<p>The table shows the average time taken to travel to school daily by a group of students.</p>
<div class="content-block content-block--table"><div class="table-container"><table><colgroup><col style="width: 150px;"><col style="width: 150px;"></colgroup><thead><tr style="height: 43px;"><th style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">Time taken (\(t\) min)</th><th style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">Number of students</th></tr></thead><tbody><tr style="height: 43px;"><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(10 &lt; t \le 20\)</td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(22\)</td></tr><tr style="height: 43px;"><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(20 &lt; t \le 30\)</td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(16\)</td></tr><tr style="height: 43px;"><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(30 &lt; t \le 40\)</td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(8\)</td></tr><tr style="height: 43px;"><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(40 &lt; t \le 50\)</td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(X\)</td></tr><tr style="height: 43px;"><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(50 &lt; t \le 60\)</td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(3\)</td></tr><tr style="height: 43px;"><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(60 &lt; t \le 70\)</td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(2\)</td></tr></tbody></table></div></div>
<p>Find</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">the values of \(X\), \(Y\) and \(Z\) if the cumulative frequency table is given as follow.</span></div></li></ol>
<div class="content-block content-block--table"><div class="table-container"><table><colgroup><col style="width: 150px;"><col style="width: 150px;"></colgroup><thead><tr style="height: 43px;"><th style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">Time (\(t\) min)</th><th style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">Number of students</th></tr></thead><tbody><tr style="height: 43px;"><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(\le 20\)</td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(22\)</td></tr><tr style="height: 43px;"><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(\le 30\)</td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(Y\)</td></tr><tr style="height: 43px;"><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(\le 40\)</td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(46\)</td></tr><tr style="height: 43px;"><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(\le 50\)</td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(55\)</td></tr><tr style="height: 43px;"><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(\le 60\)</td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(58\)</td></tr><tr style="height: 43px;"><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(\le 70\)</td><td style="height: 43px; min-height: 43px; text-align: center; --cell-justify: center">\(Z\)</td></tr></tbody></table></div></div>
<ol class="abc-list" start="2"><li><div class="list-item-content"><span class="list-item-text">the number of students who took more than \(40\) minutes to travel to school daily.</span></div></li></ol>

The table shows the average time taken to travel to school daily by a group of students.

the values of \(X\), \(Y\) and \(Z\) if the cumulative frequency table is given as follow.

the number of students who took more than \(40\) minutes to travel to school daily.

Statistical Data Analysis: School Commute Times

Statistical Data Analysis: School Commute Times

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