ZsVgp3usb1epqInhi0+wSZ++4ypg64tu7OO/+Bu81xpgaPLExv8De1j/j1iMoNhoGzjQMnGkYSZwDgYDb7a6vqysuKrJZrMVFRfV1dZWVT/n9/lAoJKazjhhebEwdPte0obiw7IVXjx07+m/b1qyu7xgYu/nDsYGTtYuLf/6Sc2/V8gc2NJ1LZrtIFBsNA2caBs40TA47h0Ihn8/naHSsKi3VyszR6PB4PJFrMgGdZ2T4Mb7YGGOMqeFBv9frPdcf31zajz7pHRxL9BcTBMVGw8CZhoEzDZN7zqFQyOPxrFr1cGS5h9vtTvglmTjOyY/DjyDFlsmg2GgYONMwcKZhcsZZ67P6ujrt4qysbJ3P56P5mBHFlsWg2GgYONMwcKZhcsDZ5/NF+szR6PD5fMQ+KLYsBsVGw8CZhoEzDWNe52Aw2Opyad+f1dfVeTweo3xQbFkMio2GgTMNA2caxqTO2iXaqtLSyJ5VBvqg2LIYFBsNA2caBs40jLmcPR6PdolWU12tfeRorE/yDIpNZxRFcR5qMtdhs1gNd4CzmAec4Rx91GzZru1uVVa2zizO6c9zyi2QjWoxNrhio2HgTMPAmYYR31m7StMWhmR2p3wzzjM/KDYhGJlPUDjzA2caRmTnyAePrS5X9MJ9kZ2nC4pNZ1BsNAycaRg40zBiOvv9/gq73WaxRq7SoiOmMz8oNp1BsdEwcKZh4EzDiOb88j6HtuKxpro64XJHJp4zii2LQbHRMHCmYeBMwwjl3OpyLbhz/qrSUv7jzYRyTpJBsekMio2GgTMNA2caRhDnQCBQYbcXFxVVVj414ziCOKfEoNh0BsVGw8CZhoEzDSOCc6vLFfns0SzOqTIoNp1BsdEwcKZh4EzDGOscuVBzu93JjyPzPPODYhOCkfkEhTM/cKZhDHR2u93xi0QEd9bNoNh0BsVGw8CZhoEzDWOIcygU0pY+trpcOsaReZ75QbEJwch8gsKZHzjTMPTOgUBgVWnpqtJS3Q//lHme+cnNYnMavR9aqoc8e77BGc5iHsTONVu22yzWFSUPHjjoNIuzgfOccgtko1qMDa7YaBg40zBwpmEonbX9i+M/fkx1HJnnmR8UmxCMzCconPmBMw1D46x9qbbgzvkxjwPV914yzzM/KDYhGJlPUDjzA2cahsA5FAppa/pf3L0nI+8l8zzzg2ITgpH5BIUzP3CmYbLtrC0VqbDbk7z5WgTnbDAoNp1BsdEwcKZh4EzDZNU5EAgUFxVV2O3aQ2dM4ZwlBsWmMyg2GgbONAycaZjsOce0mu5x4iPzPPODYhOCkfkEhTM/cKZhsuSstZqj0ZHmOAkj8zzzg2ITgpH5BIUzP3CmYbLhnLDVdIwzXWSeZ35QbEIwMp+gcOYHzjRMxp2na7VUx+FE5nnmB8UmBCPzCQpnfuBMw2TWWWu1murqNMfhR+Z55gfFJgQj8wkKZ37gTMNk0DkUCsWsFtE3zoyMzPPMT24Wm9Po/dBSPeTZ8w3OcBbzyJTzgYPOpUuWLl2yNJ1NIDHPMUfKLZCNajE2uGKjYeBMw8CZhsmU84qSB4uLiqa7Vkt+HMxzOkGxCcHIfILCmR840zAZcXY0OhbcOT/hY2hS9cE8pxMUmxCMzCconPmBMw2TvrP2IOznap/PiA/mOZ2g2IRgZD5B4cwPnGmYNJ39fr/NYnW73SZyNoRBsekMio2GgTMNA2caJh3nYDAYuWXNLM5GMSg2nUGx0TBwpmHgTMOk41xht2d8g2PMczpBsQnByHyCwpkfONMwup0PNzcXFxVFFoyYwtlABsWmMyg2GgbONAycaRh9zj6fz2axRj8OW3xnYxkUm86g2GgYONMwcKZhdDhrO4xkaed+zHM6QbEJwch8gsKZHzjTMDqca6qrV5WWxtyLLbiz4QyKTWdQbDQMnGkYONMwqTprd63F34stsrMIDIpNZ7BXJJzhDOesOr+8z7HgzvmVlU+ZyFmQA3tF6gyu2GgYONMwcKZhUnKuqa6usNuz6oN5TicoNiEYmU9QOPMDZxomeefpPoTMrA/mOZ2g2IRgZD5B4cwPnGmYJJ21lZCtLle2fSSf5xkZflBsQjAyn6Bw5gfONEySzvV1dfErIbPhI/k8z8jwY3yxqcP957wx+aR3cOzmz8cGe95ra3G1nb44rCY1IIqNhoEzDQNnGiYZ5xfqGmwWq9/vJ/CReZ5zoNhu9DhWKrEpqOoYZIwx9dp5Z3nhmp1vvX/ytWdKFm9rHwjPXG4oNhoGzjQMnGmYZJzv/cGi+ro6Gh+Z59n8xTbyUcPilVWO37ZM5dhvd/x0Vv6zHdcnGZsY6qxdqKx09NyYIgvnlDh7xmcaEsVGw8CZhoEzDTOjc6vLteDO+cFgkMZH2nlOchx+jC02deTsq/s/DkZdhQ379jyQX9VxnTE26W9aYVUWOXomtB8FO7cWKvmbTgQn+IOi2GgYONMwcKZh+M7ampHKyqfIfOSc5+TH4cfoK7aYfPfJnnsKtc8h1b6mEkXJK2+7OvWz8f6ja299Sjl9UGw0DJxpGDjTMHxnR6NjVWnpgYNOMh855zn5cfgRqtjU73x775n6HHLyesez+Ypia/CGp34aHmgpV5RZixyf8S/ZUGw0DJxpGDjTMBznYDCobeFvImdDfFBsCRP1OeRUjUUXW3zVJQ6KjYaBMw0DZxqG4xzZZ8REzob4oNgSJepzyETFFv8KY4zFrahMHJvFigMHDhw4zHikWibiFFv055CMMfVG5/bZCYptdknT5/wl/7hio2HgTMPAmYaZzrmmurqmupreR7Z5TnUcfsQptujPIRljTL10dHWeEvXKaK/zIUW5b8eZb/gDodhoGDjTMHCmYRI6+/1+W9Qd2aZwNtAHxRaX2z6HZIwxpl5qWTtPuWev7zvtCm2wo6pAKdzpHZnhHm0UGw0DZxoGzjRMQufoyzViH6nmWcc4/AhSbDGfQ069OOLbuzjv/gbvNcaYGjyxMb/A3tY/49YjKDYaBs40DJxpmHjnmMs1Yh955lnfOPwIUmyjvc6Hoj+HvJmxgZO1i4t//pJzb9XyBzY0nUtmu0gUGw0DZxoGzjRMvHPM5RqxjzzzrG8cfgQptht9ncc7+24k+pEaHvTfvi3yDEGx0TBwpmHgTMPEOMdfrhH7SDLPusfhR5Biy2RQbDQMnGkYONMwMc7xl2vEPpLMs+5x+EGxCcHIfILCmR840zDRzoFAIP5yjdhHhnlOZxx+UGxCMDKfoHDmB840TLSzo9GhbTVioI8M85zOOPyg2IRgZD5B4cwPnGmYiHNkZ0hjfXJ+ntMchx8UmxCMzCconPmBMw0TcT7c3LyqtNRwn5yf5zTH4Sc3i815qMlch81iNdwBzmIecKZ0PnDQueDO+ZWVTxnuk9vznOqRcgtko1qMDa7YaBg40zBwpmE0Z4/HU1xUFAqFDPfJ7XlOfxx+UGxCMDKfoHDmB840jOa8qrTU0egQwSe35zn9cfhBsQnByHyCwpkfONMw2vp+m8UaCARE8Mnhec7IOPyg2IRgZD5B4cwPnGkYm8XqaHTE35RtlE8Oz3NGxuEHxSYEI/MJCmd+4EzD2CzW6Vb5G+KTw/OckXH4QbEJwch8gsKZHzjTMDaLtbioSByfHJ7njIzDD4pNCEbmExTO/MCZhrFZrIebm8XxyeF5zsg4/KDYhGBkPkHhzA+cCZgZl40Q+yTJmG6eGYpNd1BsNAycaRg4EzCORofpnJkJ55mh2HQHxUbDwJmGgXO2mVAoVFxUZC5nLTI785ObxeY0etuYVA95tsaBM5xFO2q2bNeWRBpuktvznI5zyi2QjWoxNrhio2HgTMPAOdtMfV1dfV2duZy1yOzMD4pNCEbmExTO/MA5q4z2kBqfz2ci50hkduYHxSYEI/MJCmd+4JxVxu12a7evmcg5Epmd+UGxCcHIfILCmR84Z5WpsNu1XY9N5ByJzM78oNiEYGQ+QeHMD5yzx0Q+h2TmcY6OzM78oNiEYGQ+QeHMD5yzx7jd7sjDss3iHB2ZnflBsQnByHyCwpkfOGePqbDbI9tomcU5OjI784NiE4KR+QSFMz9wzhKjfQ4Z2UbLFM4xkdmZHxSbEIzMJyic+YFzlpjozyGZSZxjIrMzPyg2IRiZT1A48wPnLDGR9ZBaTOEcE5md+UGxCcHIfILCmR84Z4OJXg+pRXzn+MjszE9uFpvT6P3QUj3k2fMNznAW4dhUtXnBnfPN5WzGec6Uc8otkI1qMTa4YqNh4EzDwDkbTH1dXfTnkMwMzvGR2ZkfFJsQjMwnKJz5gXPGmVAoFPM5JBPeOWFkduYHxSYEI/MJCmd+4JxxxuPx2CzWUCgU/aLgzgkjszM/KDYhGJlPUDjzA+eMM45GR31dXQwjuHPCyOzMD4pNCEbmExTO/MA540xxUZHb7Y5hBHdOGJmd+UGxCcHIfILCmR84Z5bx+/02izUYDMYwIjtPF5md+UGxCcHIfILCmR84Z5Y53NwcveFIJCI7TxeZnflBsQnByHyCwpkfOGeWid74ODoiO08XmZ35QbEJwch8gsKZHzhnkNE2HPH7/fGMsM6cyOzMD4pNCEbmExTO/MA5g4y20D8hI6wzJzI784NiE4KR+QSFMz9wziBTX1cXv9Bfi7DOnMjszE9uFpvT6P3QUj3k2fMNznA28Fhw5/xNVZvN5WzGec64c8otkI1qMTa4YqNh4EzDwDlTTCAQSLjQX4uYzvzI7MwPik0IRuYTFM78wDlTTMyTRWMipjM/Mjvzg2ITgpH5BIUzP3DOFFNTXR2zo390xHTmR2ZnfqbpgPDYaFhNc2ijgmKjYeBMw8A5U4zNYvV4PNMxYjrzI7MzP4k7INx9YNOR89fM2W0oNhoGzjQMnDPCTLeTViQCOs/IyOzMz3TFtqvAYiv4SeXu33X+aXCUrN/U4UvejrdbWv7gGwzffG1ssOe9thZX2+mLw8l5oNhoGDjTMHDOCNPqclXY7RxGQOcZGZmd+UncARN+d5v/2+H+7uO/2f6zoiU/+5d/O959aTirF3Dhv3ibfllcuK7+tXd7BsemXlSvnXeWF67Z+db7J197pmTxtvaBJBxQbDQMnGkYOGeEmW4nrUgEdJ6RkdmZn5k7QB29+qfTzVt+Mr9gZVWj62zfN+NpvmWChC+f3LZsVnHtyYGxqFcnhjprFyorHT03GGNs5KOGwjklzp4Z3x7FRsPAmYaBc/rMgYNOW9wjs2MimrMZ51n4Yru1eGT8mv/UKzWlBRarzbLwH37x5M+Klj32wm8/uDySscs39cr725flzalsuTR62+uT/qYVVmWRo2dC+3Owc2uhkr/pRHCCPx6KjYaBMw0D5/SZ52qft8U9MjsmojmbcZ5FL7Zwt7Ou3d/Xffw3WqXd8ePyF3932j8U1i7g3t3/2I+eeLXnWia6bSLYsWWeYo2/FFP7mkoUJa+87erUC+P9R9cqSkFVxyB/RBQbDQNnGgbO6TOVlU/xv2Bj4jmbcZ7FL7ZdBRarTau0Xa7ugZjrs6/an75n7vLf9HyXdrWpfUdX25S8v68/9jvHtsqyso07Xj3VNzzB2OT1jmfzFcXW4L25jCQ80FKuKLMWOT7jX7Kh2GgYONMwcE6fWVHyIP8LNiaesxnn2QzFdseSJ/e9/cfYSpv68e67rLbvbTt1fTLNt1cHWsryFMVWUuU8fsbrOeGwFyh5cza0XAprNRZdbPFVx5SkY9N6GgcOHDhwmO1ItVmmWRV5rrnu1FfTX47d6GtvbuoKhKcFkk3Y22BTlPyqjuvan9UrJzYuUJRFWzv/Elds8VWXOLhio2HgTMPAOU1Gu4ON/wUbE8w5SUZmZ36m6wA1/I2/q/3sF8MTjDH1iufo6+9dGBybBtYfrdiiumoieOKXs5RZixyfXu/cPjtBsc0uafqc/wEoio2GgTMNA+c0mVaX694fLJpxHKGck2RkduYncQeo33700t9932b50XNdQ4wxxsav9bY9V7oxQwtGbmWy17lEUWZv7bxx85Wwt8Gm5C9x/mni0tHVeVEXc2y01/mQoty348w3/DFRbDQMnGkYOKfJ1FRXl5Wtm3EcoZyTZGR25idhB0wMtW/+66JHnzt4wj8cWagRvvrO0/P+ZkfXt+l+r3Zbvvtkzz2zlCXO3qlR1bEzz1uV+xu815h6qWXtPOWevb6pJSqDHVUFSuFO70w3GqDYaBg40zBwTpOxWaw1W7bPOI5QzkkyMjvzk7ADRj7dV1539vrtL6pjZ+sWWJbt7h5O8y1vT/hqx7aFypLnzwRVxhi75m1YNmdDy6Wwypg64tu7OO/+Bu81xpgaPLExv8De1j/jJSOKjYaBMw0D53QY7RlsL++bdlP/SMRxTp6R2Zmf6a7YnqtwXbqtQsKX27css1lW7D83kuZbxka91nN0U3HhhpdeO3a08Zc/tR8+f+sycWzgZO3i4p+/5NxbtfyBDU3nktkuEsVGw8CZhoFzOozb7S4uKjKXc/KMzM78TNMBoT/uL31ky6ETH3Z3d3d/1PWHI7se//Fci3Vu6Sv+8azsGKkO95/zes/1xzeXGh70e72f9Ca9dAXFRsPAmYaBczpMfV1dfV2duZyTZ2R25mf6VZED79Y/tDDqTgLbwjV7Tw9kfmFkxoNio2HgTMPAOR2muKjI7Xabyzl5RmZnfrgdEB76ovu94y5X65vtH/QEhsOqOjY6Jvwz2lBsNAycaRg462aCwaDNYvX7/SZyTomR2ZmfmTvgVtThC7/Z3Xol/duysxsUGw0DZxoGzroZj8ejmZjIOSVGZmd+pumA8Ffdv93x2P0FcVubPIFiywYj8wkKZ37grJs53NxcU12d5DiCOKfEyOzMzzSrIk9tX2ixzr135aPrH33s1vHwT+560hTF5jzUZK7DZrEa7gBnMQ846z6WLlm6YUOFuZzNOM8Ezim3QKIXQxcOltoeesUf+7jq8cuvN5qi2GZkkpkpSkbm//KCMz9w1s3Ybj5c1ETOKTEyO/OTsAPU8d5XVpUc8sfuMaKG/sP3HyHRV4+g2GgYONMwcNbHaHsfB4PBJMcRwTlVRmZnfhIXW3g40H1oyzZXz8CV6PR17arDFVs2GJlPUDjzA2d9TKvLtaq0NPlxRHBOlZHZmZ+EHTDWd2T93MTPxcHikawwMp+gcOYHzvoY7dbs5McRwTlVRmZnfhJ3gDrg2vC9Hz/2Lw27d+26dby47bGijSi2bDAyn6Bw5gfO+phVpaVutzv5cURwTpWR2ZmfaTpA/erUr5s/nYh5deLq8ebjV2NfFS0oNhoGzjQMnHUwkVuzkx/HcGcdjMzO/KRyg7ZJgmKjYeBMw8BZB+Pz+aIdTOGsg0/BwWIAACAASURBVJHZmZ9pO0Ad7f/w2MH6f33TP8HUoQ+bGo919X0r+oJIxhiKjYqBMw0DZx1Mq8tVYbenNI7hzjoYmZ35maYDRi8ceXyRzWK13bWrO8wYmxy93FH/0OradwOif8OGYqNi4EzDwFkHU1Nd7Wh08JmYGO6sg5HZmZ9pdh5p3zzv7rK6wwe3rNzbPVVl4QHXk3Pvrmm/Knq1odhoGDjTMHDWwRQXFXk8npTGMdxZByOzMz8JO2Dk032PbHBdUtnl1l/su1lsE0Ptm+dl/gnamQ+KjYaBMw0D51QZ7anZgUAgpXEwzzSMsVdsOza3/+W2YgtffOPxhTZL6cELoTTfMtvBXpFwhrPMzjVbtusQwDyL7JxyCyR8VR36oL689g1v56F1L7QH+v1n39r/iyVzLbaF5a/3ZecJ2hkMrthoGDjTMHBOlYls6p/SOJhnGsbYVZETw71v1cY8QXv9gbNX8ATtrDAyn6Bw5gfOqTI11dWHm5tTHQfzTMMIcB9b+PrlHk/7m67WN9s/uHBldHzoytcotqwwMp+gcOYHzqkyNos1euVIkuNgnmkYAYrt9qh9r1Xs8or+DRuKjYqBMw0D55SY+JUjSY6DeaZhjCy2iXP7fphwE+S/2dH1bezDbEQLio2GgTMNA+eUGI/HE//ugjvrZmR25idxB4S7dxXctexn0Y/PXrey6O5lP1u/5Q3/aJpvme2g2GgYONMwcE6JiV85kuQ4mGcaxthi+/fdZ6/f/tpo/5sv1mPnkewwMp+gcOYHzikx8StHkhwH80zDGPodW3hsNBy3rH+k67m7KlsHxtN8y2wHxUbDwJmGgXNKTPzKkSTHwTzTMGItHlFHhy6f3V96B3YeyQoj8wkKZ37gnDyTcOVIkuNgnmkYMRePbMFekdlgZD5B4cwPnJNnEq4cSXIczDMNY+x3bLuL7n/41sqR9Rs2/arhpYPmeHINio2GgTMNA+fkmYQrR5IcB/NMwxhbbIf2z/CRoxr++quv47+HEyDYKxLOcJbTeUXJgxs2VJjL2YzzTO+ccgskfjnh4pHoqEMf1tW2XhHxY0lcsdEwcKZh4Jw8k3DlSJLjYJ5pGAOv2L7rf33D3ITfsd12PIFiE+2XDWd+4EzDGOI83cqRJMfBPNMwRn4Uqfa/XnbHXxWtLIv6mu3hn9xd9A/rou7XvgPFJtwvG878wJmGMcR5upUjSY6DeaZhDCy28IDr6VX7/zh824eR4a/eea7ilU9vvhi6cLAexSbaLxvO/MCZhjHEebqVI0mOg3mmYQwstlH/oafj71dTL7/+T3esP9I3tcG/OjY6JuLaERQbEQNnGgbOSTIJ9xxJfhzMMw1jYLGpI2dffHjfJ7dvCjna//oT8yy4QTsrjMwnKJz5gXOSzHQrR5IcB/NMwxi688j452+UL/+nXx89ddbb3d3d7X3ftWtD8R1W29/86tTQRJpvme2g2GgYONMwcE6GCQaD060cSXIczDMNY/CWWurwZ0eeWBK9NnJu0T8f6bkm5KePtwXFRsPAmYaBczKMz+fjvKmYzukzMjvzw+0AdeTKBU/7m65W15vH3zt3eVjEpSLxQbHRMHCmYeCcDNPqck23ciTJcTDPNIzRV2yj/R8eO1j/r2/6J5g69GFTozn202IoNioGzjQMnJNhaqqrHY2OdMbBPNMwhhbb6IUjjy+yWay2u3Z1hxljk6OXO+ofWl2L57Flh5H5BIUzP3BOhikuKnK73emMg3mmYQwstomh9s3z7i6rO3xwy8q93VNVFh5wPTn37hpT7O7vNHo/tFQPefZ8gzOcM368vM9hs1hfqGswkbMZ59lA55RbINGLI5/ue2SD65LKLrf+Yt/NYpsYat+M5f5ZYmT+Ly848wPnGRn+ypEkx8E80zDGXrHt2Nz+l9uKLXzxjccX2iylBy+E0nzLbAfFRsPAmYaB84xMq8tVYbenOQ7mmYYxdK/IoQ/qy2vf8HYeWvdCe6Dff/at/b9YMtdiW1j+et+46CtIUGw0DJxpGDjPyNTX1XFWjiQ5DuaZhjF2VeTEcO9btQ8tjNrL37Zw/YGzV8bSfD+CoNhoGDjTMHCekVlVWtrqcqU5DuaZhjG02MJDX3z6n4Oj1y/3eNrfdLW+2f7BhSujWbxUmxju/8x7K/7BW0+DGxvsea+txdV2+uJwcgIoNhoGzjQMnPk5cNBps1j9fn+a42CeaRgDi218wFU5z7LwyXcG0hw92ah9R1fblJuZtbblz1qHqdfOO8sL1+x86/2Trz1Tsnhb+0ASz+xGsdEwcKZh4MzPC3UNNos1FOJ99y+asxnnWTRnfhJ2QPhqe83C71W3B2O2hZwc/vTsp8OTab5lXNQR7+4VlfuPtWh5q7PvBmOMsYmhztqFykpHzw3GGBv5qKFwTomzZ3ym4VBsNAycaRg481NZ+dSq0tL0x8E80zBG7u4fHv7PP9Q++cyRM30DV27lsu+Np7dm/hls6qWWR3/Z8ue4wpr0N62wKoscPVP1GuzcWqjkbzoRW7exQbHRMHCmYeDMz6pVD9fX1aU/DuaZhqEvNjV848aoyhgb6zuyPnr746gj40/NVke8OwsVRcm7Z03tq+/2XY981Kj2NZUoSl5529WpF8b7j65VlIKqjsEZ/i+h2EgYONMwcOZn6ZKl/JUjSY6DeaZhiItNHe97fcPdC1Yf+XySMXXAteF7P3nyhRd379oVddQ+ef9TmS62G71Hq8v+8YGCPEVRFCVv2baTl8OMMTZ5vePZfEWxNXhvvl94oKVcUWYtcnzGv2RDsdEwcKZh4Dzje/FXjiQ/TkZ8cnWeRXPmJ9IBg6dqfmi7u+JV7cE06lenft38aWyBhAfePHT8anaex6Zev3ii4adz8pS8FXt812/WWHSxxVdd4qDYaBg40zBw5sTv98+4ciTJ98I80zDExXa5dX35K/6p82Pi3P4H952La7CJoa7ff5DFB41ODPv2L89T8qs6ricotvhXmJJ0En2sigMHDhw4THCk2iWRYhv+dN8z+7uDU/tnde8q2tUde2GkXv90f0PmF4/c9hZXTmxcoJQ09anqjc7tsxMU2+ySps/5S/5xxUbDwJmGgTMnjkbHipIHM/JemGcaJlPO/NzqAPXqezt+8v2ZmjPji0diMtbX9Ii2YES9dHT11NWbltFe50OKct+OM9/wh0Cx0TBwpmHgzEmF3V5Z+VRG3gvzTMNQFxtjanjoQvuhuk2PP/royh/Ou3flo+sffSzqeHTlD+dmu9jUKyc2LrO39auMMfVSy9p5yj17fd9pV2iDHVUFSuFO78gM92ij2GgYONMwcOa/0XO1z2fkvTDPNAx9sd1K4o8i2ciFgzszW2zq8Ge/e77O+e5/DquMsbGBkztWPNX256ntRdQR397Fefc3eK8xxtTgiY35BVOdxw2KjYaBMw0D5+mirRx5eR9v++Pk3wvzTMMYWWzq4Kcd567GVYga/vqrr5PY1Cr5qFdPbS+erShKXsGSZQuLyx1dt2+aNTZwsnZx8c9fcu6tWv7AhqZzyWwXiWKjYeBMw8B5ung8nuKiInM5Z5aR2ZmfmTsg6wkP9sZufBwdNTzo93o/6R1M9sECKDYaBs40DJyny+Hm5prqanM5Z5aR2ZkfAYot00Gx0TBwpmHgPF1qqqtbXS5zOWeWkdmZHxSbEIzMJyic+YEz5118Pp+5nDPLyOzMD4pNCEbmExTO/MA5YQKBgM1iDQQCJnLOOCOzMz8oNiEYmU9QOPMD54TxeDzau5jIOeOMzM78TNsB6mj/h8cO1v/rm/4Jpg592NR4rKvv2yw+QztzQbHRMHCmYeCcMNrKkfTHiQTzTMMYWmyjF448vshmsdru0m5nmxy93FH/0OradwNZ3XckI1EUxXmoyVyHzWI13AHOYh5wTnisKHlww4YKczmbcZ4FcU65BRK9ODHUvnne3WV1hw9uWbn35n3a4QHXk3Pvrmm/Knq14YqNhoEzDQPn6d7C4/GkP070gBkZJ8fmOeOMgVdsI5/ue2SD65LKLrf+Yt/NYpsYat88z7Jsd/dwmm+Z7aDYaBg40zBwjk9k5Uia40QH80zDGFhsE0PtOza3/+W2YgtffOPxhTZL6cELMzz6yPCg2GgYONMwcI5PZOVImuNEB/NMwxi6pdbQB/XltW94Ow+te6E90O8/+9b+XyyZa7EtLH+9b1z0FSQoNhoGzjQMnOMTWTmS5jjRwTzTMMauipwY7n2r9qGFtlsPrLEtXH/g7JVk97UyMCg2GgbONAyc41NTXX24uTn9caKDeaZhDC228NhoWGXh65d7PO1vulrfbP/gwpVR0S/VpoJio2HgTMPAOeH42sqRNMeJGTMj4+TSPGeDMbLYwt0Hqo79p1maLCYoNhoGzjQMnGMSvXIknXFignmmYYwttt0/vGvhj9e/cOTUhcHRyTTfgzgoNhoGzjQMnGMSvXIknXFignmmYYwstgm/u83/7XB/9/HfbP+nlet/9ZvjfxyY6cHVwgTFRsPAmYaBc0yiV46kM05MMM80jCh7RaqjV/90+nd1a5b9w6b9rWcvXsvog0azERQbDQNnGgbOMYleOZLOODHBPNMwAiweYYyx8Wv+06+/uKH4DqvNYp1btPntftEXRqLYaBg40zBwjh88snIknXHih83IODkzz1lijP2O7TfPve379NTvdj3+47kWq83yV8WP73z9tF/8yzWGvSLhDGejj+w5v7h7j81ifXmfw0TOZpxn0ZxTboGEr4a7dxVot6/dtbxy9/862zck+gaRUcEVGw0DZxoGztHxeDzFRUXpjxMfzDMNY+wV266FRRt2u872fTOe5hvQB8VGw8CZhoFzdGJWjugeJz6YZxrG0FWR547sO/tNmkMbFRQbDQNnGgbO0amprm51udIfJz6YZxpGlFWRUZkY6vr9B0MTab5ltoNio2HgTMPAOWZkn8+X/jjxwTzTMMTFNjbQdfilV7oGwipj4cFz7laXK+Z449DuTSufbr0i+tdtKDYaBs40DJwj8fv9Nos1GAymOU7CYJ5pGOJiGzj+i4W2O/75+NUJxia/7drx/93a/jj6eALFlg1G5hMUzvzAORK3272qtDT9cRIG80zDEBebGh78/I/+wanWCnl331915KNP/ZcHrkxl4LLf2/qrWhRbNhiZT1A48wPnSByNjvq6uvTHSRjMMw1j7HdsoS8/+uzqbTetfXdt8Nrwl71fCr81MoqNhoEzDQPnSFaVlsasHNE3TsJgnmkYY1dF/lvNOwO3v3ajz/Wvz7zy6bDovYZiI2LgTMPAWUsoFLJZrH6/P81xpgvmmYYxpNjCw4N/uXLlSqD9hUcP/fHK7RnoPlh6x/ojfdhSK/OMzCconPmBsxZt5UgoFEpznOmCeaZhjCg29auzjRv/9i5bomUjVpvFavvvla0Dot+yjWKjYeBMw8BZS6vLVWG3pz/OdME80zBGfRQ5Odr/h9qfLChav333rl23Hbudb577SvSlI9grEs5wNvrIhvOKkgfLytaZy9mM8yymc8otkOhFdbz3aP3xgUQ/MkFwxUbDwJmGgbOW4qKi6E39dY8zXTDPNIxoO4+MDX45IP7KEYZio2LgTMPAmTEWDAZtFmsgEEhzHE4wzzSMaMU28e1Zx2asiswOI/MJCmd+4MwY83g8040prDMBI7MzP9N0gHrd/87eqscffWz9rePRlT+ci1WR2WFkPkHhzA+cWaJN/fWNwwnmmYYxsNjUkbP19yRYFflXxU/8tmcYmyBnnpH5BIUzP3BmjFXY7fG3ZusYhxPMMw1jYLGN+g+Vlx/pGQ5Pjpzd/diRzycZYyx8tb1us6vPFKsiZ2Ry9ZcNZ37gTMNk1lm7NTtmU38d4/CDeaZhDCy20IWDlbu7hxljbPz8wbW7P/x2gjHGrp/acufTx6+KXm0oNhoGzjQMnKe7NTvVcfjBPNMwxn4U2bD0kepduw+19w0NvFOzastrp70fnTpoX2hZNlV4AgfFRsPAmYaB83S3Zqc6Dj+YZxrG0MUj4cCp5x6ca/n+g4f+YyL85dubls61WG0W69y/azwXEn1ZJIqNhoEzDQPnmupqR6Mj/XH4wTzTMEYv91dHr/3l6+Gwyhhj4a8+db/V+s4H/m9E30+LodioGDjTMHCe7tbsVMfhB/NMwxhdbAkyMdT1+w+GsCoy84zMJyic+ZHcORAITHdrdkrjzMhIPs9kDHGx3fii6+1Wl4tzvHFo96aVT5viQaNOo/dDS/WQZ883OMM5pWNT1eYFd843l7MZ51lw55Rb4Ob/+ObDXy+Lu3Et/njCFMU2I5PMTFEyMv+XF5z5kdw54VOzdYwzIyP5PJMxxFds6nfn9v/t00c+Oue/fCVhBi77va2/qkWxZYOR+QSFMz+SO68qLXW73emPMyMj+TyTMeTfsU0GPvJc4i0OCQf7Pjr35ShWRWaekfkEhTM/Mju/vM9hS/TU7FTHwTyLwwi3eETte61ilzfxTZIiBcVGw8CZhpHZuWbL9hmHEs3ZjPNsRmd+EnfAxLl9P0z4Hdvf7Oj6djLNt5w+anjA+/Y7vsHbrgnHBnvea2txtZ2+mOSDBVBsNAycaRiZncvK1k2393FK42CexWGMLLZw966Cu5b9LGpr/8fWrSy6e9nP1m95wz+a5ltOm/HeptVzFFuDN/ItnnrtvLO8cM3Ot94/+dozJYu3tQ+EZy43FBsNA2caRmbnpUuWTrf3cUrjYJ7FYYwttn/fffb67a+N9r/5Yv27gawtHRn+D+eaWYoSVWwTQ521C5WVjp4bjDE28lFD4ZwSZ8+Mt4ij2GgYONMw0jprex/zv2BL0gfzLA5j7JZaY6Px10YjXc/dVdk6kI3NR9TR8wdXr9u6ZaX1VrFN+ptWWJVFjp6pO8KDnVsLlfxNJ4Iz3CGOYqNh4EzDSOvs8/ko/79LO8/EjFiLR9TRoctn95fekZVNkNVh797Vm1ou9bassUWKTe1rKlGUvPK2q1PUeP/RtYpSUNUxyB8NxUbDwJmGkdb5cHPzipIHM+KDeRaHEXPxyJb2jD+2Rg1+3PDoU22Xwqw/qtgmr3c8mx/9wSQLD7SUK8qsRY7P+JdsKDYaBs40jLTOFXZ7ZeVTGfHBPIvDGPsd2+6i+x++tXJk/YZNv2p46eCxrr5vM30X28SQp2HFP//+K5Wx24pNq7HoYouvusRBsdEwcKZh5HTWvmB7rvb5jPhgnsVhjC22Q/sTfOSohr/+6usk1iUmH3XovW0lz3dObazML7b4V5iSdJLYLQwHDhw4cIh4pNos3MUj6ui1v0TvqtXXtasuo1tqfd259YdzHtpU36Clek3BLGXWA5V1Dfs6vvy2c/vsBMU2u6Tpc3614oqNhoEzDSOn8+Hm5prqanM50zMyO/MzXbEFTu+zF98R35yZ3QT5z23l8xJdX+Ut2OMLXzq6Ok/Jr+q4edvBaK/zIUW5b8eZb2b4v4RiI2HgTMPI6Vxht7e6XOZypmdkduYnYQdMDLVvnmf5q6JHnqnbtWt35Hhx22NFG7O5CXL0R5GMqZda1s5T7tnr+067QhvsqCpQCnd6R2b4LBTFRsPAmYaR0DkYDNosVr/fbyJnQxiZnflJ2AGj/kOP2EqPfBHbIOGBNw8dv5q9B43eXmxMHfHtXZx3f4P3GmNMDZ7YmF9gb+uf8Ss+FBsNA2caRkJnj8ejjWAiZ0MYmZ35SdgB6njvK6tKDvljd4VUR7/szebu/jHFxhgbGzhZu7j45y8591Ytf2BD07lktotEsdEwcKZhJHR2NDq0LSJN5GwII7MzP9N1wNjAu/vr3+wZuO2RbBdP/XoH+fPY1PCg3+v9pHdwLMm/gGKjYeBMw0jovKq0VNsi0kTOhjAyO/Mz7eKRU3UPFyRYdoknaGeFkfkEhTM/sjlrX7AFAoEM+mCexWEMLLbwgOvJuZaCv/3Fr3ZFLx7ZVfvk/U+h2LLByHyCwpkf2Zw9Hk9xUVFmfTDP4jBGLx5Z8/rl2C+0Jq4eb87m4pHMBMVGw8CZhpHNub6urr6uLrM+mGdxGEMXj/S9vqHst3GrIrO9eCQzQbHRMHCmYWRzLi4qcrvdmfXBPIvDGFls4eFA96Et21y3Lx4Z8J+q+zU+iswGI/MJCmd+pHIOBAI2izUYDGbWB/MsDmNgsY31HVk/N/GeXeZYPOI81GSuw2axGu4AZzEPqZwrK5+69weLzOVsxnk2nXPKLZDwVXXAteF7P3nyhRd3Y/EICSPzf3nBmR+pnGuqqx2Njoz7YJ7FYYy9jy3Y9WLzpzHLRMKDPcf+1wdDWDySeUbmExTO/MjjrD2qxufzZdwH8ywOY2yxJYja91rFLm8ozTfMflBsNAycaRh5nH0+n81iDYVCHEafD+ZZHMbIYpv+Cdo7ur6N3WhLtKDYaBg40zDyOEd20sq4D+ZZHMbIYgt37yq4a9nPbj1B+9HH1q0sunvZz9ZvecM/muZbZjsoNhoGzjSMPM6rSksjC/0z64N5Focxttj+fffZ67e/Ntr/5ov17wZEXzqCYqNi4EzDSOKsLfTXdtLKuA/mWRzG2L0ix0bDcTdij3Q9d1dl68B4mm+Z7aDYaBg40zCSOLvd7lWlpVnywTyLw4i1eEQdHbp8dn/pHct2dw+n+ZbZDoqNhoEzDSOJc4XdHr3QP7M+mGdxGDEXj2xpvyr6h5EoNhoGzjSMDM7xC/0z64N5Focx9ju23UX3P3xr5cj6DZt+1fDSwWNdfd+KvlMkio2KgTMNI4Oz9sjs6IX+mfXBPIvDGFtsh/YL/5HjdEGx0TBwpmFkcHY0OiI7+mfDB/MsDkNcbGp4+OoXFz7p7u7uPnvq+KkL30QvHvn2j8eOeq/GLycRMtgrEs5wNpfzgjvnb6rabC5nEQ55nFNugZv/IzzYfejJe+fY7vi7TYfcn14Zub3EJoZ7frutvmPADN2GKzYaBs40TM47axuORHb0z4YP5lkchvyjyPHzB0vKf3P+2jTdNTF87t+e2v9HbKmVDUbmExTO/OS88+Hm5gq7Pas+mGdxGOqPIr8753iEvxWk+p9HVm8+jlWRWWBkPkHhzE/OO68qLT3c3JxVH8yzOAxxsYWvuGq2nBrkwsPdux7FfWzZYGQ+QeHMT247J9xwJOM+mGdxGOJiG/viyNPPdQ1x4cFTNcsec11O8y2zHRQbDQNnGia3nVtdrvgNRzLug3kWhyEutomh9pql/I8iQ97dP/o7XLFlg5H5BIUzP7ntXGG3T/c5ZAZ9MM/iMNSLR9Sr71R+f/20i0fUaz2/WT/vv29ux4NGs8DIfILCmZ8cdg4Ggwk3HMm4j+TzLBRDf4P2cM/BNXO15f5fBkcj/RYevtJ7xlVXttDy/eX7sCoyK4zMJyic+clhZ7fbXVxUROAj+TwLxRix80g4cOq5B+fe3Bly7r0PPnJ/wc2NIm0LH2/uGRb9co2h2KgYONMwOeyccOPjbPhIPs9CMQZtqRX+6tyxX//TvX91297Hd5VueaXr8qjoz87WgmKjYeBMw+Sq88v7HPzPITPoI/M856ozP4k7QB0Nfnnho1PvvNnqOn7qwwuXh0W/dy06KDYaBs40TK46b6razP8cMoM+Ms9zrjrzM3MHmC7YKxLOcBbfeemSpWVl6wxXzfl5Fu0g3isyd4IrNhoGzjRMTjrPuB4ysz7SzjOxD6UzPyg2IRiZT1A485OTzm63e8Gd88l8pJ1nYh8UWxaDYqNh4EzD5KRzhd1eVraOzEfaeSb2QbFlMSg2GgbONEzuOWufQz5X+zyZj5zzTO+DYstiUGw0DJxpmNxz1u7LNpczvQ+c0wmKTQhG5hMUzvzknrO2P6S5nOl94JxOUGxCMDKfoHDmJ8ecI8+pMZGzIT5wTicoNiEYmU9QOPOTY86Hm5u159SYyNkQHzinExSbEIzMJyic+ckx58jzsk3kbIgPnNMJik0IRuYTFM785JKz3++3WazBYJDYR7Z5NsoHxZbFoNhoGDjTMLnk7Gh0VNjt9D6yzbNRPii2LAZ7RcIZzgI6HzjoXHDn/E1Vmw3Xy+15FvzAXpE6gys2GgbONEzOOHs8HpvFGgqF6H2kmmcDfSid+UGxCcHIfILCmZ+cca6prq6vqzPER6p5NtAHxZbFoNhoGDjTMLnhHL+dv/jOxvrAOZ2g2IRgZD5B4cxPbji3ulwxjxUV39lYHzinEyGKTR2+eLrN1dLy9rs9V+Oe1T022PNeW4ur7fTFYTWp0VBsNAycaZjccI7cvmaIjzzzbKwPii0SNTzQvq14tjKVBWVNPaO3fnjtvLO8cM3Ot94/+dozJYu3tQ+EZy43FBsNA2caJgecfT5f5PY1Q3wkmWfDfVBsNzPe4/z5820Xr6tsYviiq2rhLGXWL08EJxhjjE0MddYuVFY6em4wxtjIRw2Fc0qcPeMzDYlio2HgTMPkgLOj0VFTXW2gjyTzbLgPiu1mRi/1fHHj5h+GvQ33KXlPtF2dYIyxSX/TCquyyNGj1RwLdm4tVPI33ay9aYNio2HgTMOY3TkUCtksVo/HY6CPDPMsgg+KLWGCnVsXLdz23pDKGGNqX1OJouSVt12d+ul4/9G1ilJQ1THIHwXFRsPAmYYxu7P29LXI7WuG+MgwzyL4oNjio4YvtdhXN/qGtQuyyesdz+Yriq3Be3M5SXigpVxRZi1yfMa/ZEOx0TBwpmHM7hy/bITeR4Z5FsEHxXZb1MGPD9eWLcxTFGXe8udPDoTVmzUWXWzxVZc4KDYaBs40jKmdo3c9NtAn5+dZEB8UW2zU4S/PvrWnfGG+osxb23JJTVBs8a8wJbnYLFYcOHDgwGHSI9VCEaXYGGOMqeO9zpI8ZVbliSBTb3Run52g2GaXNH3OX/KPKzYaBs40jHmdtd1G4peN0Pvk9jyL44Mrtmmift5UMltbMKJeOro6T8mv6rg+9bPRXudDrok10wAAIABJREFUinLfjjPf8MdAsdEwcKZhzOscv9uIUT65Pc/i+KDYpon6eVPJ/NVH+1TGmHqpZe085Z69vu+0K7TBjqoCpXCnd2SGe7RRbDQMnGkY8zqvKi1tdblE8MnteRbHB8U2FXW4913XO6f7rquMMTZx/ePdS0r231wYqY749i7Ou7/Be40xpgZPbMwvsLf1z7j1CIqNhoEzDWNSZ+0hNQmXjdD75PA8C+WDYtOifnf+wJI8RVHm3PfTR8v/ccVDz7zeMxy9mH9s4GTt4uKfv+TcW7X8gQ1N55LZLhLFRsPAmYYxqXNNdbWj0SGITw7Ps1A+KLZI1PCg3+v1er2f9Q8nvD9NAz7pHRxLckQUGw0DZxrGpM42i9Xv9wvik8PzLJQPii2LQbHRMHCmYUzqXGG3i+OTw/MslA+KLYtBsdEwcKZhTOfMX+VP75MkY7p5ZnI784NiE4KR+QSFMz+mc251uUznzEw4z0xuZ35QbEIwMp+gcObHXM6hUKi4qMhczlrgTMOg2HQGxUbDwJmGMZezx+NBsZExMjvzk5vF5jzUZK7DZrEa7gBnMQ9zOd/7g0VlZevM5WzGeZbNOeUWyEa1GBtcsdEwcKZhTOQcuSnbRM6RwJmGwRWbzqDYaBg40zAmcq6w27Wbsk3kHAmcaRgUm86g2GgYONMwZnHWHr0WCASYeZyjA2caBsWmMyg2GgbONIxZnGuqq2uqq7X/bRbn6MCZhkGx6QyKjYaBMw1jCmftci2yh5YpnGMCZxoGxaYzKDYaBs40jCmcoy/XmEmcYwJnGgbFpjMoNhoGzjSM+M4xl2vMDM7xgTMNg2LTGRQbDQNnGkZ855jLNWYG5/jAmYZBsekMio2GgTMNI7izdtdazBNqBHdOGDjTMCg2nUGx0TBwpmEEd66vq4u5XGPCOycMnGkYFJvOoNhoGDjTMCI7x3+7pkVk5+kCZxoGxaYz2CsSznCmOVaUPLii5EFzOZtxnuGccgtko1qMDa7YaBg40zDCOk93ucYEduYEzjQMrth0BsVGw8CZhhHWOX4xZCTCOnMCZxoGxaYzKDYaBs40jJjOnMs1JqozP3CmYVBsOoNio2HgTMOI6cy5XGOiOvMDZxoGxaYzKDYaBs40jIDOPp8vspF/wgjoPCMDZxoGxaYzKDYaBs40jIDOq0pLteeuTRcBnWdk4EzDoNh0BsVGw8CZhhHNuWbLdpvFGgwGOYxozmacZzinExSbEIzMJyic+RHKORQKLbhz/uHmZj4mlHOSDJxpGBSbzqDYaBg40zBCObe6XAvunB8KhfiYUM5JMnCmYVBsOoNio2HgTMOI4xwMBouLiiorn5pxHHGck2fgTMOg2HQGxUbDwJmGEcfZ0ehYVVpqLufkGTjTMCg2ncFekXCGc8aPF+oabBbrc7XPm8jZjPMM54RHyi2QjWoxNrhio2HgTMMI4hy5I9tEzikxcKZhcMWmMyg2GgbONIwIzh6PJ3JHtlmcU2XgTMOg2HQGxUbDwJmGMdw5FAoVFxVF7sg2hbMOBs40DIpNZ1BsNAycaRjDnVtdruKiosgSf1M462DgTMOg2HQGxUbDwJmGMdY5GAzaLFa3253SOJhnGkZmZ35QbEIwMp+gcObHWOea6uoKuz3VcTDPNIzMzvyg2IRgZD5B4cyPgc7Ra0ZSGgfzTMPI7MwPik0IRuYTFM78GOWsrRmJ3xZSZOd0GDjTMCg2nUGx0TBwpmGMcj7c3By9ZiSlcTDPNIzMzvyg2IRgZD5B4cyPIc5+v99msfp8Pn3jYJ5pGJmd+UGxCcHIfILCmR9DnCvsdm2fEX3jYJ5pGJmd+cnNYnMavR9aqoc8e77BWXznysqnFtw5/+V9DhM5m3Ge4Zz8kXILZKNajA2u2GgYONMwxM6BQCDmxjUd42CeaRiZnflBsQnByHyCwpkfYmfOh5DJj4N5pmFkduYHxSYEI/MJCmd+KJ0rK5+Kv3FNxziYZxpGZmd+UGxCMDKfoHDmh8xZ+xCy1eVK/70wzzSMzM78CFFs6vDF022ulpa33+25Go794dhgz3ttLa620xeH1aRGQ7HRMHCmYcicK+z2pUuWZuS9MM80jMzO/BhebBPD518pm5OnTGV28bb2gfDNBlOvnXeWF67Z+db7J197pmRx9I+mD4qNhoEzDUPj3Opy2SzWF3fvych7YZ5pGJmd+TG62EY+aljy6J4T5wfDY4PnW7YWz1aUOQ8fvTjJGGMTQ521C5WVjp4bU2ThnBJnz/hMQ6LYaBg40zAEzpGVkCZyzjgDZxpGhmJTx7yNVW2ByAXaeM+BxYqSV952lTE26W9aYVUWOXomtJ8GO7cWKvmbTgQn+IOi2GgYONMw2XYOhUKRlZBmcc4GA2caRoZii0vY22BTZlWeCDKm9jWVREqOMcbG+4+uVZSCqo5B/hgoNhoGzjRMtp21PSGDwWCa40QH80zDyOzMj1jFpg60lOV9f0NbQGWT1zuezVcUW4P35nKS8EBLuaLMWuT4jH/JhmKjYeBMw2TVWdsT0uPxpDlOTDDPNIzMzvwIVWzjf26x5y//n+dH1Zs1Fl1s8VWXOCg2GgbONEz2nLUH09TX1aU5TnwwzzSMzM78CFRs6nXP84vWOv9jmDGWqNjiX2FKcrFZrDhw4MCBw6RHqm0iTLGpV97/l19sP3n5ZmmpNzq3z05QbLNLmj7nL/nHFRsNA2caJkvObrfbpuvp2JhncRiZnfkRo9jUa+edv7Q39YxGv3bp6Oo8Jb+q4/rUC6O9zocU5b4dZ77hD4Zio2HgTMNkw3m6TUZEds42A2caRppi01rNeS6ysYg6fPHcFzeYeqll7Tzlnr2+77QfDHZUFSiFO70jM9yjjWKjYeBMw2TcORQKrSotTbjTsbDOBAycaRg5ik29dt752Lziqn871qLlWNPujQ+sdfaOMqaO+PYuzru/wXuNMaYGT2zML7C39c+49QiKjYaBMw2Tcef6urrioqJQKJTmOJxgnmkYmZ35MbbYhnubyufEL/ZY4uyd1ICxgZO1i4t//pJzb9XyBzY0nUtmu0gUGw0DZxoms87aV2t+vz/NcfjBPNMwMjvzY/QV28xRw4N+r/eT3sGxJP8Cio2GgTMNk0HnGffvF9CZjIEzDYNi0xkUGw0DZxomU84HDjpj7lrTNw7mWRxGZmd+UGxCMDKfoHDmJ1POK0oeXFVamvCrtZTGwTyLw8jszA+KTQhG5hMUzvxkxPlwc/OCO+fzH42dpA/mWRxGZmd+UGxCMDKfoHDmJ31nj8djs1hrtmzPiA/mWRxGZmd+UGxCMDKfoHDmJ03nQCBQXFR0uLnZRM6GMHCmYVBsOqMoivNQk7kOm8VquAOcxTzScT5w0LngzvkrSh40kbMZ5xnO2XZOuQWyUS3GBldsNAycaZh0nCvs9gq7XVswYhZnoxg40zC4YtMZFBsNA2caRrezo9FRXFQUWTBiCmcDGTjTMCg2nUGx0TBwpmH0Obe6XDE7jIjvbCwDZxoGxaYzKDYaBs40jA5nbRlk5LnYmfXBPIvDyOzMD4pNCEbmExTO/KTqrC2DdDQ6suSDeRaHkdmZHxSbEIzMJyic+UnJWWu1hPtmCessCANnGgbFpjMoNhoGzjRM8s6hUCh6GWSWfDDP4jAyO/ODYhOCkfkEhTM/STprrcbZDVJAZ6EYONMwKDadQbHRMHCmYZJ01h4fytkNUkBnoRg40zAoNp1BsdEwcKZhknEuK1vHb7UM+sg8z3BOn0Gx6QyKjYaBMw0zo7Oj0WGzWH0+H42PtPNM7APndJKbxeY0ej+0VA959nyDc2adN1Vt1nbuN9wzt+dZzEMe55RbIBvVYmxwxUbDwJmG4ThHbsQ2kbMhPnAWh8EVm86g2GgYONMw0zlHby9iFmejfOAsDoNi0xkUGw0DZxomobPWapHtRUzhbKAPnMVhUGw6g2KjYeBMw8Q7x7QasY8882ysD5zTCYpNCEbmExTO/MQ4x7casY8k82y4D5zTCYpNCEbmExTO/EQ7J2w1Yh8Z5lkEHzinExSbEIzMJyic+Yk4T9dqxD45P8+C+MA5naDYhGBkPkHhzI/mzGk1Yp/cnmdxfOCcTlBsQjAyn6Bw5kdb089pNWKfHJ5noXzgnE5QbEIwMp+gcObHZrHyW43YJ4fnWSgfOKcTFJsQjMwnKJw5mfFajdgnScZ088zgTMWg2HQGe0XCOTeca7Zs1y7XDDfJ7XmGs/jOKbdANqrF2OCKjYaBc1YZbc9+7YpNBJ+UGDjTMDI784NiE4KR+QSFc3wircbM4xwdONMwMjvzg2ITgpH5BIVzdEKhkKPRUVxUpLUaM4NzfOBMw8jszA+KTQhG5hMUzpGEQqEKuz3mWdiCOycMnGkYmZ35QbEJwch8gsJZSzAYjG81JrbzdIEzDSOzMz8oNiEYmU9QODPGAoFAcVFRhd0eCoViGGGdOYEzDSOzMz8oNiEYmU9QOPt8vulajYnqzA+caRiZnflBsQnByHyCSu484y3YAjrPyMCZhpHZmR8UmxCMzCeozM5lZetsFmury8VhRHM24zzDWRwGxaYzKDYaBs7pMKFQqKa6esGd8yPL+qeLOM7JM3CmYWR25gfFJgQj8wkqoXMgENAWQL64e8+M4wjinBIDZxpGZmd+crPYnEbvh5bqIc+eb3B+oa5hwZ3zly5ZeuCg0yzOZpxnOIt5YK9IncEVGw0DZx2M2+3WlopoCyBN4ayDgTMNI7MzPyg2IRiZT1BJnLW9smwWq9vtTmkczDMNA2caBsWmMyg2GgbOyTORL9X8fn+q42CeaRg40zAoNp1BsdEwcE6Sidx/HQwGdYyDeaZh4EzDyFZsE8N9H57puxH3+thgz3ttLa620xeH1aQGQrHRMHBOhjnc3Bz9pZqOcTDPNAycaRh5im3sqq9178blNsW2pqX/tp+o1847ywvX7Hzr/ZOvPVOyeFv7QHjmckOx0TBw5ufAQaf28SPnTjXRnM04z3AWxwfFFhV1sKfrs89//+zs2GKbGOqsXaisdPTcYIyxkY8aCueUOHvGZxoPxUbDwJkTv9+/4M75FXZ7zFb9Ot4L80zDwJmGkabYGGOMhb0NsVdsk/6mFVZlkaNnQvtzsHNroZK/6URwgj8Uio2GgfN00T5+LCtbl/Djx1TfC/NMw8CZhpG92NS+phJFyStvuzr1wnj/0bWKUlDVMcgfCsVGw8A5PpFnqnk8HrM4Z4OBMw0jszM/whbb5PWOZ/MVxdbgDd9EBlrKFWXWIsdn/Es2FBsNA+eYeDwebfWj9vGjKZyzxMCZhpHZmR9hi02rsehii6+6xEGx0TBwjiQUCtXX1dks1sPNzemMkzCYZxoGzjQMii2m2OJfYUpysVmsOHDgwIHDpEeqhSJssak3OrfPTlBss0uaPucv+ccVGw0D51AopK0Tqa+ri18nIqYzDQNnGkZmZ36ELTamXjq6Ok/Jr+q4PvXCaK/zIUW5b8eZb/hDodhoGMmdI7tkTXebmoDOZAycaRiZnfkRt9iYeqll7Tzlnr2+77QrtMGOqgKlcKd3ZIZ7tFFsNIzMzpWVT9ks1prq6vhdslIaB/MsDgNnGkbCYstf4vzT5K3X1BHf3sV59zd4rzHG1OCJjfkF9rb+GbceQbHRMHI6axdqC+6cH71Jv24fzLM4DJxpGHmK7UZfp+vVrStmKcqs5VtfbTndNxopr7GBk7WLi3/+knNv1fIHNjSdS2a7SBQbDSObcygUanW5tAu1l/c5MuKDeRaHgTMNI0+x8aOGB/1e7ye9g2NJ/gUUGw0jlbPf719VWlpcVKRdqJnC2UAGzjSMzM78iF9sKQfFRsNI4hxZ+hj9jZrgzoYzcKZhZHbmB8UmBCPzCSqys/YoteKiIp/Plw0fzLM4DJxpGBSbzqDYaJjcdg4GgzXV1TaL9XBzc/buUcM8i8PAmYZBsekMio2GyVXnAwed2iKRCrvd7/dn1UfmeYZz+ozMzvyg2IRgZD5BhXL2+Xz3/mBRcVFRq8tF4CPtPBP7wFkcBsWmM4qiOA81meuwWayGO0ju/PI+x4qSB20W66pVD7+8z2G4aq7Os7AHnEV2TrkFslEtxgZXbDRMzjhHblBbVVrq9/tN4WygD5zFYWR25gfFJgQj8wlqrLP2ELXIDWrEPvLMs7E+cBaHQbHpDIqNhjG7s9/vr7DbbRaro9ERve5RZGcRfOAsDiOzMz8oNiEYmU9QeudgMKg9F7Smulp72rVRPrk9z+L4wFkcBsWmMyg2Gsakzo5GR+TrNMN9cniehfKBszgMik1nUGw0jLmco1eITPcENUqf5BlzzbMWONMwMjvzg2ITgpH5BCVg3G63tkLEZrHGbyNC75MSY6J5jgTONIzMzvyg2IRgZD5Bs8p4PJ5VpaU2i7XV5QqFQqZwjgmcaRg40zAoNp1BsdEwgjtHKs3R6Ijsyi+4c8LAmYaBMw2DYtMZFBsNI6xzwkrTIqwzJ3CmYeBMw6DYdAbFRsMI6MypNC0COs/IwJmGgTMNg2LTGewVKaFzzZbt9/5gkc1iLStbx9npUShnM84znIU65HFOuQWyUS3GBldsNIwgzpGrtLKydQmv0qIjiHNKDJxpGDjTMLhi0xkUGw1jrLN2X1r0B4/iO+tj4EzDwJmGQbHpDIqNhjHKWas07b60w83Nkas0kZ3TYeBMw8CZhkGx6QyKjYahdw4Gg9qGWNqDQGNutRbTOX0GzjQMnGkYFJvOoNhoGErnF+oatG2LORtiieZsxnmGszg+cE4nKDYhGJlPUD7j8Xi0h8vUVFf7fL403wvzTMPAmYaR2ZkfFJsQjMwnaEImGAxqX6Rpa0Ne3L0nI++FeaZh4EzDyOzMD4pNCEbmEzSG8fv90V+kaWtDBHfOKgNnGgbONAyKTWdQbDRMZp1DoVDkU8cKuz3mizQxnWkYONMwcKZhUGw6g2KjYTLl/OLuPY5GR+RTx/hHWic5DuZZHAbONIzMzvzkZrE5jd42JtVDnq1xIseBg86aLduXLllqs1jv/cGiTVWbDxx0Cu5sxnmGM5yFOrClls7gio2G0e0cCASiL9FeqGvIiA/mWRwGzjSMzM78oNiEYGQ4QUOhkNvt1jbBWlVa6na7tTusRXYWgYEzDQNnGgbFpjMoNhomeWefz6fdXl1cVBT/LZqYzuIwcKZh4EzDoNh0BsVGw8zoHAgEysrWaR851tfVpbNjCOZZHB84i8PI7MwPik0IJpdOUO3eau0jx3t/sMjtdvOfJiOCs1E+cBaHgTMNg2LTGRQbDRPjHAwG3W63diPaqtLSw83NgUBAcGfDfeAsDgNnGgbFpjMoNhpGc46+sVr7Ci16R0cxncXxgbM4DJxpGBSbzqDYCJhQKKR9c5awz+h9kmRMN88MzlQMnGkYFJvOoNiyx2ifN9ZUV9ssVu0utPR33Mc88wNnGgbONAyKTWdQbBlnor8/i1yfCe6cMHCmYeBMw8jszA+KTQhGzBM0EAgcbm7W1jfGf94opjM/cKZh4EzDyOzMT24Wm9Po/dBSPcTZ8+3AQedztc+Xla1bcOd8bb3+hg0VL+7eI7KzGecZzqIdcBbZOeUWyEa1GBtcselgtA8btcUgNot16ZKlM95/ZrizDgbONAycaRiZnflBsQnBGHWC+ny+mA8bPR5PKBQS2TkdBs40DJxpGJmd+UGxCcFQnqAv7t4TvbKxwm5vdbl07N8o8z9UcOYHzjSMzM78oNiEYLJ9ggaDQY/H42h0xF+c6X4vmf+hgjM/cKZhZHbmB8UmBJONEzQUCkV/0qjdT+12u1/cvScj7yXzP1Rw5gfONIzMzvyIX2xjgxc6j7vePN7VN6wm9RdkLrYDB51amWn3nNks1prq6laXy+/3pzQO/qESh4EzDQNnGgbFxph6reeVJ368/qW3T7/7+pbS5c+dHAjPXG6yFVswGIwpswq7/XBz83R7gojgbBQDZxoGzjSMzM78iFxsE0NdLxRbVh+8MMIYYyHv7h/9j7Ij/vGZ/poMxRYIBKK/M4tcmb1Q1zDd12aGO4vAwJmGgTMNI6Hz5cuXN23a1NXVxR9B4GKb/PzIT+fblh/yT2p/Hur61Y9s36tuD07w/16uFtsLdQ2tLld9XZ326M7ioqLsfcyIf6jEYeBMw8CZhknfuaurq6SkpKSkhFNv4hab2ndklcU67+n2oakXxi+/Xm6z/HDLqUH+X8yZYtMuy6I/Y1xVWupodLjd7pjV+eI4G+gDZ3EYONMwMjvz603YYpu8fmrbX1usBbu6w1OvhK+4nrBZ5iw92MO/ZDNvsWnflrW6XDXV1dplWeQzRp/Pd+CgU0BncXzgLA4DZxpGZmct09WbsMWm1Vh8sUW/whhjSk7EZrHe8d8sWpP9t//n/83/r//1//4//6//kve/Ge3Fi81iNVoh5cCZJnCmCZyjU1JSEtkF0PTFFh8liSs20fJ//Jf/3e12R39bJn7MOM9wpgmcaQJnxlgoFGppaVm4cOGmTZvELzZ1pKt2foJim/9Pr3/JX/KPXzZN4EwTONMEzjTJoHN0pfX29t72Lpl6j4xH7X+97A7rX9ecuj71QujCwVKb5e92d3/L/4uS/7LJAmeawJkmcKZJRpw5lTb1Lum/R7aiXmotX2j78f5Pv9Ou0L5qf/oe249e6g7NcI+2tL9s4sCZJnCmCZxpkqbzjJU29S7pvEeWo4bONS6/Y8Xu7uuMMTXYXvW9H2585/KMW49I+Ms2JHCmCZxpAmeapOl8+fLl559/nlNpU++SzntkP2MD776w/Ccb9x3av+WhlZVHPktmu0gJf9mGBM40gTNN4EwTGmfx50UND37+x26ff3Asyb+AXzZN4EwTONMEzjRBsSEIgiBIykGxIQiCIDkVFBuCIAiSU0GxIQiCIDkVFBuCIAiSU0GxIQiCIDmVHCu2scELncddbx7v6kvmjjfjMjHc9+GZvhtxr48N9rzX1uJqO31RKH91+OLpNldLy9vv9lyN24EazhmPGh7wvv2Ob/A2N2GdJ4b7P/Pein8wHPET1nkq6vAlb8fbLS1/8A1GzhERndXh/nPemHzSe+sOKBGdGWMsfLXn3bdbWlpcJz66NBzztLHsOudQsanXel554sfrX3r79Luvbyld/tzJgbBQv2QtY1d9rXs3LrcptjUt/bf9RL123lleuGbnW++ffO2ZksXb2sXwnxg+/0rZnLybj4aYXRwtJqizGh5o31Y8+6bzgrKmntFbPxTTOSrjvU2r5yi2Bm/kX7YiO6t9R1fbIo8OmbW25c+amsjOjLHwX7xNvywuXFf/2rs9kYYQ1PlGj2Nl3ENaCqo6BhkT1lkND5x8vuShZ1479bH34zO/37OmsNx5/tqUWfadc6bYJoa6Xii2rD54YYQxxkLe3T/6H2VH/ONGa8VGHezp+uzz3z87O7bYJoY6axcqKx09NxhjbOSjhsI5Jc4e4/1HPmpY8uieE+cHw2OD51u2Fs9WlDkPH704yZi4zuM9zp8/33bxusomhi+6qhbOUmb98kRQ+w9GUZ1vZfg/nGtmKUpUsYnsrI54d6+o3H+sRctbnVOfQ4jszFj48slty2YV154ciN72QVTnkY8aFq+scvx2ao5bjv12x09n5T/bcX1SXGf2defWRflVHTe3sL92ZseivBVNFycZjXOuFNvk50d+Ot+2/JB/UvvzUNevfmT7XnV7kP+0bWMS9jbEXrFN+ptWWJVFjptPBw92bi1U8jedMNhfHfM2VrUFIhdo4z0HFitKXnnbVSasM2Ojl3q+iHzMO+xtuE/Je6Lt6gRjAjtPRR09f3D1uq1bVlpvFZvIzuqllkd/2fLnuH8pCe185f3ty/LmVLZcGr3tdUGd1ZGzr+7/OBh1RTPs2/PAVGcI6szY5J+cS/JnbWj7asr7hm/P/cqCPb4JIuccKTa178gqi3Xe0+1DUy+MX3693Gb54ZZTg4Z6JU58sal9TSWRwmCMsfH+o2tvfdogTsLeBpsyq/JE0DTOwc6tixZue29IZUx4Z3XYu3f1ppZLvS1rbJFiE9hZHfHuLFQUJe+eNbWvvtt3PfIvX4GdJ4IdW+Yp1vhLBIGdb893n+y5p1CzEtj5686tixTlvmdO9IcZY6N/3FM8b7nj3CiVc24U2+T1U9v+OsFTSecsPdhj9H+6JEhcsU1e73g2P/rDJxYeaClXlFmLHJ8J5a8OtJTlfX9DW0A1h7MavtRiX93om/riWmxnNfhxw6NPtV0Ks/6oYhPZ+Ubv0eqyf3ygQPsGNm/ZtpOXw4wJ7ax9I5j39/XHfufYVllWtnHHq6f6hieEdr4t6ne+vfdMfQ4psnPke+4FZQ7Xsa2PlO09PRBWyZxzo9i0GosvtuhXBEpcsWm/2uhfdvyvX4SM/7nFnr/8f54fVf//9u7/t4nzjgP45w+4X/xjfrCGalnKJKYIWfkBFFXxtER00eJoVRaFIi+pVjnRJjmM4ZSuhkrEVGBUcASYVZxarLQ1lJM3DMWwGBpTEVrMcJpk7AgYkg5TnCaNd0nj+Jzn2Q/n77EdvphwvX5ev+Vi332eJ8m9fc8990T+NZPp6wN7OmoZAKhutkkzieRcc3L2qr3lz+cfEUrzgk3ONaeR2F2fvU3LANPiCMXkXDOJcB0MgMZgYT8bDl71Obt1wGi7uElRvjXnyxmHlHE/U0pz53AxzUfSHy7XqGYMthfgMYJt5ZYXj8Su2uo62f8IlNIfRc1EuH/tjMNUWwVQ3clNEhnXTGY/32WwBWalP/7ywSaXmvMlhdCRZgaqLP6YjGsWg3YNQHZSA3no69kAUGcNfCvbmvPkjEPK/ncjHhnsM3Ts2meqY4DRdnw4JiTXrGZlBBtZ+GJPTZFgq/n9qftymPpaYEWwkfnAbnWRH7ba4JqQS/3k4dA7f9qdGmuiP46aKaWUJHjWwEj3BWVb83dwrDn7AAAMK0lEQVQB68va1h377ZK3jDoVqJrM++yH/ff/J9OaV5BCwuAKE9n2cyrYcgpLzvi2q0BV5/w6Jteac+SOQ1J5/w2K0SGbfv3b/pmkNAeVAUbbfSayVr8bygg2SqZOdby07hd/vZyeXfrDv9//neZnvzl4438vtK7iikwemXS3MzkfJOkiz7YC1PcNf/9iSixA5sbY7d25T4PJv+YMMuEyqKWb1XKt+YHXVL3iQSUAYDY4QqJMa14pHna9Ju9+pss82wigtgYys2bFoF0DVY3sraRca86ROw5JqYz7mSZHnXWqbD+Lk96ejQCtLL+4NjUrJNgomfy7qVbzqyNfL0mp/+jiXzZpfnnoxg8v+oNLMUWm+5NJrrMaNvWHUvVP+y062HgguCCD+qVUY0cyCwQQ4e7IvXlZ15yLTLgMNe3uMKHy7ues3KHIH0vN0hXbK93eKVn389JNxyYVNLJ86rkgEh+2rYPN9uCcfGvOyBuHpJTKuJ+lc1z2skzqZ4NzfGFtalZKsFHyw8jR5pdaDt6IUUrJzEXLz1/uOffNi/7xFpf5kLic3UYWQv0NzGZ7cI5SSmZ8PVW61DnixSJzY+wb1XrL8fQjuKddB3uaOll+UbY1E4G/5Dl3JTX7PBm7frDRkLl3LdOa8+UHm1xrJsLoSds+9tIdgVDphkrLNu+D1BISMq2ZUjHq31ULjbZh6cmwuaD9FW0XNykSGdcsKRiHTG2Ua80zw30NoO8PLUq1JGd8O9QGlk+sUT8rJtgopfHIpXebf91z+IMjb7f+1vzRqLyWTUuZDwc8J6wtKgBVs/UEdyW8mF1YLzK4p0H/x0Nsv6W5qcs1IoP6Bd5l0q4cIct+4JVhzWRp7FgjAwDa+rY/mLa2tPaeGs9bp06GNRcoCDYqz5pJ9PJuac6brvGVWr3J+UX+wkhyrJlSSsncuHuHfmPXoU9Ou49ub+seGMv+esi1ZkqlIbvcccg0mdZMhBFXl35jx7snTp92H99lbN/vz67z8txrVlKwUUqJOD3xrxuh29Px1V8rR0Scvp2/vKn8ybBmqaRgMDg6Vbj0au4LZFXzqmRZszjNFy58nEuWNVNK08sKj0ytPKPKtub5cOCzQJGV06mMa079Ja59Pyss2BBCCP3UYbAhhBBSFAw2hBBCioLBhhBCSFEw2BBCCCkKBhtCCCFFwWBDCCGkKBhsCCGEFAWDDSGEkKJgsCGEEFIUDDaEEEKKgsGGEEJIUTDYEEIIKQoGG0IIIUXBYEMIIaQoGGwIIYQUBYMNIYSQomCwIYQQUhQMNqQw8Wn+ZjDHyJRA0v+ivmBrKSQ6dKDLfCDwsPRLKKWUio9CZ/9m7ToUmE1WuBGUiNGbnv6dJmOHqffYhbsxktle0JAC/LRY6VJyJIXw5Y+84wsV2FVs5CTr5edW6WGEngoGG1KY+DT/5SDbUwsAjGHX6aFQKtj4a4PHzbUqALW+9yNpaylJnt3MqDezt8rl1fI933s7jToVgImLVDhNyOwVW8Nr/aHZROR8b60Kqt8JxJYppZSKEc4EjK5pq9FoNG5t0jGQ+erVeg0DRi5S2VKy4hH/gW7bPyNihcJI/GZw9x/f5G6V+UEg9HQw2JASRTgjAGjswbzEeeA1VQPU24NChQ4jBO31ZYNtfuzYwbPRJ72ei991bWVSxSeF8X/0fzAcTZ39xQi3s9f/SPpKDNo12VYS8YG3p9vzfIItGbt+sNHwt7HFiqbQ4hjb3rp7aLUrY4SeEAYbUqLiwSbl0JoFGxEnuS5t15Nfz01xRs2K4iWL/MkTmZHP/GCjlEYDA5cizyMlFm44Gjb1+CqeQGRheO/66l7fo+c5gIp+ejDYkBI9drAR4f413ynWyZ68MBLNDLKRWDjg8Y58n/Oyu1fODDgPOAfOfzUpJPN3aOIicSH8BceyA34+PbCWFO56rXo1wG/tvmvFb+mJ0fFLHNt/zHXm8/HpuHQccfp2MHjO3qQGtdl1bZV7gSuCjaZ3MnZh4EwoNstfGGBPfiUNHhZvaZlOyEo84LpVqu2+mfxLT/FR6MIptv9YTp+kDy0kxUjQwx5xpo6eTPWPb8X+49ftNVUb7V9V4r4dQikYbEiJHivYyCJ/epvRctx3Zej03jatStvx4ZiwNDvc36arAtAYuSnpZWLk4i79ZouHFwTeY6kHSZ1zPCntsG3/cWuz/tWtTToGtO0uPkEpJdHQuY/txvUAjRb2U+5caDo/SsTIoM3Qajlxcfj65U96NzPaN9ixOUKXhdCndvtbRp0KVE3mfXb7Yf/UcslWFgk28l//7hYNAEDTDqtRCwCw2RESirU0WboT8gNs+RbbWAWNLJ+thIiRi7sMHbbTl69f/dhSq2L0+6/OTPptW3QMALTtZ/e0NbUaW+s1wFT3ekf/2ZfuH3WD40Z+hk1xRg2s3zu8gOORqGIw2JASScEmZUNWn7lJkw22xDhraLEH5yillMbDrtcANO3uMEkFRibYvgtY62CdbThOKKXLPNsIqk2Om0uUZpLS4uEFQunSTccmVU4AlB6oJFPebl1Vj29GOpknxlnDOtBu80YSlNKyQ5F5SlyxzQ331QFo2138ksBfOheMLJRsaZlOyCnW3QZQZfHHMpsS46yhusE5mqCU0oVxpwGgxuz7Nn3odIeQ/3q71ud8Ocl1aDM9mSb1ksFZkbmWCFFKMdiQMknBJo3mZQVcZl0m2JLjzjrQ1rduNRqNRuPW1notAKitgfnUqTwdbMmQYwOTTY/5gFUN6cmHBdFVEEglg22ZZxthXZv7XvoEL0a4LgbUBtcEKbKfkkoEW+Fxy7S0zLdKH4XEg/aanBFdIty/FghOCskVhy7/pWSRZ1sBqk3eB6u0FqHHhsGGlGj1oUgxwplKzvuIcMaCKzaV2StNcJjxmVUFV2xPGmzSoTP7p7QwPCobbGVaWrYTSh5FelfROThPEWxFegOhZ4TBhpTocYOtvm/4+5wXLM19v0BoQbBJ99iq9dZTV4NXP7NvWZ+9C/UswVbVyN7K3LQSg3YNMBscoWSR/ZT0JMFWtKVlO6HkUaR3SWOPaUR4+FAgTxNsiSl3JwYbqiwMNqRExYMtdQcoZyiS0XZxk6l5ekSc/HR7/80lWhBslAgj7La+TwbPe7i/+67dz5mm+CxDkcC0uyczY5FBuwbqrIHviu2npCcZiize0nKdkEbCLkP+PbbkuLMOQNVxMvOuBO/aMXB7+WmCTdq42RHKHf5E6JlgsCElKh5sU5wxZ/LI8j3u9Q0AVbUd77rODw5yRy2GP7nuLND0DJE652iSUmkoUtXa97HHF7gu3au7PZ06oT9OsLWz/Gzk0pkr0ZxSyAPfto0AjbZhafpILOQwqNoH7iQIpZSSCZdB/RjBJl05lQq2TvdUIrWhdEvLfStDmhRjcGWnlCR4V7sWQK23fDg4fC3gPWo2vO17JD7VUOS3PnMNVO30x0rP/kToCWGwIYWZDwc8J6wtKgBg9F2HXGdDUULJYvgKd2JPm5YBUOk69rnOhqYJESNX+o0bUtP3Na/a/N+IlCyGh6S3q5qtJ4bCi1TgXSYt5NO8ujcwccd/zFyvBqhp6xsYGhsJuPcbtQzAy+Zjl8OLhFKyEOpvYABgQwc7UvA4GhFG3T0NjKbZvP/QIWtHQ/vBoUicUkqmQ56jPfUMAGwyOT7yBMKLRVu5GA5wH/S11QAA6Locbl9IWiSSREOew+Z6NYC63nzYE5JWLCna0lQhpb+VscCzW5i87CFiZNDWXJ16V+pZhfnwEGvRqwG0rX0fB+6EQ2fft+jT/XMnHPIcMulUABuMdk8os6RlctRZV1VtHYoVHhShp4fBhn7ipEWTR6eEUgtfCbzrzTe94dmpUel67Xrg/ElHl+6xVmUk4vRE6Wesk4K0z+e7cnFGmZau0glkZrC3+uX0SGlmqzA1knv9+hRIYvxYg6qz8BoRoWeDwYZQGWQh1N+wbndgPu/JLpH/YMtP6yJDjA7ZGrekB0srhUQDu1o73bcTq78UoSeAwYZQGUuT7tcZqG6yHOX8V4PBYDD4ZcB7tKfj3cFI/EXXtrbI3Jhre2d/sHKL8ccjPtvr/V/FcMkRVGkYbAiVReZ473td+tRdNkbXYraf5UuOWypbPBp0v+cercj/Yxs/6XD6JvB/1qDn4f/aT1F/8nM+tQAAAABJRU5ErkJggg==" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the median height of the trees.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the 75<sup>th</sup> percentile.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the interquartile range.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Estimate the number of trees that are more than 40 cm in height.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">A sample of <span class="s1">120 </span>oranges was tested for Vitamin C content. The cumulative frequency curve below represents the Vitamin C content, in milligrams, of these oranges.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2017-03-06_om_09.11.24.png" alt="N16/5/MATSD/SP1/ENG/TZ0/02"></p>
</div>
<div class="specification">
<p class="p1">The minimum level of Vitamin C content of an orange in the sample was <span class="s1">30.1 </span>milligrams. The maximum level of Vitamin C content of an orange in the sample was <span class="s1">35.0 </span>milligrams.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Giving your answer to one decimal place, write down the value of</p>
<p class="p1">(i) <span class="Apple-converted-space"> </span>the median level of Vitamin C content of the oranges in the sample;</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>the lower quartile;</p>
<p class="p2">(iii) <span class="Apple-converted-space"> </span>the upper quartile.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Draw a box-and-whisker diagram on the grid below to represent the Vitamin C content, <span class="s1">in milligrams, for this sample.</span></p>
<p class="p1"><span class="s1"><img src="images/Schermafbeelding_2017-03-06_om_12.47.06.png" alt="N16/5/MATSD/SP1/ENG/TZ0/02.b"></span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: 'times new roman', times;">The length, in cm, of six baseball bats was measured. The lengths are given below.</span></p>
<p style="text-align: center;"><span style="font-size: medium; font-family: 'times new roman', times;">104.5, 105.1, 104.8, 105.2, 104.9, 104.9</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the <strong>exact value</strong> of the mean length.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write your answer to part (a) in the form <em>a</em> × 10<sup><em>k</em></sup> where 1 ≤ <em>a</em> < 10 and \(k \in \mathbb{Z}\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Marian calculates the mean length and finds it to be 105 cm.</span></p>
<p><span>Calculate the percentage error made by Marian.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The table below shows the number of words in the extended essays of an IB class.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Draw a histogram on the grid below for the data in this table.</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the modal group.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The maximum word count is \(4000\) words.<br></span></p>
<p><span>Write down the probability that a student chosen at random is on or over the word count.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">Consider the frequency histogram for the distribution of the time, \(t\) , in minutes of telephone calls that Helen made last week.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Complete the frequency table for this distribution.</span></p>
<p><span><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAdwAAADOCAIAAAAbqCSGAAAXqElEQVR4nO3c3WsbV58H8PNvzJUMc+UQQ4tvwnMR5qKINAVjCrlpYS7shKS0XUIvZlfYTXtReMoOyDRkCQQGm4QHymNmJVr6LJgMohAKTkcPLITHHrG7NK09ujCLd5gLI8Th7MXMaF40oxe/6pz5fpiL1pJGR9JPXx39zlEIAwCAmUGuegAAABBDKAMAzBCEMgDADEEoAwDMkFQoy5U5HDhw4MBxJUdOKAe5fEkfBwDnCqUL/EpWL0IZBIHSBX4hlEFAKF3gF0IZBITSBX4hlEFAKF3gF0IZBITSBX4hlEFAKF3gF0IZBITSBX4hlEFAKF3gF0IZBITSBX4hlEFAKF3gF0IZBITSBX4hlEFAKF3glyih3G9vvDPqn1xarLf7jDH/9catawurL/Z9etEjot3XL9a+aXb7U97uuF3/UJ5/sLXvXciwJtf9YX3tL+1u74qHcSpTlq7frr8/KJWFB43DqDr67fpipoTOS1yx795r/HGOJ54I7bafr90OHu/q019P9yp3G/fCJ+fz6es8Fj/J75zvU3xhsg/8j+bqu+f4UgoUyh8+anY8xhJP2Wqjyxij3V+/u/unersfv/zvb7T9ixwN9fdf3Jtf+qp1OHX2R+/V84uA4/aTv5zqXL1u65vbs/DxML3TlK7XWp8P3mk3Pmm8jV84+rb52Vrz8AI+nMJCvfxQPm7XP5Qr15Y33xw2Ppcr15Y394cKlfrtF1tj3ibUaz1aOHMoM3bS2fyYp1AefuBh8SCUk/r/aL06Cv87E8qMMfr2bz+8ubSZMj1sfDKffmNP4XxnytRvP759+lrvHTYeLsw/vJBIukinKd1++/Fn//wvt67Jlbn08++3n2xeSFhcVSjT/a2la3Ll3XuNt17r0ULlw432cfY6/uuNW0tj5y7RLOeModzvNj7nKpSHHng4l0IoFxkO5ctE3zYf3JBvPW5ffIdk7FD8/Rf35s9W615rfT71jZ4Lpwvlf3vy+v+CZ6wyl3gFhQvlsQniv9lavTHJF0qEMkJ5MgWhnOgPft7s9lNNvc0dq353oTInV5a+ah32uy+/ypkxMeZ3Bldbf/66m5NT1G8/vl2ZW1hredG9TnEv2T5j3Otc/NfGbtgEXFpv7PuMxaUcVvOgsRW0PrxO49HtZGM9fDao39nZWL0hV+bkW2sv2uGDoN1fHgd/zL7HjlprN+XKx1udk/N9lS7UaUO53Q+aNpU5uXLtdv21z1gilEc/4VO+1iwRyoMrz999nCyrvHpLdWCPgyvcXG8dZR9O8oWuLK1vtjp+ePvU6kt24kL9TmM9GGqqGPLLJieUh8ecelp+2Bo6SSKU9dY/gnu5dnut0YmnNV7n5ePow3Jtq9Xxo5csOvP7euPli7UluTIn34ramJknIXWPGanzJ67mdVp/jZ7Da7cTSyxjQpl2f/0ueBJOk9QlCuXEmyp8Kmlnczlc63ix758cNh4uVObk+fduv3fz3ubL5tpNuTInL212wgnTm63VG/L8w+Zhj3Y2lyu5DYogRlMvw3T3kpk9hd805+Rb37S6J0MtvCi1gylG1BWN+tHpSxkbzJ0XHjQO6Uln82M5bE0ctdZuhmPwO1b9yY9xKAf9vty24+w6Qygzxrz9zQcLlTk5/F6fnCmPfsJP91oHAdQPv9YMmgmF9RZ1YOc/Xjf/0+tsLuetQNDDxifz4Xw/+O+4azdu3WJo6aWobIayqWDM6aelH0xc5LgtNnhjLn3VOqTZ/mzvsPFwIfyMDP77xr3NN37qCb92+9HLLg0mEIn5R8Gw04KX+9ry5n5018EUJHieb663jsKvv4nXbmQoBx3n4CRe5+XTjR8QyhOHciYBoyc6eMkzX6mi1n5wzuA1yPm2Fcye0p+NU9zL8FfacDq2mL9Qmc6I7JttOJSDqk2NZLHe7of3MpiD5z1pV9ILOq2zhTKL34TzD5uH/1sYysPpdpbXOvoAXlhreaPqbVDGH291Thjd31p6b2imHMZTOLDwzNGEeupQLiqbTDYVjzn/kQ4+6dPPTGZ4YVCGgwlTeP5Ry6OJ5zC4NFPwhcNOSQVxsKITZHfwARC8HNm30shQDh5OZrI/BYTy8FsouDTzFkrtmsr7mh/cQ/DapL9OTnEvFxzKuRsHVxvdqOsiV+YWVh9bneQaI3/9Pnb2UGbhmrBcmVt4sPnv350xlKd7reXVRndUvUXnGQRT3mNJtzhTVTR1KBeWTeYBFo951CNlo0M5G3+pFB4ZysXDznuwRW1x6ndaW/Vv14MmxkShHBePPH9342Vn2p1eCOUpQ3nw3TMXH6Gc34ug3ddhVy7VSS9rKA86AKnHfhmhnJqa5dTbBK/I6FCOpuRThnJO2eSH8vCYrzKUR3feBpvb8lY1g/548G1piplycOLBTvC42TIhhPKEb6FBI2/0/rDJ2xfnEsrpDZ5jQ3nwBblwN0W4zJV4u5ayfRGKvkDE8Tf6CT/dax2lRupL/Yh6m+RjMvjmHp05O1dIZ3TOM5Eus+KyST/A4jGfQ/siXGoO73GS9sX4amcs2ZUO13UHgt3cp2hfJE4eLPBOOaERMJQHqwpDn9jpZlx8zWR7fi7d5o9f/sG8KVwwod32T8OrucGtchf6JrqXgjdqus+YWIEJ/zL/qOWdRNsGBm+2xMmP3/788//QqE02+PSm3fbf2l3K/vix/qTZ7tKcTdZlWeijh41/+mz43ds7bDxcSKyUjnzCT/daB6kRfQBEW/GK623oPHmPJlzjSiysxQt9qaLKu3H4KG6utw4Pf/7lv2lR2WQeYPGYB4909cW+T6PzD7b0pB9RtHwaDS9YiAvuOgjK4YW+4PMmWugLX6+iYWeE4RttfaF+51Wr48Xdj6XNjhe1IzIrTIOHEI45eJv0uz882WgEb6e3zQc3pt1RKlgox7uUoiPOx+RPZuV36u2TZMvp/Y3G5r340m+bf/08PsnwZrLKjXv1ndwuflAleVviJriXzJXb3UST7t179W/j28br3fvNsOdw9/EvDf2dwW2D3VzBhtNgbToYUGL3T9zwOvy51fHCvVCZ3X5l2BKXbIYOf41N/yRyxBM+1WvNGOs2Pll9+uvh22j7VKao8ustVcajNggXlOuYLXGBaP/JrW9a4SawvLKJf20cp1X+ncab//4jfPZy9tUF4/l2I34LD968uUWbeSx3N+p3hx5XwQ2zT1XyR+f1ZjiwwZOwttV60wk/gJfWG/t+9oEnY+f9jfZx9+dXHS+ok9RGugkJFsozIFi4HzWL4Up5fjwCF+fKflDOJYTy+Tvbz6xnSpl+Zg0XB6E8DYTyRaD+/ot776R/ncWfkv2DRHBhBotpfK1MXBWE8kU57T/dOTNK9E93wkWaqIsNMYQyCAilC/xCKIOAULrAL4QyCAilC/xCKIOAULrAL4QyCAilC/xCKIOAULrAL4QyCAilC/xCKIOAULrAL4QyCAilC/wqDOX0v7WGAwcOHDgu78gJZYbpBnALpQv8ktG+APGgdIFfCGUQEEoX+IVQBgGhdIFfCGUQEEoX+IVQBgGhdIFfCGUQEEoX+IVQBgGhdIFfCGUQEEoX+IVQBgGhdIFfCGUQEEoX+IVQBgGhdIFfCGUQEEoX+IVQjlF3d0urEkIk9cmu27vq4QxQz6pJJFI1HHrVI5p5ZStdEAlCOeLv6soHNeuAsp5rfa0oddu/zPDrubapq1+Ybj97Cf3NXLkeRbJUNfaQyWOVq3RBLAjlwIlj3JE0ywv/98jS/nQO8UcPrNoXhnMy8kpBHC8q2rOm7Q7dI/XtejUeGEykTKULokEoM8YYo3tGVU6kMPWsmjRRo6B4huvvmVp1ZLfBcyxDU2RFMyynKHWPLG2RkKpmmMXXgawSlS4IB6HMGGPUMapkUbOOBn/wrJpE7oyc5HqO9b2uXpdU3Rya4dIDcyVuAyu67Q/ddmwcDwYWt5M1c88fcW2IlKd0QTwIZZYXwaNDeaJIHQr6wQV7RlUiuRcVncq1m4amEELIB7p9POGtyqw0pQsCQiizaUI5iONFVf9+XDOh75r3Cbmf09aIzzN+ppwapbtTUyQJ/eUJlKZ0QUAIZcYmbF/0bV0mE89wjyxtcdz2tSCapdwGSO4wPasmSTXLw/6LMcpTuiAehDJjLGgp/CmRtieOcScnUqlrN59NNMP1LE2acPvaqN50dpiOUcU+5QmUqHRBOAjlwFRb4sbPcPu2Lk/TNR61iyNGPevPtSnOWV5lKl0QDUI5MvWPR0bMcE8c4w6Rajt7O3Uju/FiGj3X/inavNxzd59qX+5M0uaAcpUuiAWhHKPuq7p6nRBJ0Z7bk/7MOneGG4SyoupWToaGvelcmYXBnmt9rQS/5FP1bcvBfrgJla10QSQIZRAQShf4hVAGAaF0gV8IZRAQShf4hVAGAaF0gV8IZRAQShf4hVAGAaF0gV8IZRAQShf4hVAGAaF0gV8IZRAQShf4hVAGAaF0gV8IZRAQShf4hVAGAaF0gV8IZRAQShf4VRjKcmUOBw4cOHBcyZETygzTDeAWShf4JaN9AeJB6QK/EMogIJQu8AuhDAJC6QK/EMogIJQu8AuhDAJC6QK/EMogIJQu8AuhDAJC6QK/EMogIJQu8AuhDAJC6QK/EMogIJQu8AuhDAJC6QK/EMogIJQu8AuhnOBZmkQidwzn5MoH5FjNbV2VNcvLXEJde0tTCCGSWt916ZWMboaVrnRBIAjlgd6B+WmcyVXDucSoo65t6vdXzN8TfztxjJWP1GWJECkbyse2vqzUdlzKqLtTU5Z1+/jyxsqDkpUuCAWhHPF39eqXlneOSdxzrW9WjL3RZ6SubeqqpGhG086Z8dI9oyplQpk6RlWqRUOlnlWTLvcjZPaVq3RBLAjlAPWsmkQkRXtmWo4/xe1c29TVFdPNXuA5Zk0Z1QOhvmMZWpUomjHiHnNC+cQx7qQm8p6lSbPQbJkhZSpdEA1CmTEWZl/UuZAUzXT8cTNP37G2dVW6ruqm7fbSZ/vNXLk+aITIut1PXzxRHCcGlgrl4b94liZJ1XFT8lIpUemCcBDKCdS1m880RSJEUvTdwrj0HcvQFFLVDKswu/PaDoyxcJ6b0yYuGtIEEYxQHlK60gWBIJSH0AOrViVx0zYhiGNJ1bdbY6bSrqkSWU0t3MV3cKaZMkJ5AiUtXRACQjmPZ2nSomYdJf/Wt3WZkPywzgo61KP7vFE0S6pu5i3xhddC++I0ylu6wD+Ech66Z1Q/Go5U6trNsY0Lxhg7srTFyTbVUd9pbeuqVBTNBQt9yb9Qx6jOxK7qGVLe0gX+IZTzeFatVtzzDXvKeUt8gb6tyxN3jRlj+fuUgwuwJe40ylu6wD+EMmPBFDjaJkzdV3VNt3LTNql49wV1jCpZ1Hb+btWf22N3cYwZWe6CIX48MkZ5ShfEg1BmjAXRJhFCyCSLeOlbDu9Tpo5RJbKi1vOS3bd1heTLLAwGjemCn31Td7euSoQQRdsq7kiXVnlKF8SDUAYBoXSBXwhlEBBKF/iFUAYBoXSBXwhlEBBKF/iFUAYBoXSBXwhlEBBKF/iFUAYBoXSBXwhlEBBKF/iFUAYBoXSBXwhlEBBKF/iFUAYBoXSBXwhlEBBKF/iFUAYBoXSBX4WhLFfmcODAgQPHlRw5ocww3QBuoXSBXzLaFyAelC7wC6EMAkLpAr8QyiAglC7wC6EMAkLpAr8QyiAglC7wC6EMAkLpAr8QyiAglC7wC6EMAkLpAr8QyiAglC7wC6EMAkLpAr8QyiAglC7wC6EMAkLpAr8QygHPsZrbuiprlpe5hLr2lqYQQiS1vuvSKxldVvFoGWOepUkkcsdwTi5/fFeuTKULokEoM8ZOHGPlI3VZIkTKxtyxrS8rtR2XMuru1JRl3T6+zJFR1zb1+yvm75ONljHWOzA/jTO5ajiz8TFyyUpTuiAghHKE7hlVKRNz1DGqUs3ygmCjnlWTziHmeq71zYqxN/o01LVNXZUUzWjaOfPzvNEyxpi/q1e/jAZcXuUqXRALQjmSE3MnjnEnNdn0LE2arCEQZOqK6WYv8ByzpozqKlDfsQytShTNsBx/itGy8GODSIr2zBxx2xIoV+mCWBDKkeGYG/6LZ2mSVB09yfUda1tXpeuqbtpuL30Xv5kr1wetBVm3++mLJ4rjorFFf4xOLyma6fglnTKXq3RBLAjlyCQRPDqUfccyNIVUNcMqTMOitkMwK89vE091HsaoazefaYpEiKTou+WcL5erdEEsCOXIWUI5iGNJ1bdbYyanrqkSWU0t3MUjOOtMOXWFA6tWJXFDvFzKVbogFoRy5LTti76ty4RMFn9Bz3d0VzqKZknVzbwlvqKxDfMsTVrUrKNxoxJQuUoXxIJQjhQs9CX/Qh2jmhep1LWbYxsXjDF2ZGmLk21To77T2tZVqSiaJwllumdUP8I+ZQC+IJQjZ98SF/aU85b4An1blyfuGgd3mbNPuXC0WZ5Vq01xXyIpV+mCWBDKkfyYm/7HI8W7L6hjVMmitvN3q/7cPuO+iNyPENduRpuaqfuqrulW7mdDCZSrdEEsCGUWtXoLfppM3d26KhFCFG2ruMc7dMqcfcrUMapEVtR6Xlb6tq6QfJmFwcLRUnenpkiEEDLJkqPQSlO6ICCEMggIpQv8QiiDgFC6wC+EMggIpQv8QiiDgFC6wC+EMggIpQv8QiiDgFC6wC+EMggIpQv8QiiDgFC6wC+EMggIpQv8QiiDgFC6wC+EMggIpQv8QiiDgFC6wC+EMggIpQv8KgxluTKHAwcOHDiu5MgJZYbpBnALpQv8ktG+APGgdIFfCGUQEEoX+IVQBgGhdIFfCGUQEEoX+IVQBgGhdIFfCGUQEEoX+IVQBgGhdIFfCGUQEEoX+IVQBgGhdIFfCGUQEEoX+IVQBgGhdIFfCGUQEEoX+IVQDniO1dzWVVmzvOxF1LNqEolUDYdexQAzfGdHVyVCCJEU7bnt9lKXUtfe0hRCiKTWd91ZGO8lK1PpgmgQyoyxE8dY+UhdlgiRhkOZ/mauXI8iWaoae5eYcT3XNnX1C9PtZ4bUrD/dcTzGGHVf1dXrRKnb/mBcx7a+rNR2XMqou1NTlnX7+PKGPBtKU7ogIIRyhO4ZVWkolKlv16s50+ez3NGBVfvCcE5GXimI40VFe9a0s1Nd+l+vWgfx1Jg6RpUsatZR/L9SzfKCG1HPqkkzMru/ROUqXRALQjmSH8pHlrZISFUzTMuZIpmpa5v6/RXz9+wF/p6pVUf2QDzHMjRFVjRj0nv0LE0ahPKJY9xJnd+zNOnOuM8A0ZSrdEEsCOVIXihTx6iSuJ2smXv+uLP4TmtbVyVJ1c3sFJcemCtxc1rR7czJpo/j8HaWJn9qBnPn4UfhWZp0yV2Xq1eu0gWxIJQj+TNlxhijrt00NIUQQj4o7s9S37EMrUoUzbCcouzOtBoy905yLxo3bs/6sqrvhvc4HMEIZQCuIJQjxaEcXu7u1JTcK4RxLKn6dnEcM8YY67vmfULuZxfuQqeaKfu7uvpdvMqHUGaMla10QSwI5ci4UA4XzeI1tIBv6wrJ3baR48jSFsdtqguiObf/MezYrn9t7CXuGe0LxljZShfEglCOjA9lRh2jmhOpPdf+cWzjgrGp8tFzrO919frIaO4dNJ9u7WXGe+IYd5KPgjpGlWChD4AbCOXIRDPlP9cKe75RT7k4R/u2Lk/XNS7YpxxcZD2tWweDtsXe1vOWRxm2xDHGyla6IBaEciQnlHuu/VO0Tbjn7j7VvtwZ11AYsfvixDHuEKm2s7dTN7IbL6bkOWZNIWlx8uLHIyUrXRALQpllf0gdf9nvudbXQfZNsIiXPmPOPuUglBVVt3KSvW/rMimQWRjsHZifStnrpLsi1N2tqxIhRNG2xjemBVSa0gUBIZRBQChd4BdCGQSE0gV+IZRBQChd4BdCGQSE0gV+IZRBQChd4BdCGQSE0gV+IZRBQChd4BdCGQSE0gV+IZRBQChd4BdCGQSE0gV+IZRBQChd4BdCGQSE0gV+IZRBQChd4FdhKMuVORw4cODAcSVHTigDAMDVQigDAMwQhDIAwAxBKAMAzBCEMgDADPl/TNpLi6UZPbsAAAAASUVORK5CYII=" alt></span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the modal class.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the mid interval value of the \(10 < t \leqslant 15\) class.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Use your graphic display calculator to find an estimate for the mean time.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>In an international competition, participants can answer questions in <strong>only one</strong> of the three following languages: Portuguese, Mandarin or Hindi. 80 participants took part in the competition. The number of participants answering in Portuguese, Mandarin or Hindi is shown in the table.</p>
<p style="text-align: center;"><img 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cMJaHMXIFEa49NuxusbGjBvxwtYm6iGdOOr1A/i2e3bkN9SiqIDVqczJSming/dk99FBMZCHXMnIgarXPsJvLz6OObteB7LZ0kjvKSQdSa2v1EI9YDKFNBu2o3V+ruweX02EtVjFWXNx7urd8PULkCwNeGoaQbmzol26TwW6uRf4H3xALJixgG4CNPLW6GPexbr1z4Itfz0i8KsrGK8kflfWP3yiR6h1QGpOZKJo+5GWmYb9p8422VHOSz8T1okeI/xav8YB8ovIFO32MVSwjkV2uWLkWr6CJ/aFM6kejk2rl+AmAgJ1lioE36ARPXHOPrpBQgQ0N5wGOUtixRpohCTnouN0ouD+zMgef1pe/HI35iL9BjnqEGV+j48nDgBpqNNsAXQj6u7+oP5by9JwXh3z7fy//gUlPQ1o8AXNhuM0qMtj2DFgbWF2GcH1Mv24jP5RecabPW/hBZ2mPJewC6LA+r0XfjKXAo5ujyzFOavRLSui4eqtR679U2AthxmV97z1avkZ5/9+BlcCKC2SkdwtDVe1ifkCPT80bgNmoLPMffVGryVm4gI6QfbfAxV9rvw4Oxvy05gF6QIDWLjgMYWm497U24mU4WIadGI61KgPweXYK6tg10djelTJCfQ/XGVZXdOlFBpZuMR7QlsqHgbDca3e4Z723+P2ioL1PdOxxSPJ18EpsXOgL1HaNUtJxj+T0RC2lw07v8QrfIPjDssfHfPSRZRySi2mVGceAlGgwEG6U9fgJTYbNT1VVWP9uKyS1w0psmOojuzk6f7DEOR11XIrQ5c8hpbcV7Zs32rLAH+Xc8JYK6JYFfqkT+wtyhgMDYLcD7+UE96kdpfJ3ndC7F5/WLMcr8MJa9yvei8g13vn3aGgHtRyDmRR0TnWw/hfN1hGPQbsTRjp7Nn8ctLuPJl4HiCHo/DXurCSyRAAgFOoNcfjfeLkfVEvKvX6zounG3tDm30Uh/7J2cD6g21FxUB+4tIGR/ePf4vLAzhSuclIhHrakx444G/onrTCqTEjkdYj3GQQE/H+euIzT7Yq8jguahCVMLDyGx8DydarwJSWPjkd7EoscfoQNcwgWxoImORsv0U5CDvhHl41fwaUqEcU9pH7YWLOPuJrY9E0tfSsAQfyOuHJCbpg0C/bdZHOSHwtdBxyTnub2Yi7pkhRRTcn3EYPzlSPjndeA5fuC97/3c0Qa+LQ7gmAQsyMpCRrRgSc/tEjL89cNyvwNHEGyLPSYAEfERgLKZMj75lOLZnL5mPRPuyGHmMonuJHOV/xbjFiBgkpz+N4vdtEDttMFc/ggsbUqDdZHKFfdVIrfhMHiPZvdyOq6xgXypDER6+0XoKDQ+m4j6PnjqnMQTrIazNbsC86rPolF4Y0tORnv4QNFf+hMaB2Es1CdPv1fSZw2fy+pTEBH0S6KfN+iwnBBKoIic6w72nG/DpGeXKC1dx5YsOmcDMuDsxuVcWV2E98AKypbGy2nxUVL8Ds+1adwi51zwjd5GO4Mixp2QS8BMBV2+R+jOcbPpL1xgyWbjDhpZGIC5WM4CxgP0J77plevcwCXCcb1U4HF5hxF6JSGHPVKgbP0aTx2w7AQ7LS0gKWwR9b0vkqNSIT18OXWY85B7PCGkcnQaNJ//gtdD2ZVjKfuSbBZB71d9fF93h4Tr85vhpJM6Z7jkMQFbDzd97mMANdFwe6Mxpt128Q7IOnG8546q0L+X5i+NoltMfm43m+ve/bqro72NxqhSHP4gNW/ajWR52cB12405sklZRwGNYmTQTva8w030PqGc8gLQFP0T8t7/AB9VHnb2M/VfDLynpCPoFM4WQwAgTiErAzzYn4t3Vz2Nbg901y7YJ+jVrURKbh62LYnpxGtw6K521q3A4bsD5kLShqvId1wOyHVZDuesB6coXNQfP7PgeqjaVwyAvzyItxXAYWzbtVYSpxyF6zqNItdeg8tAfnOMUHc0wbClWDIpXIUqbgx3zjmN10R40yM6gs6xN63YCpeuwKGaca5eFNBQYml3jHaU0H6C2AcjKSUG0ahK0zxRh3ru/QNG2ky5nUNK7BOvygNKt6YgJ6ieiy/k+vR/bT8zEnGhlOMttS7eDfgJVe//TxUCaXLQHRatd45fcSfv877ZLDZauqbpJO/ClvD4VYoI+CfTHZn0WEhoJVDFYtDUPWgD2fctxV6Q0LOU2aFJ+CRPU0JY+j5XxzvU5u3sP3cvHtGDmA99zTgzRZ2BaeBjCwqch5fh1aCXfkmMEQ6MNsZYkEFgEpNmxL8H0xlxcKIhHuDQTMfJ/o2XuNrTUrEV8LyHEbv3HIXre0yi8vgGx4TOQcaAVgvSQ3P46clHmekAuREVHKja+trA7G8ZiavpWmIom44hWGq8Xjpgt55C85hmkKlKpYp7E9rosYEMcIiW95r+Ojox1eE1+G3clVN2J9G3VeGPu5yjQ3CaXFak9gslr9rsmxACqmKXYa87B5CMLneWEhcOZZjc2L7jTOVN66gJsM23D3AsvQCM9nMPGQ3tkItaY9yDX9VBXqBZ8h1J4OAMYO/cBRN/MqY2ag5/XFCPxI52LQTye+2ASdIcPDnwigssulXFGJMs/lLOQc+ourCld0M3Ol/K6S+XRYAn0x2aDLXtU5VMhIn4talrex8HSZd1Da6RQb70JNeukiXjOjyp6HjaVu9OocQe+hm8uWI+avfmyIwnJcczfB/Oh/w9rHpkJuCa4BQquMFEaKMMPCZDAsBCQ9gDmLeaJVloEd562FQXNm0Nm+yq2A882EExntJ3/rEXW/mHtzflm74z+0YZSSIAERi8BeXeQOOj0TV1L0wj2k9i25RVcd69vOHprz5qRAAmQQFAQoCMYFGaikiQQhATkkOCvEHf8p65QbRjC419D5xO7u8K5QVgrqkwCJEACo4oAQ8OjypysTKAR8O6CDzT9qI9/CLAd+IfzcEih7YaDau9lknXvXHx91ZszewR9TZjlkQAJkAAJkAAJkECQEKAjGCSGopokQAIkQAIkQAIk4GsCdAR9TZTlkQAJkAAJkAAJkECQEKAjGCSGopokQAIkQAIkQAIk4GsCdAR9TZTlkQAJkAAJkAAJkECQEKAjGCSGopokQAIkQAIkQAIk4GsCdAR9TZTlkQAJkAAJkAAJkECQEOhaR1BaV4YfEiABEiABEiABEiCB0U1AufXpGGVVlV8or/N49BHwXlBy9NUwMGpEzoFhh5HWgu1gpC0wePm03eDZDTQnWQ+U2ODSS5yVH4aGlTR4TAIkQAIkQAIkQAIhRICOYAgZm1UlARIgARIgARIgASUBOoJKGjwmARIgARIgARIggRAiQEcwhIzNqpIACZAACZAACZCAkgAdQSUNHpMACZAACZAACZBACBGgIxhCxmZVSYAESIAESIAESEBJgI6gkgaPSYAESIAESIAESCCECNARDCFjs6okQAIkQAIkQAIkoCRAR1BJg8ckQAIkQAIkQAIkEEIE6AiGkLFZVRIgARIgARIgARJQEqAjqKTB42EhIFj1SAsLg7StjeefBkkFehit7cMil4X6i4AAh7UWZbo4l33TUFDZALvgLf867JYqFCRpEBYWB91LJ3tJ452H54FBQLKxCYZDZdBFF8HY3sO4ANphPfoSdBrXfa7RoeyoFY7AqECIaCGg3VgEjfJZm6aHtTdzhQgRn1fT0YCypDjoDH/2KFqwN6CyIK2PZ6BHloA5oSMYMKYY7YqokVrxGTpFEdKe1vJfpwXFU45jqbYIhrbrox3AqK2f0PYe9rwDPL7zU4jiNdhOPY4LhQuwpLxB4QQIcFh2Ysm6M0h76yzEzveg++JFrzSjFlHQV0yw7sVPfvU6qp/Jw74ve6vOdbQZiqDVNWGu8Yp8f3daluLS1p9hk/Fibxl4bTgICH/GsTdrYO8qW43Uxd9HNH/pu4gM6UA4B8PabOSZ/u5ZjKMB5UsWYHlJnet6HUqWZ2PD4XMIBh+czcPTnDzzJwGVGonZOmTCgN21Z4LihvEnnuCQdRV/+uNELFqbhpgI6XEyFurEbKzfPAem8sNocPccCVYcKDqExI2rkKweC6imIvm5XCSWl+GA9WpwVDWEtVTFZOHtN3fjF5sX9k5BOIPa3QYg8yk8OStKTqNS/wDLM6eiqvb3YJ9/79h8e1WA43cG7J60DVfcL9uiDbVZs8Afel+Qbkfz3hewWt/kVdhl/K7uczwkveCKnej4bC+WqaUkTTh+5mJQ/K6xfXiZlKcjQUCDe6dPUjys2mE16l0hRCnMlIYCvRFWh/RuJfU8rIZG00t4qt2IAk0CCuQeCO8yGIYeHsuOw0zt9zDV40kyFlOmR0N+FrqECq0fYn/dVMROi+hWI+pupGW2Yf+Js0HxsOxWnEc9CKgmYfq9GtgbPsUf5ftUSuHA+ZYvkZl2N5yuYY9cvOBTApfQcOBN1JUUY4vewCE3PmV7HXbja3j9+v3InOld8ATcl/4kEqUXXKgQMSsZTzwiJZqNuTOUv2ve+QLn3OPxHThqUZOQICDY0VBhwMW8bfi5dpKryu1o1j8L7dLjmFJskUPJnbbnMeX4WsTO3waLYwymPpyOTNTgzWN/VjgQAtrNx1CFVKQlTIDDUoGcpScR+2qzKwz9W2wM34+UNYc4XsZPjev2eQmIlXsJr6L1xHuoU0dj+hTpYan8XEPd/g/RGgzxE6XaPPYiMBGJi56C1pSL+auq0Oy4CrtxL2qnFCruba8sPPUpAcH6GxSXWADUoSQ7AymxC1FgaFYMz/CpuJAqTGh7G786MAPPZH0Pk29Vc4cVRv0ObN83E/nVB7Et/U5FB8etMo7sd3QER5Z/CEm3oy77LoQrBzGHa/BArgFnLvwFHV+6PIF2M17f0IB5O17A2kS1fBOp1A/i2e3bkN9SiqIDVghR92NR7p3Q765XOBCXYK6tAzIfRkLUDdg+/QimuAcxJ8bVFyGFIrfWQqzNQgxb/TC3O8kWbVj5r8munkKpZ+gMEBeNabJjOMziWfwIEFAhIn4V3jq1A48cXY67Imdg+dkf4cVnH4Sa95tf7CGF72tFEZ02Mw5X5EMrOYQZ67DLctkv8ketEGn8X9F5PF22wCvy4VXjGxaU3RuLlOwSmCT22/ehLkgmQvIW9bIlT4eLQC+TRcQraKleDpSsRs4uMxxw9erZ78KDs7/t+SYVoUFsHNDYYoMDE3Df4+lIrXsPJ1pd48vaf4/aKrjCUGOhuedfoK17BRWH/xNGg8kVVh6uurHcbgLSpJC3UDl5FVbGT+i+zKMQIDAGkROmIS73ReRrgbrstdhgbFP02ocAggCookodjyeyilFvq0Oh9mOUH/iYYzQHaxdpcsi6aszYuhLxfb3EjonHuk9aUC874QBMLyJD++ubzLAfrELDk4+O4PBwZan9IhCFmAXLkJkK18SCq7hwtlUx461nIfZPzuKCAKiiU5CT9Rk2VHyIdrcDGfsUFiVOdI7TiF+LmpYyPHD5bWzKSEJsZDjCkgqgN3I5i55UfXjFYcaeA/+AwpUJ6B4NGIFpsTOAxlac7xo/5kOZLCoACAhwNFdhbXknfpr7HIrrf4v6QuDFlByUs0dqROyjUqfguY3LgapjMLsnbY2IJkEs9C8WHNldgoxptzmXhflaAvJOS/U5jX0Z/4joMgtuKKsXEYPkrBdRYy6HVrpu/wgf/7HXafbKXCN+TEdwxE0Q4gq4Bpk7KfScZOBNR33vdEyRWq3qDjz81HzXQ+4izLXHEZc5D/d1vbWpEBGjRXpWMd53hUuqH7uADSlLuJyFN1RfnQvncGTPnzBv41OY1WUHqfBxiJ7zKFK95QgXcfaTy1zewptLMJ5Ls8LXbsL5xO86Q8HyUIz9MJcCeUUGjssdEZuqEDEtGnEckuFn+tIwiUxszI8HMBkTI8f4Wf7AxdERHDgz5vAlAdkZsEEtj+0bg6iEh5Gp/gwnm/7iGVJy2NDSCMTFalw9TSpEJS5Abmwd3tx/EO9UTcXiOdM9w8kKPaVwSfoKHTLVNrmYw5QAACAASURBVHxyNjim9CvUD/xDoQ3Gbe8i8ic/7nYCHU2o1J+Uw1Kq6O9jcdxx1JovdddFtun9t7Rbd2IeBTQB2ZbePR9R+M79d3vMHg/oOow65QQ4zv834gse57jowdpWnY7KrqV4RIhfmVEqzxqeiWXVn6N1XTxUbQZka+Kg0zcpJuaMw/jJkUDqo5gTPW6w0v2Wj46g31BTUE8C7bAe3oequvuRu+h+5xITUQn42eZEvLv6eWxrsDudQUcT9GvWoiQ2D1sXxXQ7exF34/HMGdCvWI3yOOUNdxVW/SKEJRXB0DVYtx3WY8fQgHTkpM3oLqOnUrwyUAKOZhgKs5CS+7+QonGFUKRJQZGpeAvfdDruqhgs2vokGjbthNF+HZAcx1+XoyF3HRbFBP6DcqBIQi69PIHrftRtKMXeZteqgY4/4FDlR5iXk8IFjYe9QUi79vwHjlhcz0xch73hNWwxxWNN14oMw65ESAoQLpzBcXsT9mX/FKtcuyUJ9o9QfTQWFdueDA4nXHR9AGmVDX5ChYA/7d3ZUiGmAqIk0/NPLWrzXxMPm21ipwf4K2JLfYWYr1W70qeK+RX1YkuHZyopS+f5ajFLrRZTKz7zLKPTJpqrS8Vl6m6Z6mWlYnUPWR6CfX7iT84+V74/BXaeFauzZnvZ1c18oVjR8ndFKddE26kdLpukivl7T4m2niZVpB89h0HfDq7Ui/mKewm4yT23N1/Uuu9z9TKxtK5F7AhyMwaH7a6JtvpfdrGXnnUH64OPfcCz/sosls6Unm8zxWXVnztbtvRbo2z3kH6vakSz7VrAtnxvzmGSppIbL+0B6zoMSa8+1Co9Wuwt7WM8T/sxcn5bjvSp3mvUjbxVRwvnkScZ3BqwHQSv/Wg7/9mOrP3D2pszQ8P+4U4pw