Question

the boxplot below displays the arm spans for 44 students. which of the following is the five - number summary for the distribution of arm spans? 140, 160, 170, 180, 210 143, 162, 168, 180, 202 143, 165, 175, 185, 200 145, 158, 168, 182, 202

Explanation:

Step1: Recall the five - number summary

The five - number summary consists of the minimum, first quartile (\(Q_1\)), median (\(Q_2\)), third quartile (\(Q_3\)), and maximum.

Step2: Analyze the box - plot

The left - most whisker gives the minimum value. Looking at the scale, the minimum is around \(143\). The left edge of the box is \(Q_1\), which is around \(162\). The line inside the box is the median (\(Q_2\)), around \(168\). The right edge of the box is \(Q_3\), around \(180\). The right - most whisker gives the maximum value, around \(202\).

Answer:

\(143,162,168,180,202\)