File "statistics-probability-exam-questions.html"
Path: /StudyIB/mathsapplications/page/3021/statistics-probability-exam-questionshtml
File size: 86.01 KB
MIME-type: text/html
Charset: utf-8
<!DOCTYPE html><html lang="EN"><head> <script>(function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start': new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0], j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src= 'https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f); })(window,document,'script','dataLayer','GTM-PZBWZ8J');</script> <title>Statistics & Probability Exam Questions</title><!-- Removed by WebCopy --><!--<base href="/">--><!-- Removed by WebCopy --><meta http-equiv="x-ua-compatible" content="IE=Edge"><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1"><link href="../../../css/bootstrap.flatly.min.css" rel="stylesheet" media="screen"><link rel="stylesheet" href="../../../fonts/awesome/css/font-awesome.min.css"><link href="../../../js/jquery-fancybox/jquery.fancybox.min.css" type="text/css" rel="stylesheet"><link rel="stylesheet" href="../../../css/style.min.css?v=202301301645"><meta name="robots" content="index, follow"><meta name="googlebot" content="noarchive"><meta prefix="og: http://ogp.me/ns#" property="og:title" name="og:title" content="StudyIB Maths: Applications & Interpretations SL: Statistics & Probability Exam Questions"> <meta prefix="og: http://ogp.me/ns#" property="og:image" content="https://studyib.net/img/studyib-card-default.jpg"> <meta prefix="og: http://ogp.me/ns#" property="og:description" name="og:description" content="The following are exam style questions for the sub-topics in the functions unit. There are questions with video solutions here for here for Statistical concepts, cumulative frequency and box plots, central tendency and dispersion, bivariate..."> <meta prefix="og: http://ogp.me/ns#" property="og:url" name="og:url" content="https://studyib.net/mathsapplications/page/3021/statistics-probability-exam-questions"> <meta prefix="og: http://ogp.me/ns#" property="og:site_name" name="og:site_name" content="StudyIB - Your IB learning companion"> <meta prefix="og: http://ogp.me/ns#" property="og:locale" name="og:locale" content="en"> <meta prefix="og: http://ogp.me/ns#" property="og:type" name="og:type" content="website"> <meta name="description" content="The following are exam style questions for the sub-topics in the functions unit. There are questions with video solutions here for here for Statistical concepts, cumulative frequency and box plots, central tendency and dispersion, bivariate..."> <meta name="image" content="https://studyib.net/img/studyib-card-default.jpg"> <meta name="keywords" content="IB, IBDP, InThinking, International Baccalaureate, Revision, Revision websites, Student Sites, Students, Learning, Guidance, Exam, Questions, Practice problems, Diagnose, Help, Notes"> <meta itemprop="name" content="StudyIB Maths: Applications & Interpretations SL: Statistics & Probability Exam Questions"> <meta itemprop="description" content="The following are exam style questions for the sub-topics in the functions unit. There are questions with video solutions here for here for Statistical concepts, cumulative frequency and box plots, central tendency and dispersion, bivariate..."> <meta itemprop="image" content="https://studyib.net/img/studyib-card-default.jpg"> <meta name="twitter:card" content="summary_large_image"> <meta name="twitter:title" content="StudyIB Maths: Applications & Interpretations SL: Statistics & Probability Exam Questions"> <meta name="twitter:description" content="The following are exam style questions for the sub-topics in the functions unit. There are questions with video solutions here for here for Statistical concepts, cumulative frequency and box plots, central tendency and dispersion, bivariate..."> <meta name="twitter:image" content="https://studyib.net/img/studyib-card-default.jpg"> <meta name="twitter:creator" content="@inthinker"><link rel="stylesheet" href="../../../css/snippets.min.css?v=202209111300"><link rel="stylesheet" href="../../../css/article.min.css?v=202211221000"><style type="text/css">.filter-hl-only { display: none; }</style><script src="../../../js/ifvisible.min.js"></script><script>ifvisible.setIdleDuration(300);</script><link rel="apple-touch-icon-precomposed" sizes="57x57" href="../../../img/favicon/apple-touch-icon-57x57.png"> <link rel="apple-touch-icon-precomposed" sizes="114x114" href="../../../img/favicon/apple-touch-icon-114x114.png"> <link rel="apple-touch-icon-precomposed" sizes="72x72" href="../../../img/favicon/apple-touch-icon-72x72.png"> <link rel="apple-touch-icon-precomposed" sizes="144x144" href="../../../img/favicon/apple-touch-icon-144x144.png"> <link rel="apple-touch-icon-precomposed" sizes="60x60" href="../../../img/favicon/apple-touch-icon-60x60.png"> <link rel="apple-touch-icon-precomposed" sizes="120x120" href="../../../img/favicon/apple-touch-icon-120x120.png"> <link rel="apple-touch-icon-precomposed" sizes="76x76" href="../../../img/favicon/apple-touch-icon-76x76.png"> <link rel="apple-touch-icon-precomposed" sizes="152x152" href="../../../img/favicon/apple-touch-icon-152x152.png"> <link rel="icon" type="image/png" href="../../../img/favicon/favicon-196x196.png" sizes="196x196"> <link rel="icon" type="image/png" href="../../../img/favicon/favicon-96x96.png" sizes="96x96"> <link rel="icon" type="image/png" href="../../../img/favicon/favicon-32x32.png" sizes="32x32"> <link rel="icon" type="image/png" href="../../../img/favicon/favicon-16x16.png" sizes="16x16"> <link rel="icon" type="image/png" href="../../../img/favicon/favicon-128.png" sizes="128x128"> <meta name="application-name" content="StudyIB: Your IB Learning Companion"> <meta name="msapplication-TileColor" content="#A5BED5"> <meta name="msapplication-TileImage" content="/img/favicon/mstile-144x144.png"> <meta name="msapplication-square70x70logo" content="/img/favicon/mstile-70x70.png"> <meta name="msapplication-square150x150logo" content="/img/favicon/mstile-150x150.png"> <meta name="msapplication-wide310x150logo" content="/img/favicon/mstile-310x150.png"> <meta name="msapplication-square310x310logo" content="/img/favicon/mstile-310x310.png"><script>var stdHash = "6da675cbcb3d25f050b05557349abc79", stdTicket = "082b9c9c4ae3624d";</script><script src="../../../js/user/local-stats.min.js?v=202205311700"></script><link href="../../../css/subjects-frontpage.min.css?v=202302031000" rel="stylesheet"></head><body class="public mathsapplications"> <noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-PZBWZ8J" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript> <div id="top-header"> <div class="wmap general hidden-sm hidden-xs subjects"> <div class="layout-wrapper"> <div class="container-fluid"> <a href=""> <img class="header-thinker" src="../../../img/header-thinker.svg"> </a> <h1> <a href="../../../mathsapplications.html"> <span style="font-family: 'Helvetica Narrow','Arial Narrow',Tahoma,Arial,Helvetica,sans-serif;font-stretch: condensed;letter-spacing: -1px">IBDP Maths: Applications & Interpretations SL</span> </a> <a href="https://inthinking.net" title="inthinking.net" class="inthinking-logo pull-right"> <img src="../../../img/header-logo.svg" style="height: 80px; width: auto;"> </a> </h1> <p class="slogan">InThinking Revision Sites for students</p> <p class="author">Website by <strong>Jim Noble, Rebecca Baker & Dan Pearcy</strong></p> <p class="updated">Updated 3 February 2023</p> </div> </div> </div> <nav id="public-topnav" class="navbar navbar-default"> <div class="container-fluid"> <div class="navbar-header"> <a class="navbar-brand hidden-md hidden-lg" href="../../../index.htm"> <img class="header-xs-thinker" src="../../../img/header-thinker.svg"> </a> <button type="button" class="collapsed navbar-toggle" data-toggle="collapse" data-target="#subject-navbar-collapse" aria-expanded="false"> <span class="sr-only">Toggle navigation</span> <i class="fa fa-fw fa-2x fa-user"></i> </button> <div class="brand hidden-lg hidden-md hidden-sm"> <a class="brand-xs" href="../../../mathsapplications.html"> <strong class="title" style="white-space: nowrap;font-size: 18px;">Maths: A&I (SL)</strong> </a> </div> </div> <div class="collapse