0FAaINprwHXc5chNQCdwOGoMsskARIgARIgAV8SoCPoS5osy08EXGMAw/8ZmzqzsNtjqRI/qUAxJEACJEACJDAKCDA0PAqMOJgqeHcND6YM5umbADn3zSgUUrAdBK+VaTv/2Y6s/cPamzN7BP3DnVJIgARIgARIgARIIOAIDI8j2G5EgSbMuRK3cm9Z6VijQ5nBArtPNplvh/XoyyiqbHatOecKGWqK+r2tizTZIC0sAQXGiyNjHIcVR8u2oNLq2iptZLSgVBIgARIgARIggRAkMDyOoAukOr8eV5SLMYqd6DAmo3H1fCwpb1AsvjhI8u1mVOh+DUunO/84xGQdgGjbiuSo/lXNuVG3GcXJk9yF+PG/gPaGvdDlfYquKvhROkWRAAmQAAmQAAmENoH+eUs+Y6RCxKzFWL95Dkx5ZTjAXjCfkWVBJEACJEACJEACJDBQAn52BJXqnUHLeYfzgmCHxVAGXVc4WYOkAj2MXbtCXISxIAFhSQXYU6aDxh1uHp+CErsdddl3IVwOB3/p3FHCKzQs2BtQWZDmClXHQVdWC6vDGZv2DA275KTthPG/dnbrk1SAyq4V290qW2BQ6hKWhgK9satcyOFxDdL2HEVDZQGSXDprdC/hqFwvAe3GDZiV8iLsOIjs2K9DU2BEOwQ4rEbou/QNk+utN1qH3oOqxM9jEiABEiABEiCBkCcwco6gOhVpCRMBXIal/GnMP/J1rLJckxe1Fjt/i43h+5GSUwGLy2GTLWX6D5yYmAereA22lrPouFKPfLUaqRWfofMm4WChzYCn4xdgL3LQ0tEJseP/YG7jOmjXHkbbzcYp1q3G0lfh0ucKWtaEY2/C0yi3XHY2GEcDypfk4Ej4Clg6RVnnTts6hFetQM4us8Jhs6NuRRmqI3+GGilE3nkeb0x9D6lyvYCo5M1ori+EGgtR0fJ32IqTEeUwY1dOPo7H/hs65LD6Ndg23o6qlA3sQQ3525UASIAESIAESMDHBNx7oHhvOeK+Pqj/ru2I1Pn14hWPAtxbTKlFbekp59ZDctp4Mb/+C4+Uzm3J3FtUfSHW58eLUBeK9VcUe1LJeZVbHf1dbKlYqEjnfS6J6BSv1BeKajjLdspxy3fLWSVWn1duD+O87qyPK7+3LqJLVmqF2CKp2CsDT9neusjayduxuevtgcRnJ5Kt+UcGbANsA2wDbANsA6HZBpQOxRgf+5UexdlLUjC+xOMSoM1Hxas1mDc/3rkZfVQyim1mwGGF0fAB5D63y6ewPbsEJizEYq/sAzoVzuLE/hNA3KOYFuHu/FQhKnkrbPLGeoBg7aXEuPsxW63criwC02JnwL7hGMzrtUiW8tukEO4HMBy7BEDA5VN7kF1SB6Q+2kuB7ksqREyLRhzqnGHxGKlH1POj0szGI9oN2FDxNmanjYNj2kNIjonyTDTEM2krQe91hIZYJLPfhAA53wRMiF1mOwheg9N2/rMdWfuHtcRZ+XF7R8prPjvuOWtYhPh+MbKeiIe6S3I7mvXZ0ETGImX7KacjOGEeXjW/hlQoxhH6TKshFGRvxdkL1wFHE/S6exAZuwTbT/0PABUmpJXAXLEQaGzFeWU4e6DiIhKxrsaENx74K6o3rUBK7HiEeY8/HGiZTE8CJEACJEACJEACvRAY1h7BXuT1uCRYD2FtdgPmVZ/FnvQ74fQPpYkUdWgEcG+PHCN4QR2N6VMEWA+8gOyjc1F9vhzpXXvcShNNzgCIHrqCETFITpf+nkaxNJHm8Jt4eXUKtC31aJbGEQ5dAksgARIgARIgARIgAZffNWIgBDjOt6IRd+HB2d9WKHMDHZfbh66VajrmLJ7To5fOOVNYgzS9eyFqL1E9evUcON9yBurMh5EQ9aV8DO/wsfA3XL54zasgH5yq1IhPXw5dZjzsn5zFhZtNcPGBKBZBAiRAAiRAAiQQWgS6ArQjU20VohIeRqb6BKr2/qdrt5HrsDfsQdHqnbD3pVSEBrFxtztTfelAz4jsOETPexqFsQew6df1zvKFNpj27kedNg9bF8UonE+FMPtebNpy2LUUjBS6LsDSqu9hxzNzEIWJSEhLhbpuP/aa2pw7mgh2NGx7Hqv1TYpC+nPoHjMopRXwpeNL3JB3OklDgaHZNfvYORaxtgHIyklB9AhbrD+1YhoSIAESIAESIIHgIDDybkXUHPy8phiJH+mgCZe2pYvHcx9Mgu7wQeSr+4ComoF5BZm4Lq0j+I0sHGjtuU2bSv0INr/1FpZ3ljnLD/9nbOpcCvNbqxDfNYHES442E5n/fAZbYsIRFjYeycdno9K01RUGViFKuwY1e+/FRynTEC6tDzjtOXxwhw6Hq/PRl8pekqCKTkNB4RVkx34D38j4/3Emein2mnMw+chCRMprD4YjUnsEk9fsxuYF7tC5dyk8JwESIAESIAESIIGBEwiTphBL2ThbR6IgjfN7FCmf/Cta3s1CzMi7yQO3aD9z0N79BDXEZOQ8RICjJDvbQfAakrbzn+3I2j+svTmPYlfHP0AphQRIgARIgARIgASClQAdwWC1HPUmARIgARIgARIggSESYGh4iACDNbt313Cw1iPQ9SbnQLeQf/RjO/AP5+GQQtsNB9XeyyTr3rn4+qo3Z/YI+powyyMBEiABEiABEiCBICFARzBIDDWq1JQWyT7yFsp0cfIkJentJCwsDrqy/TBaletHXoVVvwhhmiIY22++gKJzXchF0Ft7zhofVdxYGRIgARIgAb8TEOwNqCxIc/1epaGgssG13J2kirQBRhE08u+Y9Fvm+acpMEL5q+Z35fshkI5gPyAxie8ICPaTeOlnqZhvsGHGM3XoFEVIE9fFjmosxX9gaewSlFnkHacBjENM1gGItq1IjmJT9Z0VhqMkab1LEwyHyqCLvonj7rDiaJmu64Gp0b2Eox6O/3DoxTKHhUC7EQUazx885w/gLRbqHxZFQrnQvu456ftaxQu3twMTyuwGUHdHA8qXLMDykjpXpjqULM/GhsPnnOsI4zounG29ybrH8chMuzvgdwPjr+sA2gOTDpGAcA6HN6xE7udZqNmZi/R4dfeC3hExeGTdNtSUAnnrXoel5+rgQxTO7MNJQLDuxU9+9Tqqn8nDvi97kSScg2FtBnSNyTB2dEIUr8Gia8dW7a9v2dvbS0m8NOIEBLSbj6Gq1xX/52DxnOnd9/WI6zp6FejrnhPa3sOed4DHd34q32+2U4/jQuECLClvcG1WMHrZ+K5ml/G7us/x0FtnIYqd6PhsL5bJiwU34fiZi64NJT5H05Wn0CI/11wdG2InrtQXQq1ORVrCRN+pM0wl0REcJrAsticBobUeu/W3IX9j5k0W856A+576FQ6viQU6bgDwCg3LvRAaJBW83PWWK3W7X/EW5bDCqC9AUlcXfRoK9EbXTjHeiXnuCwKqmCy8/eZu/GLzwl6Lc9s+U/cYZskLuY+FWrsYmXHHUWu+1GseXgxUApdg/ngy3rBdc/bmu3v1r9Qj/7FHMSd6XKAqPqr0uvU9dxV/+uNELFqbhhj3/ZaYjfWb58BUfhgNtxhqM6ogDbkyE3Bf+pNIVI8FoELErGQ88chMALMxd8Yk5wuPKgbpzz7h4uwWeAnm2jpA3pY28N2swNfQzZX/g5zAVbSeeA91fbwhqdTxeCL9h4iXb7zeqmyHqepTTCw8CbHzLzCtSMB4j2SXYdmVi6XHv4tXXW9onbZ1CK9agTUHrK6ufI8MPPEDAdWU6bhXbUPDx2e6eyMcNrScnhsUb8x+QBQ8IgQB036cjWSPe/QqrIcq8En697kNZkBYchxmar+HqR6/8GMxZXr0gHe/CojqBIIScgfDDmzfNxP51QexLf0WO321/x61VQiKsLCE1qOZBAJr6jBaCThwvuWMTyqnznwKT86KAlTfQszMKM8yhQv49Ggz4uY+0PWGJm0zuPX9VtRmzWKD96Tlv7Oo+7Eo936Y8rKxSt8Eh9AGY9kxTHlrDbQc/+k/O/hCUq/33VmcMExGTtoM3mO+YDyMZdw+LwGxN9tedRjlBnXRNywouzcWKdklMKEOJdv3oe4W45uFC2fxCYIjLCzZhY5gULfOIFJeuIizn9h6UVja1i/Ba6bVEAacq6bgnkdmoW7D6zjcYITBaO3ugepFOi/5i8AExOfuwany+3E0Ow6R4c/i7NLn8WyiYpyov1ShHJ8TEFo/hOGfHsfDU6UQGj+BSUAKV7Zh5b8me/UUBqa2AaXVmHis+6QF9RX50EqKmV5Exk3HNzujX41BEhaWqkNHMKBa2yhWRjUJ0+/V9FLBSUguNneNNepsqUBqL6n6f2kC4te9hZY3HsDl6mJkpMQiMkwaV6j3Wpqm/yUypY8IqL6BCXfGI7c0F1ocRHZOMYz26z4qnMWMHAHph68B/xQEsyNHjtFISxbgsLyFysmrsDJ+wkgrE5zyI2KQnPUiaszlTmfQ/hE+/mMvM+OEszixvy1owsKSMegIBmeTDEKtJyJx0VPQ2uv8MDkgCjHJ6cgqrnXOljPvwGMXXkLKTd/gghBn0Kncjmb98yjHE8hd92+ot9WhELuRsmQnZ4gHnS29FJZ++Azf4lhPLywBdeowY8+Bf0DhygREBJRiwaaMChHxmdiYHw9gMiZGjulRAal3fH9jcI19piPYw4y8MDwEVIi4Lx1rsq6hZFOVH3/8x0IdvwArdPOhtrfi7AX2QA2PfW9dqmA9hLXZNiTO/rb89imP26w5jFLsRBEn8dwaXoB/6wwLa5HAsZ6BaSnhHI7s+RPmbXzKNWM/MNUMRK2ENgOyNXHQSeOauxQch/GTI4HU3mbIB19YWKoWHcEu4/Jg2Amo7kT6tv+Din/UI2F+IfTK8XvSjKxDZfiZNhuNy/Kwbo5mcI1TaIY+LRpJBYbu5WIcVhyrtQBZP0Eal7YYdjP3FCDAcb4Vjd5fRMzA/Ynf9r7K86AiwLBwQJtLmpS17V1E/uTH3U6gowmV+pMBv9tFIHAVLpzBcXsT9mX/FKteOinvJiLYP0L10VhUbHsSMd4eVBCGhSXO3tUIBPbUYTQTiJiNrMqTaNn4AFC7BpHutf4iM1B5VoMn3miBtfJZPBLjNRu4v0xUs7B8736smXwE2shw5ySUyIU4MjkHNZt/xEHS/eXo03QqRCUuQK72BDZs2Y9mebFwAY7md1BZfR9nmvqUtZ8LY1jYz8AHIM7RDENhFlJy/xdSNLd1T8iLTMVb+CZDxP1AOea+p7B/rzRBpAn7cudAE56GwnevIWPvy8iSVq7w+gRjWFiqQpgo7e8lHYSFyQP2verF01FKgPb2j2FDhrO02PesFJR07TahRmqFEe8qluyR9uus+veNXVs1qZeVo3J99uCdfv+Y0CdSRms7EKyVePo3d2HbusRR61gErO1udc9JO/k8/SNk6Jt6ab8LUdGyD1kxgbfwd8Cy7oViMF/y5kxHMJitOQTdvRvCEIpi1lsQIOdbwAmhr9gOgtfYtJ3/bEfW/mHtzZmhYf9wpxQSIAESIAESIAESCDgCdAQDziRUiARIgARIgARIgAT8Q4COoH84UwoJkAAJkAAJkAAJBBwBOoIBZxIqRAIkQAIkQAIkQAL+IUBH0D+cKYUESIAESIAESIAEAo4AHcGAMwkVIgESIAESIAESIAH/EKAj6B/OlEICJEACJEACJEACAUeAjmDAmYQKkQAJkAAJkAAJkIB/CNAR9A9nSiEBEiABEiABEiCBgCPgsbNIwGlHhUiABEiABEiABEiABHxKwLW7sFzmGHfJyovua/w/egl4bzEzems6sjUj55HlHyjS2Q4CxRID14O2GzizweYg68GSG1g+ibPyw9CwkgaPSYAESIAESIAESCCECNARDCFjs6okQAIkQAIkQAIkoCRAR1BJg8ckQAIkQAIkQAIkEEIE6AiGkLFZVRIgARIgARIgARJQEqAjqKTBYxIgARIgARIgARIIIQJ0BEPI2KwqCZAACZAACZAACSgJ0BFU0uAxCZAACZAACZAACYQQATqCIWRsVpUESIAESIAESIAElAToCCpp8JgESIAESIAESIAEQogAHcEQMjarSgIkQAIkQAIkQAJKAnQElTR47GMCDljKkiBtZ3PLv+gyWG70V3Q7rMb9KFu5cwB5pLJvwG5Y6dRDZ4C9v+KYrn8EBDsslQVIkm2tQVJBFSz26x55BbsFhjIdNO72oNGh7KgVDo9UPAlIAg4rjnbZLg66l07CLnhrKqDdWNRt3y47F8HY3iOxd2aeD5KA875aiWzDnz1LaDeiQHOTZ6+GNvGEdauz67BbDCjTxXX9jml0L+Gotd0zk/IeCbJnGx1BT1PyLMAJ3LC8hh+m/AR5x/4e4JqGknqXYSl/GgnLS2CSq22HqWQZ5m94G23u339HA8qXzEdG3gUsrz+PTvEKPts8BuWpGVhrOAd3slCiFjR1Fc7BsDYDqXn7XC9QTdiXuxBLyhu8nPhLMNfWeb1kqaHNXYDEKP7U+NbeAhxWI/QFaQjXJCAj7xi836WFC2fxyU3eeNWZDyOBNumHSQQ4LDuxJCEDeZ8/iXrbNYgdjdgMPVK1RTC0uV523ffI0bkwdXaio+ZevBNEzzbenf1oCkwyWAIRiF/3PkRRdP59ZUbpTKksLUrNHd3XW9chfsxgZTDfyBIQ4PjdcTQ9tAedkp07GlGxbLaskv34GVyQPTwB7Q2HUW6yA+p4PJyghgpRmDXvMTyCJuiPWPCXka0Epd+UgIB20xF88tR7sn07bXUo1KoB2GHK06POrnA/2n+P2v/7r2jpdN3v8n1vw/vrEhFx0/L5xaAI3PgdduUa0HLBdpPsV9Ha1Imclivdz1nJHlfqka+OR2ba3Yi6SU5eVhK4hIYDb8ovuOrEHyBBPRaImIV5TzwI2N/DkVPSk0u6R3Zjtb4JMx+5BzNUKkTc8xAem9kE/erdMAVBbzgdQaXNeTyCBKQ3XBMOdYWfwhCWVAC90R06dIZ2v5aQh9OSlqfzkPC1MESXWVxvwu2wHn0JOkUoRKMrg8FiZ2/TsFpVhYj7noAuUXLu0P2QBKCeOwNTvJ8w9hpUHvqD3JMkdFzGBaihjZuGyGHVkYUPnsANXL1rKX6ZPFW2r0qdguc2LofkCnp+rqPtmAFV72QjNlwaGrAHhq571zMlz3xAYEw81r29A8XbtyG/pzEAjENM+tNIj1G6ewLazcdQhVSkJUz0gRKhVYS96k0capbCwTfQcfkSgFmIu1N6crl7wtWYOfEbzuegG439I3z8xy/dZwH73/sxHbCKUrHRTECAo7kKq7RJWNgVfgJgKkF2ihbzy7xDUN4srqPNUARtai72KUIh9n15yJi/BYfd3ffe2XjuYwLS+M19+Pftx6DNr4Zp2wJMlZ8wKkQlPIxM+QerCfuyf4pVZVXYW7EfjctexKsrE9hj5GNL+K64sfiWeqLix02F28dPxO2SgNREzP62qytfOIPa3e6xt9LQgBXISIlFjK4SzQ4G/n1nD6+Sbh+PybIxvK73eup0WMCwcK90er84EQlpqc4XH7se2clrUHaoChVVZ7Cs4tdYGT8BEC7i7CdSz+ztmDLByxHEn9F47q+9Fx1AV+kIBpAxQlYVwYoDawtlJ069bC8+6+iEKF6Drf6X0MohqBewy+KAOn0XvjKXQo4uzyyF+SsRreviMabrR+gxlJr/KodCOs9XI0uOYP1fnLngOWkhZDkPa8WliUFPIDYlGyWm0zCV7EZFnbs3F0CUFhtN1ciXw4pN2Je3DNkN8dix/seYFcHH0LCaxqeFX8WZTxtwGrORlZOCaJfphNYPsb9O8RbmkmnftxzJm0zwGlbvU41YWD8JyA7LbQwL9xOXM5kKUcnPwVRdCK10wb4PeQt/gYbEIqxf9F3nC6zwN1w63bPtO/Ofxskz/91j/OaAVPBDYj6B/QCZIm5NoPtHZCE2r1/scgzGQp28Chvz4wG8g13vn775zaSahaxaG8TOPUg6b4TBsAeFS1dDL9+bHfjiytVbK8BvfUBAGg96BC31FS5nrw4lGUuxyXjRVbYKEZrZSMvMQe6yBc43bNOLyNA+C70cbvGBCixi+AkIZ3Fi/wmos36FFxbc2dVTqIrJQq08JrATHS3vo7oi3/nDKf12lhzAMeVYwuHXkhJ6ISA/ZxvnMizcC5tbX4qAZvbDyCxci2VLpPHPUo93BrSrqkZNbzcdwVu3AH7rBwJCxyXnuL+ZibhnxjiFxHEYP9k5eux04zl8ofjG87AdzfpsaMI1SFiQgYyMFSiRJibIn0hMHq8s0zMnz3xJIAoxyVkorjmMUrnnz4Lqj8/JDrxgP4qi+T/Epkvz8KvK/bDIvb3SM1WP7LWHYGX00JeGGKayrqPt8A5suJ6DNzb/yBX29xalQkSMFulZxajvmljSgjM2vox5k/Lv+VW0nngPjQwLDxD7ddiNmzA/thyXMn6Jyqr3UF+YKpdh31eItQesEFTfwMSZvQ7UBDATD874FgJ9LiQdwQE2Cyb3PQFV5ERnuPd0Az49o/zBuIorX3TIAmfG3YnJNxEtWA9hbbYedqQiv+IgDptt6OyaoXyTTLw8fAQiErBCnlDgHjx9Fa3v7sGLpjvwWJIUTlH29koTfy6hg47g8NnDRyULbW/j+fy/Y/OrzyJZmj3Zx6drYon6X3D/d/o9kK2PUvn1oAjIPbltDAsPFJ5wBu8W74ZpphZJ90wAVFOR/FyBa4KOHacv/Q2CahKm36sB8CUuXP6b1+TEOxB35z8MVKrf09MR9DtyCvQmoIr+PhanSm9UB7Fhy35Xd7v0JrYTm0osAB7DyqSZN3mrEuA434pGqVD1d/BA2uN4Iv6b+MsHb+MdeXqxtzSe+5SAtH5Wdhw0HpMC3BMK5mDxnOlQSbPsLnn3507AXQ8kOFWZORGRfBL51Cw+L0xaBzKrDg++/RKyZrlmogrncKTypDz+T2gzIFvjvdC0sx18k71QPjfHQAtkWHigxFzpexv/F/UdPPCINFLd/aLrnlDicgyVooLkJYiPX6XReDwyBFQxWLQ1Tx5TJA0uvysyHGFht0GT8kuYpOVFSp93zs4C0N176F4+5ncYF5uAefLEkJ3ImHabK28NoJVuVo4RHFajChdx5ngT5EkBq15Fg7SbiNCGD6ob8GDF81gUI4Xlb0ds0uPQwoTyV+qci0w7mvHukZPS1FMUFqR1TToYVl1Z+OAIyIvlZiOvbjey7xrftbtCWHgGPrwjVl6PTrhwBsftroWmCw2wSjOFHU3YdyACezdquWbd4Mj3mUv4yzl8Jq9O0ltvlDs7w8JuEgP+P2YmklY+BpyuxCu/kRa+l1a4MOLI0dOANgcF82ZAJa2Kqs3BjqzZOH30U5wRBDg+/QDvnJ6NrB050AbDwt0iPyFJAJAm1/r585VZLJ0JEdCKpeYOL+GdYkfL++LB0mWiGlIaiNDmixX1LaJHyk6beKrcnUYtaktPiR3iNdFm3ifma9Vd+faaPxfPV+fI5+r8evGK+JVoc51jWbVo85I+XKcjwnm4KtNruV7soRa1+a+Jh802sdMjvZSuWixdNttpI0BULysVq3uk88g0ak6Ctx38VTSXPtZlM/m+dN+fWChWtPzdZaMrYkt1oah1f6deJpYefF9s6fBsBcFo0IC0Xdez1PWsdHPv7dna+ZlYkfp9Mb/+i4DHH5CsO22iubpUXKZ2s54tLiutFs22a548Oz4Tq/NTnfeK1P7rvH67PFOP6Jk35zBJmwF7ycwQ9ASkvX9p+uE3IzkPP+NgkMB2EAxW6l1H2q53LsNxlayHg2rPMr05MzTckxGvkAAJkAAJkAAJkEBIEKAjGBJmZiVJgARIgARIgARIoCcBOoI9mfAKCZAACZAACZAACYQEATqCIWFmVpIESIAESIAESIAEehKgI9iTCa+QAAmQAAmQAAmQQEgQoCMYEmZmJUmABEiABEiABEigJwE6gj2Z8AoJkAAJkAAJkAAJhAQBOoIhYWZWkgRIgARIgARIgAR6EqAj2JMJr5AACZAACZAACZBASBCgwn7C2QAAAHBJREFUIxgSZmYlSYAESIAESIAESKAnAW4x15PJqL8ibS/DDwmQAAmQAAmQQGgSUG4xOyY0EYR2rZUNILRJsPYkQAIkQAIkENoEGBoObfuz9iRAAiRAAiRAAiFMgI5gCBufVScBEiABEiABEghtAv8PpHOIv39Vj1IAAAAASUVORK5CYII="></p>
</div>
<div class="specification">
<p>A boy is chosen at random.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the number of boys who answered questions in Portuguese.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Find the probability that the boy answered questions in Hindi.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two girls are selected at random.</p>
