Question

what percentage of the data values falls between the values of 3 and 24 in the data set shown?
0 5 10 15 20 25
25%
50%
75%
100%

Explanation:

Step1: Identify quartiles from box - plot

In a box - plot, the left - hand side of the box is the first quartile ($Q_1$), the line inside the box is the median ($Q_2$), and the right - hand side of the box is the third quartile ($Q_3$). The minimum value is at the left - most end of the whisker and the maximum value is at the right - most end of the whisker. Here, the minimum value of the data set is 3 (left - most whisker end) and the maximum value is 24 (right - most whisker end).

Step2: Calculate percentage of data

Since the entire data set is between the minimum and maximum values, 100% of the data values fall between 3 and 24.

Answer:

100%