Question

Shubham asks each of his classmates how long it takes them to get to school in the morning. The following data shows their responses.

Time in minutes:

Which measure, range or interquartile range, would be more appropriate to use to describe the variation of the data?
Responses

A The range because it is less sensitive to outliers.The range because it is less sensitive to outliers.

B The range because it is more sensitive to outliers.The range because it is more sensitive to outliers.

C The interquartile range because it is less sensitive to outliers.The interquartile range because it is less sensitive to outliers.

D The interquartile range because it is more sensitive to outliers.

Answer 1

C — The interquartile range because it is less sensitive to outliers.

The IQR measures spread of the middle 50% of values, so extreme minimums or maximums don't affect it, while the range uses the min and max and is easily distorted by outliers.