<p>Calculate the probability that one girl answered questions in Mandarin and the other answered questions in Hindi.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the following numbers in increasing order.</span></p>
<p><span>\(3.5\), \(1.6 \times 10^{−19}\), \(60730\), \(6.073 \times 10^{5}\), \(0.006073 \times 10^6\), \(\pi\), \(9.8 \times 10^{−18}\).</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the median of the numbers in part (a).</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>State which of the numbers in part (a) is irrational.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question">
<p><span>Complete the following table of values for the height and weight of seven students.</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The distribution of the weights, correct to the nearest kilogram, of the members of a football club is shown in the following table.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>On the grid below draw a histogram to show the above weight distribution.</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the mid-interval value for the \(40 - 49\) interval.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find an estimate of the mean weight of the members of the club.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down an estimate of the standard deviation of their weights.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">A random sample of 200 females measured the length of their hair in cm. The results are displayed in the cumulative frequency curve below.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the median length of hair in the sample.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the interquartile range for the length of hair in the sample.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Given that the shortest length was \(6{\text{ cm}}\) and the longest \(47{\text{ cm}}\), draw and label a box and whisker plot for the data on the grid provided below.</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">The cumulative frequency curve shows the percentage marks, given correct to the nearest integer, gained by 500 students in an examination.</span></p>
<p><br><img src="data:image/png;base64,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" alt></p>
<p><span style="font-size: medium; font-family: times new roman,times;"> </span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">The passing grades were determined as given below.</span></p>
<p style="text-align: center;"><span style="font-size: medium; font-family: times new roman,times;">85 to 100 %, grade A</span></p>
<p style="text-align: center;"><span style="font-size: medium; font-family: times new roman,times;">66 to 84 %, grade B</span></p>
<p style="text-align: center;"><span style="font-size: medium; font-family: times new roman,times;">57 to 65 %, grade C</span></p>
<p style="text-align: center;"><span style="font-size: medium; font-family: times new roman,times;">50 to 56 %, grade D</span></p>
<p><span style="font-size: medium; font-family: times new roman,times;">Those scoring less than 50 % failed the examination.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the number of students who failed the examination.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the number of students who were awarded grade C or better.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The top 20 % of the students are eligible for further study.</span></p>
<p><span>Find the lowest mark required to be eligible for further study.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">There are \(120\) teachers in a school. Their ages are represented by the cumulative frequency graph below.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the median age.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the interquartile range for the ages.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Given that the youngest teacher is \(21\) years old and the oldest is \(72\) years old, represent the information on a box and whisker plot using the scale below.</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The diagram below shows the cumulative frequency distribution of the heights in metres of \(600\) trees in a wood.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the median height of the trees.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate the interquartile range of the heights of the trees.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Given that the smallest tree in the wood is \(3{\text{ m}}\) high and the tallest tree is \(28{\text{ m}}\) high, draw the box and whisker plot on the grid below that shows the distribution of trees in the wood.</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">Consider the following set of data which is plotted on the scatter diagram below.</span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
<p><span style="font-family: times new roman,times; font-size: medium;"><img 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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the coordinates of the mean point \((\bar x{\text{, }}\bar y)\).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the value of \(r\), the Pearson’s product-moment correlation coefficient for this set of data.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Draw the regression line for \(y\) on \(x\) on the set of axes above.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A group of students were asked how long they spend practising mathematics during the week. The results are shown in the following table.</p>
<p><img 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" alt></p>
<p>It is known that \(35 < a < 52\) .</p>
<p>Write down</p>
<p>i) the modal class;</p>
<p>ii) the mid-interval value of the modal class;</p>
<p>iii) the class in which the median lies.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>For this group of students, the estimated mean number of hours spent practising mathematics is \(2.69\).</p>
<p>Calculate the value of \(a\) .</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The cumulative frequency graph shows the amount of time in minutes, 200 students spend waiting for their train on a particular morning.</span></p>
<p style="text-align: center;"><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the median waiting time.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Find the interquartile range for the waiting time.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Draw a box and whisker plot on the grid below to represent this information.</span></p>
<p><span><img src="data:image/png;base64,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" alt></span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">Two groups of <span class="s1">40 </span>students were asked how many books they have read in the last two months. The results for <strong>the first group </strong>are shown in the following table.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2015-12-20_om_13.30.36.png" alt></p>
<p class="p1">The quartiles for these results are <span class="s1">3 </span>and <span class="s1">5</span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Write down the value of the median for these results.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Draw a box-and-whisker diagram for these results on the following grid.</p>
<p class="p1"><img src="images/Schermafbeelding_2015-12-20_om_13.33.23.png" alt></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The results for <strong>the second group </strong>of <span class="s1">40 </span>students are shown in the following box-and-whisker diagram.</p>
<p class="p1"><img src="images/Schermafbeelding_2015-12-20_om_13.36.13.png" alt></p>
<p class="p1">Estimate the number of students <strong>in the second group </strong>who have read at least <span class="s1">6 </span>books.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">120 Mathematics students in a school sat an examination. Their scores (given as a percentage) were summarized on a cumulative frequency diagram. This diagram is given below.</span></p>
<p style="text-align: center;"><span style="font-family: times new roman,times; font-size: medium;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Complete the grouped frequency table for the students.</span></p>
<p><img 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" alt></p>
<p> </p>
<p> </p>
<p> </p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the mid-interval value of the \(40 < x \leqslant 60\) interval.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Calculate an estimate of the mean examination score of the students.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>In a high school, 160 students completed a questionnaire which asked for the number of people they are following on a social media website. The results were recorded in the following box-and-whisker diagram.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>The following incomplete table shows the distribution of the responses from these 160 students.</p>
<p><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the median.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the table.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the mid-interval value for the 100 < <em>x</em> ≤ 150 group.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the table, calculate an estimate for the mean number of people being followed on the social media website by these 160 students.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-size: medium; font-family: times new roman,times;">A cumulative frequency graph is given below which shows the height of students in a school.</span></p>
<p style="text-align: center;"><span style="font-size: medium; font-family: times new roman,times;"><img src="data:image/png;base64,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" alt></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the median height of the students.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the 25<sup>th</sup> percentile.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the 75<sup>th</sup> percentile.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>The height of the tallest student is 195 cm and the height of the shortest student is 136 cm.</span></p>
<p><span>Draw a box and whisker plot on the grid below to represent the heights of the students in the school.</span></p>