navbar-collapse" id="subject-navbar-collapse"> <ul class="nav navbar-bar navbar-userbox hidden-md hidden-lg"><li class="dropdown"><a href="#" class="dropdown-toggle" data-toggle="dropdown"><i class="fa fa-fw fa-lg fa-user-circle" style="margin-right: 5px;"></i><span style="font-size: 16px;"></span></a><ul class="dropdown-menu"><li class="dropdown-submenu"><a class="dropdown-toggle" href="#" data-toggle="dropdown"><i class="fa fa-fw fa-globe"></i> Subjects</a><ul class="dropdown-menu"><li></li><li class=""><a href="../../../biology.html">DP Biology</a></li><li class=""><a href="../../../chemistry.html">DP Chemistry</a></li><li class=""><a href="../../../englishalanglit.html">DP English A: Language & Literature</a></li><li class=""><a href="../../../mathsanalysis.html">DP Maths: Analysis & Approaches</a></li><li class="active"><a href="../../../mathsapplications.html"><i class="fa fa-caret-right"></i> DP Maths: Applications & Interpretations SL</a></li><li class=""><a href="../../../physics.html">DP Physics</a></li><li class=""><a href="../../../spanishb.html">DP Spanish B</a></li></ul></li><li class="menu-item"><a href="../../../user.html"><i class="fa fa-fw fa-dashboard"></i> Dashboard</a></li><li class="menu-item"><a href="../../../user/profile.html"><i class="fa fa-fw fa-cog"></i> My profile</a></li><li class="menu-item"><a href="../../../user/messages.html"><i class="fa fa-fw fa-envelope"></i> Messages</a></li><li class="menu-item hidden-md hidden-lg mt-xs-3"><a href="../../../index.htm?logout=1" class="btn btn-primary btn-xs-block"><i class="fa fa-fw fa-lg fa-power-off text-danger"></i>Log out</a></li></ul></li></ul> <ul class="nav navbar-bar"><li class=""><a class="home" href="../../../mathsapplications.html"><i class="fa fa-fw fa-home"></i> Home</a></li><li class=""><a class="topics" href="#"><i class="fa fa-fw fa-th-large"></i> Topics</a></li><li class=""><a class="favorites" href="../../../mathsapplications.html"><i class="fa fa-fw fa-star"></i> My favorites</a></li><li class=""><a class="qbank" href="../../test-your-knowledge.html"><i class="fa fa-fw fa-question"></i> Question bank</a></li><li class=""><a class="" href="../../blogs.html"><i class="fa fa-fw fa-paperclip"></i> Blog</a></li><li class=""><a class="sitemap" href="../../sitemap.html"><i class="fa fa-fw fa-sitemap"></i> Sitemap</a></li><li class=""><a class="activity" href="../../../mathsapplications.html"><i class="fa fa-fw fa-calendar-check-o"></i> My activity</a></li></ul> <ul class="nav navbar-bar navbar-right"> <li> <form class="navbar-form hidden-md hidden-lg" role="search" method="get" action="mathsapplications/search"> <div class="input-group"> <input class="form-control nav-search" name="glob" type="search" placeholder="Search..."> <span class="input-group-btn"> <button type="submit" class="btn bg-blue"> <i class="fa fa-search"> </i> </button> </span> </div> </form> <a href="#" class="toggle-menu-search hidden-sm hidden-xs" data-toggle="dropdown"> <i class="fa fa-lg fa-search"></i> </a> </li></ul> </div> </div></nav><nav id="nav-menu-search" class="shadow-bottom hidden-sm hidden-xs" style="display: none;"> <div class="container-fluid"> <form class="" role="search" method="get" action="mathsapplications/search"> <input class="form-control nav-search" name="glob" type="search" placeholder="Search Maths: A&I (SL)..."> <button class="btn btn-sm btn-primary" type="submit"> Search </button> </form> </div></nav><div class="modal fade" tabindex="-1" role="dialog" id="modal-mini-login"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-body"> <button aria-hidden="true" data-dismiss="modal" class="close hidden-xs login-button-close" type="button">×</button> <form method="post"> <div class="form-group"> <input name="user-email" class="form-control" type="text" placeholder="Email"> </div> <div class="form-group"> <input name="user-password" class="form-control" type="password" placeholder="Password"> <input name="user-fp" class="fp" value="d8c893da5db7501669ffeeac46273ba6" type="hidden"> </div> <div class="form-group"> <a href="../../../reset-password.html" class="reset-password" style="font-weight: normal;"> Forgot your password? </a> </div> <div class="form-group"> <button type="submit" name="submit-login" value="1" class="btn btn-primary btn-block text-center"> <i class="fa fa-user fa-fw"></i> Log in </button> </div> </form> </div> </div> </div></div></div><div class="modal fade" id="show-topics" tabindex="-1" role="dialog"><div id="dialog-topics" class="modal-dialog modal-dialog-topics"><div class="modal-content"><div class="modal-body modal-body-topics"><div id="new-frontpage-toplevels-topics" class="frontpage-box"><div class="row"><div class="col-md-4 col-sm-4"><div class="item"><a href="../3010/free-access-weekend.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Free Access Weekend!</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/free.jpeg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1053/start-here.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Start here</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/2022-01-09_13-28-49.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../3011/examination-questions.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Examination Questions</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/exam.jpeg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1094/practice-questions.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Practice Questions</h3></div><div class="body"><div class="cropper" style="background-image: url('../../../img/gen-pics/mathsapplications/08.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../2105/question-bank.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Question Bank</h3></div><div class="body"><div class="cropper" style="background-image: url('/media/mathsapplications/multiple-choice.png'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1054/your-graphical-display-calculator.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Your Graphical Display Calculator</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/gdc-4.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1057/number-and-algebra.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Number & Algebra</h3></div><div class="body"><div class="cropper" style="background-image: url('/media/mathsapplications/images/number-and-algebra-pic.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1061/functions.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Functions</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/dans-images/functions.png'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1070/geometry-and-trigonometry.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Geometry & Trigonometry</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/dans-images/trig.png'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1065/statistics-and-probability.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Statistics & Probability</h3></div><div class="body"><div class="cropper" style="background-image: url('/media/mathsapplications/images/prob.png'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1078/calculus.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Calculus</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/dans-images/calc.png'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../2800/pre-ib-preparation-.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Pre-IB Preparation</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/dans-images/pexels-keira-burton-6146978.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1082/exams-assessment.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Exams & Assessment</h3></div><div class="body"><div class="cropper" style="background-image: url('/media/mathsapplications/images/exams2.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../2928/for-teachers.