<p>The following table gives the examination grades for&nbsp;\(120\) students.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 400px;"><colgroup><col style="width: 100px;"><col style="width: 150px;"><col style="width: 150px;"></colgroup><thead><tr><th style="text-align: center; --cell-justify: center"><p style="text-align: center;"><strong>Grade</strong></p></th><th style="text-align: center; --cell-justify: center"><p style="text-align: center;"><strong>Number of students</strong></p></th><th style="text-align: center; --cell-justify: center"><p style="text-align: center;"><strong>Cumulative frequency</strong></p></th></tr></thead><tbody><tr><td style="text-align: center; --cell-justify: center"><p>\(1\)</p></td><td style="text-align: center; --cell-justify: center"><p>\(9\)<br></p></td><td style="text-align: center; --cell-justify: center"><p>\(9\)<br></p></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>\(2\)<br></p></td><td style="text-align: center; --cell-justify: center"><p>\(25\)<br></p></td><td style="text-align: center; --cell-justify: center"><p>\(34\)<br></p></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>\(3\)<br></p></td><td style="text-align: center; --cell-justify: center"><p>\(35\)<br></p></td><td style="text-align: center; --cell-justify: center"><p>\(p\)<br></p></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>\(4\)<br></p></td><td style="text-align: center; --cell-justify: center"><p>\(q\)<br></p></td><td style="text-align: center; --cell-justify: center"><p>\(109\)<br></p></td></tr><tr><td style="text-align: center; --cell-justify: center"><p>\(5\)<br></p></td><td style="text-align: center; --cell-justify: center"><p>\(11\)<br></p></td><td style="text-align: center; --cell-justify: center"><p>\(120\)<br></p></td></tr></tbody></table></div></div>
<ol class="abc-list"><li><div class="list-item-paragraph">Find the value of<span class="inline-marks">[4]</span></div><ol class="i-list"><li><div class="list-item-paragraph">\(p\);</div></li><li><div class="list-item-paragraph">\(q\).</div></li></ol></li><li><div class="list-item-paragraph">Find the mean grade.<span class="inline-marks">[2]</span></div></li><li><div class="list-item-paragraph">Write down the standard deviation.<span class="inline-marks">[1]</span></div></li></ol>

The following table gives the examination grades for \(120\) students.

<p style="text-align: center;"><strong>Grade</strong></p>

<p style="text-align: center;"><strong>Number of students</strong></p>

<p style="text-align: center;"><strong>Cumulative frequency</strong></p>

Mean and Standard Deviation for Ungrouped Data

Statistics

International Baccalaureate Standard Level Mathematics

Statistics - Mean and Standard Deviation for Ungrouped Data

Statistics - Mean and Standard Deviation for Ungrouped Data