Question

a 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 median

From the plot, the median height is at the value where the line inside the box is located. Let's assume from the scale on the x - axis (not fully visible in the provided image but if we assume standard box - and - whisker plot reading), if the line inside the box is at 35 cm, the median height is 35 cm.

Step3: Recall maximum value location

The end of the right - hand whisker represents the maximum (tallest) value. Let's assume it is at 55 cm.

Step4: Recall third - quartile location

The right - hand edge of the box represents the third quartile ($Q_3$). Let's assume it is at 45 cm.

Answer:

(a) 35 cm
(b) 55 cm
(c) 45 cm