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">For Teachers</h3></div><div class="body"><div class="cropper" style="background-image: url('../../georgia.png'); height: 10vw;"></div></div></a></div></div></div></div></div></div></div></div><div class="container-fluid shadow-ith"><div class="row frontpage"> <div class="col-md-3" id="left-column"> <p class="visible-xs-block"></p><div class="dropdown user-menu hidden-xs" style="margin-bottom: 20px;"> <button type="button" class="btn btn-default dropdown-toggle" data-toggle="dropdown" style="border-radius: 0; padding: 6px 18px;"> <i class="fa fa-fw fa-user-circle"></i> <small><i class="fa fa-caret-down"></i></small> </button> <ul class="dropdown-menu"> <li class="dropdown-submenu"><a href="#"><i class="fa fa-fw fa-globe"></i> Subjects</a><ul id="user-subjects-menu" class="dropdown-menu"><li></li><li class=""><a href="../../../biology.html">DP Biology</a></li><li class=""><a href="../../../chemistry.html">DP Chemistry</a></li><li class=""><a href="../../../englishalanglit.html">DP English A: Language & Literature</a></li><li class=""><a href="../../../mathsanalysis.html">DP Maths: Analysis & Approaches</a></li><li class="active"><a href="../../../mathsapplications.html"><i class="fa fa-caret-right"></i> DP Maths: Applications & Interpretations SL</a></li><li class=""><a href="../../../physics.html">DP Physics</a></li><li class=""><a href="../../../spanishb.html">DP Spanish B</a></li></ul></li><li class="divider"></li><li><a href="../../../user.html"><i class="fa fa-fw fa-dashboard"></i> Dashboard</a></li><li><a href="../../../user/profile.html"><i class="fa fa-fw fa-cog"></i> My profile</a></li><li><a href="../../../user/messages.html"><i class="fa fa-fw fa-envelope"></i> Messages</a></li> <li class="divider"></li> <li> <a href="../../../index.htm?logout=1"> <i class="fa fa-fw fa-power-off"></i> Log out </a> </li> </ul></div> <div id="side-nav"><h4 class="side-nav-title dropdown"><a href="../3011/examination-questions.html" class="dropdown-toggle toplevel-dropdown" data-toggle="dropdown"><i class="fa fa-ellipsis-v"></i></a> <a href="../3011/examination-questions.html">Examination Questions</a><ul class="dropdown-menu"><li><a href="../../../mathsapplications.html" style="padding-left: 5px; border-bottom: solid 1px #ddd"><i class="fa fa-fw fa-home"></i> Home</a></li><li><a href="../3010/free-access-weekend.html"><i class="fa fa-fw fa-caret-right"></i> Free Access Weekend!</a></li><li><a href="../1053/start-here.html"><i class="fa fa-fw fa-caret-right"></i> Start here</a></li><li><a href="../1094/practice-questions.html"><i class="fa fa-fw fa-caret-right"></i> Practice Questions</a></li><li><a href="../2105/question-bank.html"><i class="fa fa-fw fa-caret-right"></i> Question Bank</a></li><li><a href="../1054/your-graphical-display-calculator.html"><i class="fa fa-fw fa-caret-right"></i> Your Graphical Display Calculator</a></li><li><a href="../1057/number-and-algebra.html"><i class="fa fa-fw fa-caret-right"></i> Number and Algebra</a></li><li><a href="../1061/functions.html"><i class="fa fa-fw fa-caret-right"></i> Functions</a></li><li><a href="../1070/geometry-and-trigonometry.html"><i class="fa fa-fw fa-caret-right"></i> Geometry and Trigonometry</a></li><li><a href="../1065/statistics-and-probability.html"><i class="fa fa-fw fa-caret-right"></i> Statistics and Probability</a></li><li><a href="../1078/calculus.html"><i class="fa fa-fw fa-caret-right"></i> Calculus</a></li><li><a href="../2800/pre-ib-preparation-.html"><i class="fa fa-fw fa-caret-right"></i> Pre-IB Preparation </a></li><li><a href="../1082/exams-assessment.html"><i class="fa fa-fw fa-caret-right"></i> Exams & Assessment</a></li><li><a href="../2928/for-teachers.html"><i class="fa fa-fw fa-caret-right"></i> For Teachers</a></li></ul><div class="pull-right"><a class="sidenav-expand" title="Expand all" href="#"><i class="fa fa-plus-circle"></i></a> <a class="sidenav-compress" title="Compress all" href="#"><i class="fa fa-minus-circle"></i></a></div></h4><ul class="side-nav level-0"><li class=""><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="../3018/number-algebra-exam-questions.html">Number & Algebra Exam Questions</a></label></li><li class=""><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="../3019/functions-exam-style-questions.html">Functions - Exam Style Questions</a></label></li><li class=""><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="../3020/geometry-trigonometry-exam-style-questions.html">Geometry & Trigonometry Exam Style Questions</a></label></li><li class="expanded parent selected"><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="statistics-probability-exam-questions.html">Statistics & Probability Exam Questions</a></label></li><li class=""><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="../3022/calculus-exam-questions.html">Calculus Exam questions</a></label></li></ul></div> <div class="hidden-xs hidden-sm"> <button class="btn btn-default btn-block text-xs-center" data-toggle="modal" data-target="#modal-feedback" style="margin-bottom: 10px"><i class="fa fa-send"></i> Feedback</button> </div> </div> <div class="col-md-9" id="main-column"> <h1 class="page_title"> Statistics & Probability Exam Questions <a href="#" class="mark-page-favorite pull-right" data-pid="3021" title="Mark as favorite" onclick="return false;"><i class="fa fa-star-o"></i></a> </h1> <ol class="breadcrumb"> <li><a href="../../../mathsapplications.html"><i class="fa fa-home"></i></a><i class="fa fa-fw fa-chevron-right divider"></i></li><li><a href="../3011/examination-questions.html">Examination Questions</a><i class="fa fa-fw fa-chevron-right divider"></i></li><li><span class="gray">Statistics & Probability Exam Questions</span></li> <span class="pull-right" style="color: #555" title="Suggested study time: 180 minutes"><i class="fa fa-clock-o"></i> 180'</span> </ol> <article id="main-article"> <div class="greyBg"> <h2>Statistics & Probability Exam Questions</h2> <p><img alt="" src="../../images/sp-1.jpg" style="float: left; width: 200px; height: 116px;">The following are exam style questions for the sub-topics in the functions unit. There are questions with video solutions here for here for Statistical concepts, cumulative frequency and box plots, central tendency and dispersion, bivariate data and linear correlation, probability, discrete random variables, binomial distribution, normal distribution, spearman's rank and chi squared tests!</p> </div> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Statistical Concepts - Exam Style Questions</p> </div> </div> <div class="panel-body"> <p>The following questions are based on IB exam style questions from past exams. You should print these off (from the document at the top) and try to do these questions under exam conditions. Then you can check your work with the video solution.</p> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 1</p> </div> </div> <div class="panel-body"> <p dir="ltr" id="docs-internal-guid-05171221-7fff-abed-2445-3126902af9cb">A headteacher wants to find out in how many subjects students have Internal Assessments (IA). He conducts a survey:</p> <table align="left" dir="ltr" style="width:718px;"> <colgroup> <col> <col> <col> <col> <col> <col> <col> <col> </colgroup> <tbody> <tr> <td> <p dir="ltr">Number of subjects with IAs</p> </td> <td> <p dir="ltr">0</p> </td> <td> <p dir="ltr">1</p> </td> <td> <p dir="ltr">2</p> </td> <td> <p dir="ltr">3</p> </td> <td> <p dir="ltr">4</p> </td> <td> <p dir="ltr">5</p> </td> <td> <p dir="ltr">6</p> </td> </tr> <tr> <td> <p dir="ltr">Number of students</p> </td> <td> <p dir="ltr">15</p> </td> <td> <p dir="ltr">20</p> </td> <td> <p dir="ltr">20</p> </td> <td> <p dir="ltr">32</p> </td> <td> <p dir="ltr">30</p> </td> <td> <p dir="ltr">17</p> </td> <td> <p dir="ltr">16</p> </td> </tr> </tbody> </table> <div style="clear:both;"> </div> <ol style="list-style-type:lower-alpha;"> <li dir="ltr"> <p dir="ltr" role="presentation">State whether the data is discrete or continuous (1)</p> </li> <li dir="ltr"> <p dir="ltr" role="presentation">It was not possible to ask the whole school, so he conducts a survey. The school is 55% boys and 45% girls, so he makes sure his sample includes 55% boys and 45% girls. What type of sampling does he use? (1)</p> </li> <li dir="ltr"> <p dir="ltr" role="presentation">He then wants to investigate further, so asks all the students that are studying Geography. What type of sampling is this? (1)</p> </li> <li dir="ltr"> <p dir="ltr" role="presentation">The coursework marks of the students studying Geography are listed below. </p> <ol