Question

What is the interquartile range of the following data set? 300, 785, 670, 187, 760, 724

A)598
B)424
C)460

Answer 1

The answer should be c

Answer 2

C) 460

Explanation:

The first step is to sort the data in ascending order:

187; 300; 670; 724; 760; 724

Then find the median separates the first and second half of the data. In this case it is between 670 and 724.

There are three values below the median, and the middle one, 300, is the first quartile.

There are three values above the median, and the middle one, 760, is the third quartile.

The interquartile range is the difference between the first and the third quartile:

`760-300=460`