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Chapter 3: Q. 3.150 (page 136)

Explain why minimum and maximum observations are added to the three quartiles to describe better the variation in a data set.

Short Answer

Expert verified

The minimum and maximum observations are added because their difference denotes the variation in data.

Step by step solution

01

Given Information

We have to find out the reason that why minimum and maximum observations are added to the three quartiles to describe better the variation in a data set.

02

Explanation

The difference between the minimum and maximum observations help to denote the Interquartile range and fluctuations in the data. The large difference between the observations mean large variation and that is why we always prefer small difference.

It is used to find the interquartile range which is a measure of spread of middle50%of the values.

Hence, minimum and maximum observation are added to three quartile because it gives idea about interquartile range.

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