Question

MATH HELP PLEASE?

Use the box-and-whisker plot shown to answer the following question.



What is the interquartile range?

A.) 4
B.) 6
C.) 9

Answer 1

Long answer short, it's B: 6

Answer 2

The IQR of the given data is 6. Therefore the correct option is B.

Explanation:

The formula for interquartile range is

`IQR=Q_3-Q_1`

In a box plot the left end of line represents the minimum value of data set and right end of line represents the maximum value of data set.

The left end of box represents the first quartile and right end of the box represents the third quartile. The line between the box represent the median.

From the given box plot it is clear that,

`Minimum=7`

`Q_1=9`

`Median=13`

`Q_3=15`

`Maximum=16`

The interquartile range of the data is

`IQR=15-9`

`IQR=6`

The IQR of the given data is 6. Therefore the correct option is B.