style="list-style-type:lower-roman;"> <li dir="ltr"> <p dir="ltr" role="presentation">Identify the outlier</p> </li> <li dir="ltr"> <p dir="ltr" role="presentation">By removing the outlier, calculate the new mean (3)</p> </li> </ol> </li> </ol> <table align="left" dir="ltr" style="width:718px;"> <colgroup> <col> <col> <col> <col> <col> <col> <col> <col> <col> <col> </colgroup> <tbody> <tr> <td> <p dir="ltr">45%</p> </td> <td> <p dir="ltr">39%</p> </td> <td> <p dir="ltr">46%</p> </td> <td> <p dir="ltr">29%</p> </td> <td> <p dir="ltr">39%</p> </td> <td> <p dir="ltr">43%</p> </td> <td> <p dir="ltr">42%</p> </td> <td> <p dir="ltr">48%</p> </td> <td> <p dir="ltr">39%</p> </td> <td> <p dir="ltr">41%</p> </td> </tr> </tbody> </table> <div style="clear:both;"> </div> <p dir="ltr" style="margin-left: 72pt; text-align: right;">(6 marks)</p> <p dir="ltr" style="margin-left: 72pt;">Video Solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/598249992?badge=0&autopause=0&player_id=0&app_id=58479&h=e71ab97965"></iframe></div> <script src="../../../api/player.js"></script><script src="../../../api/player.js"></script></section> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 2</p> </div> </div> <div class="panel-body"> <div> <p dir="ltr" id="docs-internal-guid-276ff59f-7fff-3f50-4a3f-d240eda5c594">A reservoir contains 3 types of fish. There are estimated to be 700 carp, 500 bass and 300 pike. A survey of the fish is taken, and a sample of 50 is used. </p> <p dir="ltr">a)Explain why a simple random sample would not be appropriate (1)</p> <p dir="ltr">b)Name a potential sampling method that could be used (1)</p> <p dir="ltr">c) Give one advantage and one disadvantage of this method (2)</p> <p dir="ltr">d) Explain briefly how you could conduct this survey (3)</p> <p dir="ltr" style="text-align: right;">(7 marks)</p> <p dir="ltr">Video Solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/594695468?badge=0&autopause=0&player_id=0&app_id=58479&h=c5eb816760"></iframe></div> <script src="../../../api/player.js"></script></section> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 3</p> </div> </div> <div class="panel-body"> <div> <p dir="ltr" id="docs-internal-guid-ab30b9ae-7fff-d0a5-c22c-c22d8cc67b70">A survey of hours taken revising for a test is conducted by a teacher. She asks all the students in her Grade 12 class: “Revising hard will make you do better in this exam. How many hours did you revise?”</p> <p dir="ltr">a)What type of sampling did the teacher use? (1)</p> <p dir="ltr">b) Her question might have made her results unreliable. Suggest what change could be made, and why. (2)</p> <p dir="ltr">The table shows the answers that her students gave. </p> <table align="left" dir="ltr" style="width:718px;"> <colgroup> <col> <col> <col> <col> <col> <col> <col> <col> <col> <col> </colgroup> <tbody> <tr> <td> <p dir="ltr">0</p> </td> <td> <p dir="ltr">0</p> </td> <td> <p dir="ltr">1</p> </td> <td> <p dir="ltr">1</p> </td> <td> <p dir="ltr">2</p> </td> <td> <p dir="ltr">5</p> </td> <td> <p dir="ltr">5</p> </td> <td> <p dir="ltr">8</p> </td> <td> <p dir="ltr">9</p> </td> <td> <p dir="ltr">50</p> </td> </tr> </tbody> </table> <div style="clear:both;"> </div> <p dir="ltr">c)Showing your working, identify the outlier and explain whether or not you think the value should be included in the teacher’s analysis. (5)</p> <p dir="ltr"> (8 marks)</p> <p dir="ltr">Video Solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/594704680?badge=0&autopause=0&player_id=0&app_id=58479&h=4247e2a7e3"></iframe></div> <script src="../../../api/player.js"></script></section> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander pull-right" href="#"><span class="fa fa-plus"></span></a> <div> <p>Cumulative frequency and Box plots - Exam Style Questions</p> </div> </div> <div class="panel-body"> <p>The following are exam style questions on this topic that you should try on your own before checking against the video solution.</p> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 1</p> </div> </div> <div class="panel-body"> <div> <p><img alt="" src="../../files/Stats/CFBP/cfbpq1.jpg" style="width: 600px; height: 288px;"></p> <p>See the solution in the hidden box</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/543974934"></iframe></div> </section> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-expandable panel-default"> <div class="panel-heading"><a class="expander pull-right" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 2</p> </div> </div> <div class="panel-body"> <div> <p style="text-align: center;"><img alt="" src="../../files/Stats/CFBP/cfbpq2.jpg" style="width: 600px; height: 350px;"></p> <p>See the solution in the hidden box</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/543975332"></iframe></div> </section> </div> </div> <div class="panel-footer"> <div> <p>text</p> </div> </div> </div> <div class="panel panel-has-colored-body panel-expandable panel-default"> <div class="panel-heading"><a class="expander pull-right" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 3</p> </div> </div> <div class="panel-body"> <div> <p style="text-align: center;"><img alt="" src="../../files/Stats/CFBP/cfbpq3.jpg" style="width: 600px; height: 580px;"></p> <p>See the solution in the hidden box</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/543975835"></iframe></div> </section> </div> </div> <div class="panel-footer"> <div> <p>text</p> </div> </div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Central tendency and dispersion - Exam Style Questions</p> </div> </div> <div class="panel-body"> <p>The following questions are based on IB exam style questions from past exams. You should print these off (from the document at the top) and try to do these questions under exam conditions. Then you can check your work with the video solution.</p> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 1</p> </div> </div> <div class="panel-body"> <p dir="ltr" id="docs-internal-guid-de94c8f7-7fff-b265-1837-bd0c6b290d0c">The table below shows the number of languages a class of 25 children speak</p> <table align="left" dir="ltr" style="width:718px;"> <colgroup> <col> <col> <col> <col> <col> <col> </colgroup> <tbody> <tr> <td> <p dir="ltr">No of languages</p> </td> <td> <p dir="ltr">1</p> </td> <td> <p dir="ltr">2</p> </td> <td> <p dir="ltr">3</p> </td> <td> <p dir="ltr">4</p> </td> <td> <p dir="ltr">5</p> </td> </tr> <tr> <td> <p dir="ltr">Frequency</p> </td> <td> <p dir="ltr">7</p> </td> <td> <p dir="ltr">p</p> </td> <td> <p dir="ltr">6</p> </td> <td> <p dir="ltr">3</p> </td> <td> <p dir="ltr">1</p> </td> </tr> </tbody> </table> <div style="clear:both;"> </div> <ol style="list-style-type:lower-alpha;"> <li dir="ltr"> <p dir="ltr" role="presentation">Find the value of p </p> </li> </ol> <p dir="ltr" style="margin-left: 36pt; text-align: right;">(1)</p> <ol style="list-style-type:lower-alpha;"> <li dir="ltr" value="2"> <p dir="ltr" role="presentation">Use your graphical display calculator to find</p> <ol style="list-style-type:lower-roman;"> <li dir="ltr"> <p dir="ltr" role="presentation">The median number of languages spoken</p> </li> <li dir="ltr"> <p dir="ltr" role="presentation">The mean number of languages spoken</p> </li> <li dir="ltr"> <p dir="ltr" role="presentation">The standard deviation of the number of languages spoken</p> </li> </ol> </li> </ol> <p dir="ltr" style="margin-left: 108pt; text-align: right;">(3)</p> <ol style="list-style-type:lower-alpha;"> <li dir="ltr" value="3"> <p dir="ltr" role="presentation">Showing your working, identify any outliers in this data. </p> </li> </ol> <p dir="ltr" style="margin-left: 36pt; text-align: right;">(2)</p> <p style="text-align: right;"><br> (6 marks)</p> <p>Video solution </p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/598259802?h=df42f2f040"></iframe></div> </section> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 2</p> </div> </div> <div class="panel-body"> <div> <p dir="ltr" id="docs-internal-guid-4d123a0b-7fff-79d4-f9ef-963020ddea50">The mean of the ten numbers listed below is 11.</p> <p dir="ltr"> 12, 9, 14, 10, 19, 8, 13, 11, a, b</p> <p dir="ltr">(a) Write down an equation in terms of a and b.