Question

What is the interquartile range of the data in the box plot below?

Answer 1

interquartile range = 12

Option D is correct option.

Explanation:

We need to determine the interquartile range of the data in the box plot below.

The boxplot is made up of

Minimum Value, First Quartile, Median, Third Quartile and Maximum Value

Looking at the box plot, we get:

Minimum Value: 72

First Quartile: 73

Median: 80

Third Quartile: 85

Maximum Value: 95

The formula used to find interquartile range is:
`Interquartile\: Range=Third\;Quartile-First\:Quartile`

Putting values of First Quartile: 73 and Third Quartile: 85 we can find interquartile range

`Interquartile\: Range=Third\;Quartile-First\:Quartile\\Interquartile\: Range=85-73\\Interquartile\: Range=12`

SO, we get interquartile range = 12

Option D is correct option.