<p>Each student in a class was asked how long (in the nearest minute) it took them to solve a problem.</p>
<p>The results are shown in the table below.</p>
<div class="table-container"><table><colgroup><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"><col style="width: 50px;"></colgroup><thead><tr><th style="text-align: center"><p>$2$</p></th><th style="text-align: center"><p>$7$</p></th><th style="text-align: center"><p>$4$</p></th><th style="text-align: center"><p>$2$</p></th><th style="text-align: center"><p>$1$</p></th><th style="text-align: center"><p>$3$</p></th><th style="text-align: center"><p>$8$</p></th><th style="text-align: center"><p>$7$</p></th></tr></thead><tbody><tr><td style="text-align: center"><p>$4$</p></td><td style="text-align: center"><p>$1$</p></td><td style="text-align: center"><p>$2$</p></td><td style="text-align: center"><p>$5$</p></td><td style="text-align: center"><p>$5$</p></td><td style="text-align: center"><p>$2$</p></td><td style="text-align: center"><p>$3$</p></td><td style="text-align: center"><p>$8$</p></td></tr><tr><td style="text-align: center"><p>$8$</p></td><td style="text-align: center"><p>$4$</p></td><td style="text-align: center"><p>$4$</p></td><td style="text-align: center"><p>$11$</p></td><td style="text-align: center"><p>$4$</p></td><td style="text-align: center"><p>$6$</p></td><td style="text-align: center"><p>$2$</p></td><td style="text-align: center"><p>$6$</p></td></tr></tbody></table></div>
<ol class="abc-list"><li><div class="list-item-paragraph">Represent the data on a dot diagram.</div></li><li><div class="list-item-paragraph">Briefly describe the distribution of the data.</div></li><li><div class="list-item-paragraph">A student is selected at random. The probability that the student uses at most $x$ minutes to solve the problem is $\frac{2}{3}$ . Find the values of $x$. </div></li></ol>

Each student in a class was asked how long (in the nearest minute) it took them to solve a problem.

The results are shown in the table below.

Briefly describe the distribution of the data.

A student is selected at random. The probability that the student uses at most $x$ minutes to solve the problem is $\frac{2}{3}$ . Find the values of $x$. 

Dot Plot Representation and Probability

Dot Plot Representation and Probability

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