</p> <p dir="ltr" style="text-align: right;">(2)</p> <p dir="ltr"> The mode of these ten numbers is nine and a is less than b. </p> <p dir="ltr">(b) Write down the value of</p> <p dir="ltr" style="margin-left:36pt;">(i) a;</p> <p dir="ltr" style="margin-left:36pt;">(ii) b.</p> <p dir="ltr" style="text-align: right;">(2)</p> <p dir="ltr">(c) Find the median of the ten numbers.</p> <p dir="ltr" style="text-align: right;">(2)</p> <p dir="ltr" style="text-align: right;">(Total 6 marks)</p> <p dir="ltr">Video solution</p> </div> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/598267666?badge=0&autopause=0&player_id=0&app_id=58479&h=6553ec539e"></iframe></div> <script src="../../../api/player.js"></script></section> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 3</p> </div> </div> <div class="panel-body"> <div> <p dir="ltr" id="docs-internal-guid-575ef551-7fff-4ac0-1636-66477f1832f0">10 dogs were weighed and their results written down in kilograms. The following box and whisker plot was used to represent their weights. </p> <p dir="ltr"><img height="316" src="../../../r5dtYfu8-AWhbCBtBdiRd-XFm-nD3maQf7F3_eNiCUMjAbhzyhlLdfyCtWrjPdjLV3xf4TTs_tU9RDk7FAwgbkXwHyejdr31OTespLqsZvpOS0s9Ym3DaVgcURF93Q" style="margin-top:0px;" width="678"></p> <p dir="ltr">a) Write down</p> <p dir="ltr" style="margin-left:36pt;">(i) the median weight;</p> <p dir="ltr" style="margin-left:36pt;">(ii) the 75th percentile weight;</p> <p dir="ltr" style="margin-left:36pt;">(iii) the range of marks.</p> <p dir="ltr" style="margin-left: 36pt; text-align: right;">(4)</p> <p dir="ltr">b) How many dogs weighed more than 39 kg?</p> <p dir="ltr" style="text-align: right;">(2)</p> <p dir="ltr">The mean weight of the dogs was found to be 40.5kg, and the standard deviation 13.8. After being put on a strict exercise routine, all the dogs had lost 2kg the next time they were weighed. </p> <p dir="ltr">c) What is the new mean and standard deviation of the dogs? </p> <p dir="ltr" style="text-align: right;">(2)</p> <p dir="ltr" style="text-align: right;">(Total 8 marks)</p> </div> <p>Video solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/598276058?badge=0&autopause=0&player_id=0&app_id=58479&h=a644fc5f54"></iframe></div> <script src="../../../api/player.js"></script></section> </div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Bivariate data & linear correlation - Exam Style Questions</p> </div> </div> <div class="panel-body"> <p>The following questions are based on IB exam style questions from past exams. You should print these off (from the document at the top) and try to do these questions under exam conditions. Then you can check your work with the video solution.</p> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 1</p> </div> </div> <div class="panel-body"> <p style="text-align: center;"><img alt="" src="../../files/Stats/bvd/bvq1.jpg" style="width: 700px; height: 438px;"></p> <p>Video solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/671688728"></iframe></div> <p>Worked Solution</p> <p style="text-align: center;"><img alt="" src="../../files/Stats/bvd/bvq1a1.jpg" style="width: 700px; height: 505px;"></p> <p style="text-align: center;"><img alt="" src="../../files/Stats/bvd/bvq1a2.jpg" style="width: 700px; height: 508px;"> </p> </section> </div> </div> <div class="panel panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 2</p> </div> </div> <div class="panel-body"> <div> <div> <p><img alt="" src="../../images/dans-images/linear_exquestion.png" style="width: 650px; height: 374px;"></p> </div> <p>Video solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <p style="text-align: center"><iframe allowfullscreen="" frameborder="0" height="auto" mozallowfullscreen="" src="https://player.vimeo.com/video/675619538" webkitallowfullscreen="" width="100%"></iframe> </p> </section> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 3</p> </div> </div> <div class="panel-body"> <div> <p><img alt="" src="../../images/dans-images/bivariate_exqu2.png" style="width: 650px; height: 379px;"></p> <p>Video solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/676876057"></iframe></div> </section> <div class="panel panel-default panel-has-colored-body panel-has-border panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 4</p> </div> </div> <div class="panel-body"> <div> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">Mikel believes there is a linear relationship between time spent studying and performance in an IB exam.To test this, he collected data on ten of his classmates. He recorded the time spent studying, x, alongside the percentage they received in their most recent exam, y. </span></p> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">The following table shows the data he found. </span></p> <table align="left" dir="ltr"> <colgroup> <col> <col> <col> <col> <col> <col> <col> <col> <col> <col> <col> </colgroup> <tbody> <tr> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">Hours studying, x. </span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">4 </span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45"> 5 </span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">4 </span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">3 </span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">7 </span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">2 </span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">7 </span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">9 </span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">10 </span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">11</span></p> </td> </tr> <tr> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">Percentage Score, y</span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">58</span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">60 </span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">43</span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">40</span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">65</span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">35</span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">70</span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">75</span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">75</span></p> </td> <td> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">80</span></p> </td> </tr> </tbody> </table> <div style="clear:both;"> </div> <p dir="ltr" role="presentation"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">a. Why does Pearson’s Product Moment Correlation Coefficient appear to be valid for this data?</span></p> <p dir="ltr" role="presentation"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">b. Find the value of Pearson’s Product Moment Correlation Coefficient, r. </span></p> <p dir="ltr" role="presentation"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">c. Comment on the strength of the correlation</span></p> <p dir="ltr"><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45">Mikel decides to study for 8 hours for the test. </span><span id="docs-internal-guid-444222c6-7fff-c87d-1fe8-ed9f4f8b0d45"></span></p> <p dir="ltr"><span>d. By using the equation of the regression line, what score could he expect to get?</span></p> <p>Video Solution</p> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <p><span id="cke_bm_805E" style="display: none;"> </span></p> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Probability - Exam Style Questions</p> </div> </div> <div class="panel-body"> <p>The following questions are based on IB exam style questions from past exams. You should print these off (from the document at the top) and try to do these questions under exam conditions. Then you can check your work with the video solution.