Question

The quartiles of a data set are Q1 =50, Q2 = 72, Q3 = 110, and Q4 = 140. Find the interquartile range.

Answer 1

Interquartile Range is always Q3 - Q1. Therefore, using the numbers from above to represent Q3 and Q1 the answer would look like this:

IQR = Q3 - Q1 = 110 - 50 = 60

Final Answer: 60

Answer 2

Answer: 60

Explanation:

Given : The quartiles of a data set are
`Q_1 =50,\ Q_2 = 72,\ Q_3 = 110,\  and\ Q_4 = 140.`

The interquartile range gives the range of central 50% of ordered data values . It does not affected by the outliers (extreme values) , therefore it is considered as better measure of spread of data than range.

Formula to find the interquartile range :

`IQR=Q_3-Q_1=110-50=60`

Hence, the interquartile range = 60