Question

use the box - and - whisker plot to answer the following.(a) what is the median height?(b) what is the tallest height?(c) what is the third quartile ($q_{3}$) of the heights?

Explanation:

Step1: Recall box - and - whisker plot properties

In a box - and - whisker plot, the line inside the box represents the median. The right - most end of the whisker (or the end of the box if there is no whisker in that direction) represents the maximum value. The right end of the box represents the third quartile ($Q_3$).

Step2: Find the median

Looking at the box - and - whisker plot, the line inside the box is at \(30\) cm.

Step3: Find the tallest height

The right - most end of the whisker (or the end of the box if there is no whisker in that direction) is at \(55\) cm.

Step4: Find the third quartile ($Q_3$)

The right end of the box is at \(50\) cm.

Answer:

(a) \(30\) cm
(b) \(55\) cm
(c) \(50\) cm