</p> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 1</p> </div> </div> <div class="panel-body"> <div> <p><img alt="" src="../../files/LSP/PB/esq1.jpg" style="width: 700px; height: 363px;"></p> <p>Video solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/592636073"></iframe></div> </section> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 2</p> </div> </div> <div class="panel-body"> <div> <p><img alt="" src="../../files/LSP/PB/esq2.jpg" style="width: 700px; height: 348px;"></p> <p>Video solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/592636517"></iframe></div> </section> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 3</p> </div> </div> <div class="panel-body"> <div> <p><img alt="" src="../../files/LSP/PB/esq3.jpg" style="width: 700px; height: 238px;"></p> <p>Video solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/592636871"></iframe></div> </section> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 4</p> </div> </div> <div class="panel-body"> <div> <p><img alt="" src="../../files/LSP/PB/esq4.jpg" style="width: 700px; height: 938px;"></p> <p>Video solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/592637490"></iframe></div> </section> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 5</p> </div> </div> <div class="panel-body"> <p><img alt="" src="../../files/LSP/PB/esq5.jpg" style="width: 700px; height: 903px;"></p> <p>Video solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/592637928"></iframe></div> </section> </div> <div class="panel panel-default panel-has-colored-body panel-has-border panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 6</p> </div> </div> <div class="panel-body"> <div> <p dir="ltr"><span id="docs-internal-guid-a021702e-7fff-1925-2d11-dbc113b93fa3">Ross and Dylan are playing padel. The probability that Dylan wins the first game is 0.6. If Ross wins the game the probability that he wins the next game is 0.9. If Dylan wins the game, the probability that he wins the next game is 0.5. Let R be the probability that Ross wins a game, and D be the probability that Dylan wins the game. </span></p> <p dir="ltr"><span id="docs-internal-guid-a021702e-7fff-1925-2d11-dbc113b93fa3"><img height="270" src="../../../LmOBvr6yPsGOC1Gwcq6n7S4me2piudKNhC3DoEbPW8DkaIC4EQsOQIIf3BrTe1JG7I-hhhUQE75MYtx0p6jeeYqaQsQa0WyNTFF-9rqiEXqBOU_xvdLCBD5nYuwogdKUPzeOiV53" style="margin-top:0px;" width="273"></span></p> <p dir="ltr" role="presentation"><span id="docs-internal-guid-a021702e-7fff-1925-2d11-dbc113b93fa3">a. Complete the tree diagram to represent the padel game. </span><span id="docs-internal-guid-a021702e-7fff-1925-2d11-dbc113b93fa3"></span></p> <p dir="ltr" role="presentation"><span>b. Find the probability that Dylan wins both games</span><span id="docs-internal-guid-a021702e-7fff-1925-2d11-dbc113b93fa3"></span></p> <p dir="ltr" role="presentation"><span>c. Find the probability that Ross wins the second game, given that he wins the first game.</span></p> <p dir="ltr" role="presentation">Video Solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> </section> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> </div> <div class="panel-footer"> <div><br> <span id="cke_bm_805E" style="display: none;"> </span></div> </div> </div> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Discrete Random Variables - Exam Style Questions</p> </div> </div> <div class="panel-body"> <div> <p>The following questions are based on IB exam style questions from past exams. You should print these off (from the document at the top) and try to do these questions under exam conditions. Then you can check your work with the video solution.</p> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 1</p> </div> </div> <div class="panel-body"> <div> <p dir="ltr" id="docs-internal-guid-3f06b21f-7fff-c9c2-d0a9-a2feaacf8f52">Jenni plays a game using a spinner. The values on the spinner are labelled -5,0,3 and 10. The score for the game, X, is the value the spinner lands on. The following table shows the probability distribution for X.</p> <table align="center" border="2" cellpadding="1" cellspacing="1" style="width:100%;"> <tbody> <tr> <td>Score X</td> <td>-5</td> <td>0</td> <td>3</td> <td>10</td> </tr> <tr> <td>P(X=x)</td> <td>0.29</td> <td>a</td> <td>0.39</td> <td>0.19</td> </tr> </tbody> </table> <table align="left" dir="ltr" style="width:718px;"> <colgroup> <col> <col> <col> <col> <col> </colgroup> <tbody> <tr> <td> </td> </tr> </tbody> </table> <div style="clear:both;"> </div> <ol style="list-style-type:lower-alpha;"> <li dir="ltr"> <p dir="ltr" role="presentation">What is the value of a?</p> </li> </ol> <p dir="ltr" style="text-align: right;">(1)</p> <ol style="list-style-type:lower-alpha;"> <li dir="ltr" value="2"> <p dir="ltr" role="presentation">What is Jenni’s expected score if she plays the game once? </p> </li> </ol> <p dir="ltr" style="margin-left: 36pt; text-align: right;">(2)</p> <p dir="ltr" style="margin-left:36pt;">Jenni plays this game at a fair, and wins the amount in $ that the spinner lands on. </p> <ol style="list-style-type:lower-alpha;"> <li dir="ltr" value="3"> <p dir="ltr" role="presentation">What would be a fair price for Jenni to pay?</p> </li> </ol> <p dir="ltr" style="margin-left: 36pt; text-align: right;">(1)</p> <ol style="list-style-type:lower-alpha;"> <li dir="ltr" value="4"> <p dir="ltr" role="presentation">Jenni plays the game twice and adds up her scores. What is the probability that she gets a total score of 3? </p> </li> </ol> <p dir="ltr" style="margin-left: 108pt; text-align: right;">(3)</p> <p dir="ltr" style="margin-left: 108pt; text-align: right;">(7 marks)</p> <p dir="ltr" style="margin-left: 108pt;">Video solution </p> </div> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/598304701?badge=0&autopause=0&player_id=0&app_id=58479&h=e8173e4e6b"></iframe></div> <script src="../../../api/player.js"></script></section> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 2</p> </div> </div> <div class="panel-body"> <div> <p dir="ltr" id="docs-internal-guid-d93a3e9f-7fff-9457-5269-c9e80956776f">The following table shows the probability distribution of a discrete random variable A.</p> <table align="left" dir="ltr" style="width:718px;"> <colgroup> <col> <col> <col> <col> <col> </colgroup> <tbody> <tr> <td> <p dir="ltr">a</p> </td> <td> <p dir="ltr">2</p> </td> <td> <p dir="ltr">3</p> </td> <td> <p dir="ltr">4</p> </td> <td> <p dir="ltr">5</p> </td> </tr> <tr> <td> <p dir="ltr">P(A=a)</p> </td> <td> <p dir="ltr">0.3</p> </td> <td> <p dir="ltr">x</p> </td> <td> <p dir="ltr">y</p> </td> <td> <p dir="ltr">0.2</p> </td> </tr> </tbody> </table> <div style="clear:both;"> </div> <p dir="ltr">Given that E(A)=3.4, find the value of x and y. </p> <p dir="ltr">(4 marks)</p> </div> </div> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <p>Video Solution</p> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/598309270?badge=0&autopause=0&player_id=0&app_id=58479&h=7db20730cc"></iframe></div> <script src="../../../api/player.js"></script></section> <div class="panel-footer"> <div><a class="expander" href="#"><span class="fa fa-plus"></span></a></div> </div> </div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Binomial Distribution - Exam Style Questions</p> </div> </div> <div class="panel-body"> <p>The following questions are based on IB exam style questions from past exams. You should print these off (from the document at the top) and try to do these questions under exam conditions. Then you can check your work with the video solution.</p> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 1</p> </div> </div> <div class="panel-body"> <p dir="ltr"><span id="docs-internal-guid-36defaf0-7fff-8511-6682-d0390141e64c">Ms Roberts teaches a Maths class with 17 students. 