Question

When might the inter-quartile range be better for describing a data set than the range?

if the data is evenly distributed
if the data is spread out
if the data has outliers

Answer 1

if the data has outliers

Answer 2

Answer: If the data has outliers

Explanation:

• The range is defined as the difference between the maximum and minimum data values in a data set. It give the estimate of the spread of the data.

• The interquartile range in statistics is defined as the difference between the first and the third quartiles. It also gives the estimate of the spread of the data.

But if a data has outliers then it might not give a true estimation of the spread of data. Then the interquartile range would be better for describing the spread of a data set than the range because in ineterquartile range we exclude the outliers so that the interquartile range works .