Question

botanist 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 tallest 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 plot, the line inside the box is at \(30\).

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

The right - most end of the whisker (or the point if there are no outliers) represents the maximum value (tallest height).

Step4: Identify the tallest height

The right - most end of the whisker is at \(55\).

Step5: Recall the third quartile property

The right - hand side of the box represents the third quartile \(Q_3\).

Step6: Identify the third quartile

The right - hand side of the box is at \(45\).

Answer:

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