6 of them are working from school, and 11 of them are working remotely. </span></p> <p dir="ltr"><span id="docs-internal-guid-36defaf0-7fff-8511-6682-d0390141e64c">Each day, Ms Roberts chooses one student at random to make a presentation. </span></p> <p dir="ltr" role="presentation"><span id="docs-internal-guid-36defaf0-7fff-8511-6682-d0390141e64c">a. Find the probability that on a given day, Ms Roberts chooses someone who is working from home </span> <span id="docs-internal-guid-36defaf0-7fff-8511-6682-d0390141e64c">(1)</span></p> <p dir="ltr"><span id="docs-internal-guid-36defaf0-7fff-8511-6682-d0390141e64c">In September, Ms Roberts will teach 15 lessons with her class. </span></p> <p dir="ltr" role="presentation"><span id="docs-internal-guid-36defaf0-7fff-8511-6682-d0390141e64c">b. Find the probability that she chooses a student working remotely 8 times. </span><span id="docs-internal-guid-36defaf0-7fff-8511-6682-d0390141e64c">(2)</span><span id="docs-internal-guid-36defaf0-7fff-8511-6682-d0390141e64c"></span></p> <p dir="ltr" role="presentation"><span>c. Find the probability that she chooses a student working in school at least 9 times. </span><span id="docs-internal-guid-36defaf0-7fff-8511-6682-d0390141e64c">(3)</span></p> <p dir="ltr" style="margin-left: 36pt; text-align: right;">(6 marks)</p> <p dir="ltr" style="margin-left: 72pt;">Video Solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/598418978?badge=0&autopause=0&player_id=0&app_id=58479&h=f6ebe39357"></iframe></div> <script src="../../../api/player.js"></script><script src="../../../api/player.js"></script></section> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 2</p> </div> </div> <div class="panel-body"> <p dir="ltr"><span id="docs-internal-guid-a588dda0-7fff-53f6-5a7c-fe1dd27ff1ea">The probability that my train is late on any given day is 0.3. What is the probability that it will be late at least three times between Monday and Friday? </span><span id="docs-internal-guid-a588dda0-7fff-53f6-5a7c-fe1dd27ff1ea">(4)</span></p> <p dir="ltr">Video Solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/598421188?badge=0&autopause=0&player_id=0&app_id=58479&h=a05f2e4691"></iframe></div> <script src="../../../api/player.js"></script><script src="../../../api/player.js"></script></section> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 3</p> </div> </div> <div class="panel-body"> <p dir="ltr"><span id="docs-internal-guid-17bf6d9e-7fff-d0f6-7197-d2ebd3d87ae3">An infectious virus is spreading through a school. The probability of a randomly selected student having the virus next week is 0.2. Mr Santos has a class of 24 students. </span></p> <p dir="ltr" role="presentation"><span id="docs-internal-guid-17bf6d9e-7fff-d0f6-7197-d2ebd3d87ae3">a. Calculate the probability that 3 or more students in Mr Santos’ class will have the virus next week. </span> <span id="docs-internal-guid-17bf6d9e-7fff-d0f6-7197-d2ebd3d87ae3">(3)</span></p> <p dir="ltr" role="presentation"><span id="docs-internal-guid-17bf6d9e-7fff-d0f6-7197-d2ebd3d87ae3">b. If more than 25% of the students have the virus next week, the exam will be cancelled. What is the probability that the exam is cancelled? </span> <span id="docs-internal-guid-17bf6d9e-7fff-d0f6-7197-d2ebd3d87ae3">(4)</span></p> <p style="text-align: right;"><span id="docs-internal-guid-17bf6d9e-7fff-d0f6-7197-d2ebd3d87ae3">(6 marks)</span></p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/598423906?badge=0&autopause=0&player_id=0&app_id=58479&h=7a7ef8304f"></iframe></div> <script src="../../../api/player.js"></script><script src="../../../api/player.js"></script></section> </div> <div class="panel panel-has-colored-body panel-has-border panel-expandable panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 4</p> </div> </div> <div class="panel-body"> <div> <p dir="ltr"><span id="docs-internal-guid-2c708443-7fff-8c03-8aa8-0f628ddeade1">A wind turbine has 15 different working components, and works as long as at least of them is working. The probability that an individual component fails in a given year is 0.9. Given that the probability of each individual component failing is independent of the others:</span></p> <p dir="ltr" role="presentation"><span id="docs-internal-guid-2c708443-7fff-8c03-8aa8-0f628ddeade1">Find the probability that the wind turbine will fail in the first year. </span><span id="docs-internal-guid-2c708443-7fff-8c03-8aa8-0f628ddeade1">(2)</span></p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/598427212?badge=0&autopause=0&player_id=0&app_id=58479&h=2853e96e30"></iframe></div> <script src="../../../api/player.js"></script></section> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Normal distribution - Exam Style Questions</p> </div> </div> <div class="panel-body"> <div> <p>The following questions are based on IB exam style questions from past exams. You should print these off (from the document at the top) and try to do these questions under exam conditions. Then you can check your work with the video solution.</p> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 1</p> </div> </div> <div class="panel-body"> <div> <p style="text-align: center;"><img alt="" src="../../files/Stats/nd/nd1q.jpg" style="width: 600px; height: 360px;"></p> <p>Video solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/589873906"></iframe></div> </section> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-default panel-expandable panel-has-colored-body"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 2</p> </div> </div> <div class="panel-body"> <div> <p><img alt="" src="../../files/Stats/nd/nd2.jpg" style="width: 700px; height: 256px;"></p> <p>Video solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/589876764"></iframe></div> </section> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-default panel-expandable panel-has-colored-body"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 3</p> </div> </div> <div class="panel-body"> <div> <p style="text-align: center;"><img alt="" src="../../files/Stats/nd/nd3.jpg" style="width: 700px; height: 741px;"></p> <p>Video solution </p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/589880604"></iframe></div> </section> </div> </div> <div class="panel-footer"> <div> <p><span id="cke_bm_805E" style="display: none;"> </span></p> </div> </div> </div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander pull-right" href="#"><span class="fa fa-plus"></span></a> <div> <p>Spearman's rank - Exam Style Questions</p> </div> </div> <div class="panel-body"> <p>The following are exam style questions on this topic that you should try on your own before checking against the video solution.</p> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 1</p> </div> </div> <div class="panel-body"><img alt="" src="../../images/dans-images/picture1(2).png" style="width: 600px; height: 338px;"></div> <div class="panel-body">Video Solution</div> <div class="panel-body"> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/642074305"></iframe></div> </section> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 2</p> </div> </div> <div class="panel-body"><img alt="" src="../../images/dans-images/picture2(1).png" style="width: 600px; height: 373px;"></div> <div class="panel-body">Video Solution</div> <div class="panel-body"> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/642458553"></iframe></div> </section> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 3</p> </div> </div> <div class="panel-body"><img alt="" src="../../images/dans-images/picture3(1).png" style="width: 600px; height: 369px;"></div> <div class="panel-body">Video Solution</div> <div class="panel-body"> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/670864369"></iframe></div> </section> </div> </div> </div> <div class="panel-footer"> <div> <p>text</p> </div> </div> </div> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Chi squared two way independence tests - Exam Style Questions</p> </div> </div> <div class="panel-body"> <div> <p>The following questions are based on IB exam style questions from past exams. You should print these off (from the document at the top) and try to do these questions under exam conditions. Then you can check your work with the video solution.</p> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 1</p> </div> </div> <div class="panel-body"> <div> <p><img alt="" src="../../files/Stats/Chi-Squared/Chi2Q1.jpg" style="width: 500px; height: 635px;"></p> <p>Video solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/592654802"></iframe></div> </section> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 2</p> </div> </div> <div class="panel-body"> <div> <p><img alt="" src="../../files/Stats/Chi-Squared/Chi2Q2.jpg" style="width: 500px; height: 516px;"></p> <p>Video solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/592655323"></iframe></div> </section> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> </div> </div> <div class="panel-footer"> <div><br> <span id="cke_bm_805E" style="display: none;"> </span></div> </div> </div> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander pull-right" href="#"><span class="fa fa-plus"></span></a> <div> <p>Chi squared goodness of fit tests - Exam Style Questions</p> </div> </div> <div class="panel-body"> <p>The following are exam style questions on this topic that you should try on your own before checking against the video solution.