<p><br><img 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1luMk+T5aY+6Sl8kwASphECiWA5kAASwXIg0SwgASSABJAQmQAJIOEXkAAShhECCSAhNQcSQEJoAiTkJkACSBiaAwkgESogASSABJAQmQAJIOHXyNCwV6vv2t3b393bD5YnN9PBwkLhMJPdkZvMz9/bzmQjMleabGey8/P35CaZ7E6hcGgYYaRp6iKMxabk5lbSXFt7urb2NCJzK2laecq6JmQlTV2EyjRt3cPu95SeDAhtNaFIBwR9T3lZKJreQ50JkAASijYhNwcSQEKYJpB4ryGhLPcqCJaz3CSPsH8m0Sw3mT9llpss3MNeDAgsNwULgwISQAJIAAmRCZAAEn4BCSBhGCGQABJScyABJIQmQEJuAiSAhKE5kAASoQISQAJIAAmRCZAAEn4BCSBhGCGQABJScyAxoJDYDewuu8tW4WwVLjZ5xFbhbBUuM2ercGVPGYCtwo9V4tAhDh0SmnDoEIcOCc05dGhQDx1SlrPcdMxyk8yE5SbzNFlu6pOewnKTQkACSBhGCCSAhNQcSAAJoQmQkJsACSBhaA4kgESogASQABJAQmQCJICEX0ACSBhGCCSAhNQcSAAJoQmQkJsACSBhaA4kgESoQiARi01xcXFxcV3KywIklOXMJJhJCE2YSTCTkJozkxjQmYSyHEgACaEJkAASUnMgASSEJkBCbgIkgIShOZAAEqECEkACSAAJkQmQABJ+AQkgYRghkAASUnMgASSEJkBCbgIkgIShOZAAEqEKgcSxSuwCyy6wQhN2gWUXWKE5u8AO6i6wu6oN6zlPgvMkhCaPOE+C8yRk5pwnoewpA3CehLKc5aZjlptkJiw3mafJclOf9BSWmxQCEkDCMEIgASSk5kACSAhNgITcBEgACUNzIAEkQgUkgASQABIiEyABJPwCEkDCMEIgASSk5kACSAhNgITcBEgACUNzIAEkQhUCCa9W37W7t7+7tx8sT26mg4WFwmEmuyM3mZ+/t53JRmSuNNnOZOfn78lNMtmdQuHQMMJI09RFGItNyc2tpLm29nRt7WlE5lbStPKUdU3ISpq6CJVp2rqH3e8pPRkQ2mpCkQ4I+p7yslA0vYc6EyABJBRtQm4OJICEME0g8V5DQlnuVRAsZ7lJHmH/TKJZbjJ/yiw3WbiHvRgQWG4KFgYFJIAEkAASIhMgAST8AhJAwjBCIAEkpOZAAkgITYCE3ARIAAlDcyABJEIFJIAEkAASIhMgAST8AhJAwjBCIAEkpOZAYkAhsRvYXXaXrcLZKlxs8oitwtkqXGbOVuHKnjIAW4Ufq8ShQxw6JDTh0CEOHRKac+jQoB46pCxnuemY5SaZCctN5mmy3NQnPYXlJoWABJAwjBBIAAmpOZAAEkITICE3ARJAwtAcSACJUAEJIAEkgITIBEgACb+ABJAwjBBIAAmpOZAAEkITICE3ARJAwtAcSACJUIVAIrmZ7vI1O3t7ff1ZN2tcX382O3v70qeZ3EzHYlNdrnFp+eHS8sNLn2ZPmtB7kiY9JdI0LUBCWc5MgpmE0ISZBDMJqTkziQGdSSjLgQSQEJoACSAhNQcSQEJoAiTkJkACSBiaAwkgESogASSABJAQmQAJIOEXkAAShhECCSAhNQcSQEJoAiTkJkACSBiaAwkgESogASSABJAQmQAJIOHXyNBwLDbFxcXFxXUpLwuQUJYzk2AmITRhJsFMQmrOTGJAZxLKciABJIQmQAJISM2BBJAQmgAJuQmQABKG5kACSIQKSAAJIAEkRCZAAkj4BSSAhGGEQAJISM2BBJAQmgAJuQmQABKG5kACSIQqBBJerb5rd29/d28/WJ7cTAcLC4XDTHZHbjI/f287k43IXGmyncnOz9+Tm2SyO4XCoWGEkaapizAWm5KbW0lzbe3p2trTiMytpGnlKeuakJU0dREq07R1D7vfU3oyILTVhCIdEPQ95WWhaHoPdSZAAkgo2oTcHEgACWGaQOK9hoSy3KsgWM5ykzzC/plEs9xk/pRZbrJwD3sxILDcFCwMCkgACSABJEQmQAJI+AUkgIRhhEACSEjNgQSQEJoACbkJkAAShuZAAkiECkgACSABJEQmQAJI+AUkgIRhhEACSEjNgcSAQmJ3bz94ZbI7mexOsDy5mQ4W5nL59Na23CQe//Lb776PyFxp8u1338fjX8pN0lvbuVzeMMJI09RFGItNyc2tpPno8cqjxysRmVtJ08pT1jUhK2nqIlSmaesedr+n9GRAaKsJRTog6HrK1l+3c6/k9/BlJvtSbmIHEscqFQqHhcJhsDy5mQ4WvnlzlMvl5Sb37z84ODiIyFxpcnBwcP/+A7lJLpd/8+bIMMJI09RFGItNyc2tpPn8+Yvnz19EZG4lTStPWdeErKSpi1CZZrvmVtK0cg97MiC01YQiHRC0PeVVO/eweFgoqiLUmLDcxHKTXyw3BctZbjJPk+WmPukpfJMAEqYRAolgOZAAEsFyINEsIAEkgASQEJkACSDhF5AAEoYRAgkgITUHEkBCaAIk5CZAAkgYmgMJIBEqIAEkgASQEJkACSDh18jQcHIz3eVrdvb2+vqzbta4vv5sdvb2pU8zuZmOxaa6XOPS8sOl5YeXPs2eNKH3JE16SqRpWoCEspyZBDMJoQkzCWYSUnNmEgM6k1CWAwkgITQBEkBCag4kgITQBEjITYAEkDA0BxJAIlRAAkgACSAhMgESQMIvIAEkDCMEEkBCag4kgITQBEjITYAEkDA0BxJAIlQhkDhWiV1g2QVWaMIusOwCKzRnF9hB3QV2V7VhPedJcJ6E0OQR50lwnoTMnPMklD1lAM6TUJaz3HTMcpPMhOUm8zRZbuqTnsJyk0JAAkgYRggkgITUHEgACaEJkJCbAAkgYWgOJIBEqIAEkAASQEJkAiSAhF9AAkgYRggkgITUHEgACaEJkJCbAAkgYWgOJIBEqIAEkAASUUHi4OC/lCbprW3zCIFEsBBI9AASXFxcXFyX8opwJhGpdC8O0Un3fhSpup+mK35xsCjd+1Gk6n6aPWlC70ma9JToBCSkoulHp35u+hYFJKITPSU6AQmpaPrRqZ+bvkUBiehET4lOQEIqmn506uemb1FAIjrRU6KTBUj0RIVC4eTkpMuVdr8Vvnt3/D6kWS7/XC7/3OVKu5/myclJ99Psvk5OTgqFQpcrLZd/7n5P6b560lOE6jtIIIQQ6h8BCYQQQloBCYQQQloBCYQQQloBCYQQQloBCYQQQloBCYQQQloBCYQQQloBCYQQQlp94LpOtbT1p4Wb4x8u5M/q5afl3O9nRodHhoZHJuIbpUr9H5yjxGde+dDYtYVcte0aK6XUHxanr3zcXFtd1dzixJWZxE+BMK7MLGXLTtuVeSGrEqzrXX7h05HpRLnxP3+9cetKbTfdieV8tcNatZmq/SPN9PQo8cV4bX/gTxfz7y6MxEqNTf80NFy/vU45uzx9ZWRoeHz696/Kpx1k6LquWy2l/rgwM/rJYj7Q+mr/NDwy9PlG2QtIk3vbUmXafAO9a3Kl5LhuhJk2p+NdN1ZLJ/5gOm63yntbLW7MTXrOLek45VdLN8eHhkdGby7nOm2zrqtpRU61lLgzMTYyFOgU3cjUV6OVTFUDgq5GC+32tJz/pnYDJ+ae5JuzUTZO7RD0gXuWX/xweGRoeKTpCTlHL+7GE6Wq41Z/WJ2+Um/6rvsuv3DzTupt+xHXdJZf+HhoeGRoWAGJ2rP/6BwSTjW/fG301mqx4lZzixNXP0u87uTxqBI81/mTaEDCqeaXr8+lKn6XDqpVZqr0jzjTam5x8qtUxWdpI1PtvT0tp+avDV2ZWUjk662wmlucuDqz8kPVfZdf+HT8VuKokySr+YVPRoaGR4b8kHDKybsTY+PTCxtN/UGTe/tSdpPS+t2VH86DeJua+9X1laLjRpmpU3wS/6ZYGxadSio+XuubVtqt8t6+Tc1dHZmYT5VP3WpucWLsfDR4l1/4dHz6SbF6Vs0vXxv9YuOoUxYqW1EldWd07Fo8WXacan752tBY7d5Gm+mvrs0lSlXHKSfvTnx0XqOdTFUDgq5GG+22krp76/evyqe1MbwetrpxXjQEectN1fzCJ6ox1HXdk9LKjQYkKqk7n9aB0anO8osfBiFxepSY+83C/D83IPE2NXd1vNYanEoqPj4a7/SuqRN0jhK/+Zd/e/Drj5og8TY193nt1cxcikyV/pFm6lRSX/1TvfGFRGKnxmp++drQ5N1U89jYmlcldWf0asdvG2f5hY99kKjmFic+uhZPtr7m6XLvTBd0Ey8j76U+4kwbasKSvXYbqPGnjel6B6nmFz6pjQYteTU34M4UuLflxEx9KDjLL344Fnmm5cRM4z+bHqLFTH0Dgq5GC+3WqaQePzm/S05p5XrtZuoa50VD0MWQqJSSyzMf3lotevfkpLRyw5u8rCa2Sh2vwyiGTqeafzizkKs2t4xK6s5oHRhenjc6bRyqBKu5xemH+errpj7g1TI8MjR5ZyWRKhlPJwKZqv0jzdQprk6OjQyNXZt7vJEq1bu+vUyDNb7euHVlZOLXMxNevYlS1am9kNZh7BRXJ5vem9pUYCDzZoSfzEx/0rJAqsm9U10AieaX+kgzbVIDSzbbrebeTt5JFKvV3OLk56vFSi3fxppe66tkJ9K1ovhG6V01v3x9+ok3f4ouU6e0cn2ogfOz/MLHQzdWS/9nM9PWAUFT44ntduvRyGsqmsZ54RB0ASR+2pj+KPhNwnXK+ReP70yMdb4aGBw6y8mv5r4pVp2W14cWzAb+sz0Fm+BR6l+/Wi1WWl+UPJ2W8/+5OjdptoTtuq52zuT3jzRT13Vd1ynn/2Nl7pr/M5KVTP01OqWV696Y4jrV4pOZ0eHxuVTF/Wlj+qOmW+H7z/bkH8ic4urkRzUa1SbXjfcgTe4d6AJINL/UR5lpQ81Y8mSn3apqrBRXbo03f/9wz8qJz5tuhe8/O5DyNe6H1ekrzV96zhVNptXc4sTY+TK9l/KN1VLVZqa+AUFd4/nrv7V261RS8Y9ry0qaxnnhEHTxTMKplv682LyeVVc1tzjR6fuR7045rzf+Za7m3yVInB4l5n5TW3QLQsLTu/zCp2YvRzpIBPyjh4TruuerQME5imGmvhp975hvU3NXRz5cyJ9FOXS2vAd5AfhuoC73tqS/t00v9d2CRDOWmmXabhU1OuVXS/G7K3/808LNce/jRFcg4ZSzy3Pzq4n1xemrgYVEN4JMG5/Kx6fnH9ReNU4jhIS6xuZ8bLTbam5x8rfnA7h9SLhu7cUw2EzPyonPVWOrQK13qv49p+WaTpRbF3Mbc7FO1Jpg/UNZy1Uf185VTswECw0y9avuH12mfv20MX216cdjgUgs1OiDxFk58fnIaDxV+VvLYm7LKnPbuhASXjrBzwCa3NuQ9l2q9aX+bYSZ1tWCpVaZtdtAje/yC5/W0qktAS3nq2ety9ZN3yo6VODeVnOLE7/yHqJzlPhsVPVCbTnTJnmfzRdyVf8CvVmmFwwIjRp9Mmy37/ILv22ab2ka54VDUDgkNM3xpLRyo8MPOBfcqeaZhPN649aV8ypOSis3DH6QekGCupmE65RWrnf+Adl13RBINPy7lKm3LPOr4EdUs0yVy031Bldfwz09SnxR72xOaeW6wVqBarlprN4a1R91NLm3I9299b3UR5lpTcG1pqZ/M2u3/hpb2nDjDcA5SnxWH1a85T6jVRH/vW0No3Ul/VyWM234HqXik/XlE5uZ6gaE1hpb/8mk3VaKK1991fL7EU3jvHAICoOEU361dPN8PatSSm2Xqk7tF7WT3sSzfQkh0fSrLKecvNvxD0NdVwwJp1ra9r6GOeXs8vSN1t/ntC/F7FLpH2Wm1VLK+/bllF8t3bpem7ZbzFT3yXE+VT5tSaf+2zvnKBWf7PSHoa6r/7h6N3XkNJurc+9Y2t/IffZha/eOMFOvytcbtz5paiQ2220AwI2nWRvLasNH/YehJ+XUvNFPYF1X8arhzR7iyWXn0HAAAAShSURBVLLj/bjZG5qjzNR1XdepllKrc5Mjo/Vf67g2M1X+ZidYo512e1pO/fty/f5Uf1iNr5ccXeO8aAj6oPGBurHk4r0veCWTd1ZStR8yNf6GpfX3722pnJhpXlNS/GvTuoFbKSXi17wwvu74j1iCCQb+tRZJ4w9Y/D+370CKTC/wjyrTxh8/jt5cTNSrtJWp5t42/kTI+4Ltqb4CO3Zt7psO24+3flWrUdlU6r+n0uVuNVP1lDrSTINv0LaeprpGp5x70vhjuuXN+s9Y6k+59W+12pfy3jb9LdjQlZmFP3uvpxFmWluFnryz8p/+R2Yl0+CAoKnRRrut/9agfjX9oYm6cWqHILblQAghpBWQQAghpBWQQAghpBWQQAghpBWQQAghpBWQQAghpBWQQAghpBWQQAghpBWQQAghpBWQQJdMp0eJL8Ylm195B1gaHaJ1Ws5/c3dhy/jgEaeSeni38afpCPWRgATqHzXvB9O0kUAldWdUcY60RkJIvE3NXRW4XVRROfVvM+dbgJjKzu5SCNkXkED9prepuauBsdvjh+GBED6FnDLmHO1s/Y+uOqeaX75usHOfSpXiym8/axyajVBfCEigflOfQOJdfmFOW51TXJ38tdVgorRFyEBAAvWb+gESF58IdtFxDuYhdXhMC0LRCEigfpMYEtXS5sLN8ZatpM8/R3/YvJN2pZRcnhlt2UXcdd0GJCq1jaDHp58Uq845Ic4/gSiOtVEeHVqvZfj81OKmYN4dvVq6OT40fH7MRm3z7fMam/I0P+oKIasCEqjfdP5JWXE1QaKaW5779/Ox+IfVae9crfP/b2OcdSqp+PnJzI1N9sfnUpXaCVyfL369U3Zqp9zUh3718XaeWs96dF3Xdd/lF2K1c5i9Y1cmV0pOPZjzUwFqB98v/ClVqrq1s3R8sLmoXoR6ISCB+k2SmYTvd1DNr/wnpZUbTZBoPdS3krozWj9MtHW5SXIGauOfWiFRSd1pzF28cxu9n1cpgtHV2LDyEwihXgpIoH6TBBLKBR9PoZCoTxdsQcKppOLj6jWiziAxpkkNoR4ISKB+kxASwf+NJ9+47J1B7R0gfFpOzTd9jrYKiaH6BOWCYJhJoMETkED9JvlyU/MhvU51bzuvWG5yXbdS/Hrh7mzwjOIOIREcx53SyvWh4ZGJ+Ebj/OcfUvl/dAoJvkmgPhKQQP0m2a+bqrnFibHmc96vLeSqrhsYl51q/uFn6tWbi4bs8+nC36p7f04dnQb+j77Frnf5hU9bPpBMdPhNgl83oX4TkED9o/a25aj/kLTpJ7DNv4zyiBL8rdTYtblEqfLfq5NjjS/ePyUbVXj+zlEqPjkyNHk3FfyratXfSTjl/Ndz12r+K6lSxWNAI5jinrbGBhX4OwnUdwIS6HLLqRafzIwO+zhh+mWYv7hG742ABLrcqhQTf9gqt6wXOUd/frJl+GXYqeaXrwf+FM5Mp0eJ316vLZoh1C8CEugSy/tLuuaP1a5bLaVe5G1stnpaTs3b40SllPhqhl1gUf8JSKBLLaecf/H4Tv0T98Tcaqpk71XdqZYS1s6T+DoHIVAf6v8BiV775ySAF50AAAAASUVORK5CYII=" alt></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>The histogram shows the time, <em>t</em>, in minutes, that it takes the customers of a restaurant to eat their lunch on one particular day. Each customer took less than 25 minutes.</p>
<p>The histogram is incomplete, and only shows data for 0 ≤ <em>t</em> < 20.</p>
<p><img 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"></p>
</div>
<div class="specification">
<p>The mean time it took <strong>all</strong> customers to eat their lunch was estimated to be 12 minutes.</p>
<p>It was found that <em>k</em> customers took between 20 and 25 minutes to eat their lunch.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the mid-interval value for 10 ≤ <em>t</em> < 15.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the total number of customers in terms of<em> k</em>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the value of <em>k</em>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hence, complete the histogram.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="font-family: times new roman,times; font-size: medium;">The table shows the number of bicycles owned by 50 households.</span></p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Write down the value of</span></p>
<p><span>(i) <em>t</em> ;</span></p>
<p><span>(ii) <em>w</em> .</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span>Indicate with a tick (</span><span><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAPCAIAAABm5AhFAAAA5ElEQVQokWP4TxZgIFLd+/fv79+/T5q2Y0cmyrNyWbZMJUHb1HpXdR5Vi5IW4h35e1KNgSOLt355O5oEHm2/J9UYuDGZK2S3YMrh1NZVru/PLC8YW/f682cC2vbv3w9h7NuckaHFwulWvObufayGQrVdvjg33oKDQdhbr2bCg7tLcqxYGUyK45eux+UWhG1d5frBogwMxtl+brziDG5S8WW49KA58ktDtIgkAwMDAwOTY+n2l6+J1PZ//6bYTDEGBgYfvbqpuDRg0fb16zkvBRHzqr7379+ToO3////ICY8EbUQCAMRdzWFSum9AAAAAAElFTkSuQmCC" alt>) whether the following statements are True or False.</span></p>
<p><img src="data:image/png;base64,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" alt width="593" height="180"></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In a school 160 students sat a mathematics examination. Their scores, given as marks out of 90, are summarized on the cumulative frequency diagram.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Write down the median score.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The lower quartile of these scores is 40.</p>
<p>Find the interquartile range.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The lowest score was 6 marks and the highest score was 90 marks.</p>
<p>Draw a box-and-whisker diagram on the grid below to represent the students’ examination scores.</p>
<p><img src="data:image/png;base64,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" alt></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br>