Question

a scientist measured the heights (in cm) of several plants of a certain species. the box - and - whisker plot (sometimes called a boxplot) summarizes these heights. use the box - and - whisker plot to answer the following. (a) what is the median height? (b) what is the latest height? (c) what is the third quartile (q3) 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.

Step2: Identify the median

Looking at the box - and - whisker plot, the line inside the box is at 30. So the median height is 30 cm.

Step3: Recall the maximum value in box - and - whisker plot

The end of the right - hand whisker represents the largest value (the latest height in this context). Here, it is at 55 cm.

Step4: Recall the third quartile in box - and - whisker plot

The right - hand side of the box represents the third quartile ($Q_3$). Here, $Q_3$ is at 45 cm.

Answer:

(a) 30 cm
(b) 55 cm
(c) 45 cm