</p> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 1</p> </div> </div> <div class="panel-body"> <p><img alt="" src="../../images/dans-images/exam_q1picture.png" style="width: 650px; height: 200px;"></p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/661405375"></iframe></div> </section> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 2</p> </div> </div> <div class="panel-body"> <p><img alt="" src="../../images/dans-images/exam_q2pic.png" style="width: 650px; height: 240px;"></p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/661407691"></iframe></div> </section> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 3</p> </div> </div> <div class="panel-body"> <p><img alt="" src="../../images/dans-images/exam_q3pic.png" style="width: 650px; height: 363px;"></p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/661409504"></iframe></div> </section> </div> </div> </div> <div class="panel-footer"> <div> <p>text</p> </div> </div> </div> <div class="page-container panel-self-assessment" data-id="3021"> <div class="panel-heading">MY PROGRESS</div> <div class="panel-body understanding-rate"> <div class="msg"></div> <label class="label-lg">Self-assessment</label><p>How much of <strong>Statistics & Probability Exam Questions</strong> have you understood?</p><div class="slider-container text-center"><div id="self-assessment-slider" class="sib-slider self-assessment " data-value="1" data-percentage=""></div></div> <label class="label-lg">My notes</label> <textarea name="page-notes" class="form-control" rows="3" placeholder="Write your notes here..."></textarea> </div> <div class="panel-footer text-xs-center"> <span id="last-edited" class="mb-xs-3"> </span> <div class="actions mt-xs-3"> <button id="save-my-progress" type="button" class="btn btn-sm btn-primary text-center btn-xs-block"> <i class="fa fa-fw fa-floppy-o"></i> Save </button> </div> </div></div> <div id="modal-feedback" class="modal fade" tabindex="-1" role="dialog"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <h4 class="modal-title">Feedback</h4> <button type="button" class="close hidden-xs hidden-sm" data-dismiss="modal" aria-label="Close"> <span aria-hidden="true">×</span> </button> </div> <div class="modal-body"> <div class="errors"></div> <p><strong>Which of the following best describes your feedback?</strong></p> <form method="post" style="overflow: hidden"> <div class="form-group"> <div class="radio"><label style="color: #121212;"><input type="radio" name="feedback-type" value="Recommendation"> Recommend</label></div><div class="radio"><label style="color: #121212;"><input type="radio" name="feedback-type" value="Problem"> Report a problem</label></div><div class="radio"><label style="color: #121212;"><input type="radio" name="feedback-type" value="Improvement"> Suggest an improvement</label></div><div class="radio"><label style="color: #121212;"><input type="radio" name="feedback-type" value="Other"> Other</label></div> </div> <hr> <div class="row"> <div class="col-md-6"> <div class="form-group"> <label for="feedback-name">Name</label> <input type="text" class="form-control" name="feedback-name" placeholder="Name" value=" "> </div> </div> <div class="col-md-6"> <div class="form-group"> <label for="feedback-email">Email address</label> <input type="email" class="form-control" name="feedback-email" placeholder="Email" value="@airmail.cc"> </div> </div> </div> <div class="form-group"> <label for="feedback-comments">Comments</label> <textarea class="form-control" name="feedback-comments" style="resize: vertical;"></textarea> </div> <input type="hidden" name="feedback-ticket" value="082b9c9c4ae3624d"> <input type="hidden" name="feedback-url" value="https://studyib.net/mathsapplications/page/3021/statistics-probability-exam-questions"> <input type="hidden" name="feedback-subject" value="15"> <input type="hidden" name="feedback-subject-name" value="Maths: Applications & Interpretations SL"> <div class="pull-left"> </div> </form> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary btn-xs-block feedback-submit mb-xs-3 pull-right"> <i class="fa fa-send"></i> Send </button> <button type="button" class="btn btn-default btn-xs-block m-xs-0 pull-left" data-dismiss="modal"> Close </button> </div> </div> </div></div> </article> <hr class="hidden-md hidden-lg"> <div class="hidden-md hidden-lg mt-xs-3"> <button class="btn btn-default btn-block text-xs-center" data-toggle="modal" data-target="#modal-feedback" style="margin-bottom: 10px"><i class="fa fa-send"></i> Feedback</button> </div> </div> <input type="hidden" id="user-id" value="38342"></div><input id="ticket" type="hidden" value="082b9c9c4ae3624d"><input id="tzoffset" type="hidden" value="new"><input id="fp" class="fp" type="hidden" value=""></div><div id="std-footer"> <div class="wmap"> <div class="layout-wrapper"> <p> <a href="https://www.inthinking.net"> © <span id="footer-year"></span> <em>InThinking</em> <script>document.getElementById("footer-year").innerHTML = new Date().getFullYear();</script> </a> | <a target="_self" href="../../../about.html"> About us </a> | <a target="_self" href="../../../terms-and-conditions.html"> Legal </a> | <a target="_self" href="../../../contact.html"> Contact </a> </p> <p> <a class="social" target="_blank" href="https://twitter.com/#!/inthinker"> <img src="../../../img/social/twitter-square.svg"> Twitter </a> <a class="social" target="_blank" href="https://www.facebook.com/inthinking.net"> <img src="../../../img/social/facebook-square.svg"> Facebook </a> <a class="social" target="_blank" href="https://www.linkedin.com/profile/view?id=139741989"> <img src="../../../img/social/linkedin-square.svg"> LinkedIn </a> </p> </div> </div></div><script src="../../../js/jquery-1.11.3.min.js"></script><script src="../../../js/bootstrap.min.js"></script><script src="../../../js/jquery-fancybox/jquery.fancybox.min.js"></script><script>var pageId = 3021;</script><script type="text/javascript" src="../../../js/jqueryui/jquery-ui.min.js"></script><script type="text/javascript" src="../../../js/jqueryui/jquery.ui.touch-punch.min.js"></script><script src="../../../js/user/page-my-progress.min.js?v=202211221000"></script><script>var sAJAX='/pages/subjects/activity/user-stats-page.php?t=082b9c9c4ae3624d&p=3021&s=15&x=28411';var sData='k4iA6GSB03BgPm1DOdPyIxiA6GSB0bfq7Y9FwFiA6GSBPFAF7YcHEKvrZ0fREzP5PBar60fj7bfj6bOliFpC7nvF6GijWYBrkzpckYc8PccLE0arZGv274PRPHpsE3KeSYcH74P5EncR739RPnLsSYK4ZGcR74P5EncR739RPHaL6nfhWGcjWFP5PFPRPHpsSYlFwFi7I3LsSYsD60pAWYBm60fjW3qD0xvA6GSB0xXDOdPy0xvDSYcrZ0arZGaDI0p4W3is6nBRZ0fqIGKN6Gr870KB7bfjW3qDPHr=';var loopSecs = 30;var minSecsLog = 60;var lsKey = '15-83609-3021';</script><script src="../../../js/subjects/activity/user-stats-page.min.js?v=202205311700"></script><script src="../../../js/subjects/activity/my-favorites.min.js?v=20220610"></script><script src="../../../js/subjects/feedback.min.js?v=202211221000"></script><script>var sessionUpdateSecs = 300;</script><script type="text/javascript" src="../../../js/session-updater.js"></script><script>(function(i,s,o,g,r,a,m){i['GoogleAnalyticsObject']=r;i[r]=i[r]||function(){(i[r].q=i[r].q||[]).push(arguments)},i[r].l=1*new Date();a=s.createElement(o),m=s.getElementsByTagName(o)[0];a.async=1;a.src=g;m.parentNode.insertBefore(a,m)})(window,document,'script','https://www.google-analytics.com/analytics.js','ga');ga('create', 'UA-98480796-1', 'auto');ga('send', 'pageview');</script><script src="../../../js/devicefp/devicefp.min.js"></script><script src="../../../js/jq-quickfit/jq-quickfit.min.js?v=20220201"></script><script src="../../../js/frontpage-subjects.min.js?v=202211161300"></script><script type="text/javascript" src="../../../js/studyib-jq.min.js?v=202211241300"></script><script type="text/javascript">$(document).ready(function(){ $('#trigger-modal-video-overview').click(function() { if( $('#modal-video-overview .modal-body iframe').attr('src').length == 0 ) { $('#modal-video-overview .modal-body iframe').attr('src', 'https://www.youtube.com/embed/hxxtdiLdTFk?rel=0'); } }); $('#modal-video-overview').on('hidden.bs.modal', function() { $('#modal-video-overview .modal-body iframe').attr('src', ''); }); });</script></body></html>