Question

(a) what is the difference of the longest distance and the shortest distance training ride? (that is, what is the range of the data?)
(b) which of these best describes the distances (in kilometers) of yolandas training rides?

there were more rides with a distance under 30 than with a distance over 30.
there were more rides with a distance over 30 than with a distance under 30.
the same number of rides had a distance under 30 as had a distance over 30.
(c) which of the following intervals gives the lowest 25% of the data?

10 to 21
21 to 23
21 to 26
23 to 26

Explanation:

Step1: Find the range

The range is calculated as \( \text{Range}=\text{Maximum value}-\text{Minimum value} \).
From the box - and - whisker plot, the maximum value of the data is \( 40 \) and the minimum value is \( 21 \).
So, \( \text{Range}=40 - 21 \).

Step2: Calculate the result

\( 40-21 = 19 \). But wait, let's re - check the box - and - whisker plot. The correct maximum is \( 40 \) and the correct minimum is \( 21 \). Wait, no! Looking at the scale: each mark is \( 5 \) units. The minimum is \( 21 \) and the maximum is \( 40 \). So \( 40-21=19 \). No, wait, another way: the range is the difference between the maximum and minimum. From the plot, max \( = 40 \), min \( = 21 \).

Answer:

\( 19 \)