Question

3. Consider the following box plot.

(a) Find the interquartile range.
(b) What percent of values is included in the interquartile range?

Answer 1

A) 2.5

B) 50% of the values.

Explanation:

A)

The range of data starts at 2.0 and ends at 4.5 (i know it's a bit hard to tell lol), by subtracting 2.0 from 4.5 you get the interquartile range, 2.5.

B)

25% of the values are mentioned in the box plot before the median, and 25% of the values are mentioned after the median in the box plot. This together gives you a sum of 50% of the values. Another way to do it is that outside of the interquartile range is 50% of the values.