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, 202 140 150 160 170 180 190 200 210 arm span (cm)

Explanation:

Step1: Recall five - number summary

It consists of minimum, first quartile ($Q_1$), median ($Q_2$), third quartile ($Q_3$), and maximum.

Step2: Identify minimum

The left - most end of the whisker is the minimum. From the box - plot, it is around 143.

Step3: Identify $Q_1$

The left side of the box is $Q_1$. It is around 162.

Step4: Identify median

The line inside the box is the median. It is around 168.

Step5: Identify $Q_3$

The right side of the box is $Q_3$. It is around 180.

Step6: Identify maximum

The right - most end of the whisker is the maximum. It is around 202.

Answer:

143, 162, 168, 180, 202