Ages

A box plot showing ages of different students in maths class. outliers are 20 and 28. Median is 22.5. Lower quartile is 21.5  and upper quartile is 24.5.

The ages of 8 different students in a college math class were used to make the box plot shown above. Which of the following numbers below is the range of the ages?
A.
18
B.
5
C.
3
D.
8

The range is calculated by subtracting the lowest value from the highest value. In this case, the lowest value is the lower whisker, which is not given. However, we know that the outliers are 20 and 28, so the lower whisker is less than 20.

Therefore, the range can be calculated by subtracting the lower whisker from the upper whisker, which is the upper quartile (24.5).

Range = 24.5 - lower whisker

Since the only answer choice that falls within the range of possible values is 8, the answer is D.