Q. 3.150 - Elementary Statistics

Question

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

Step-by-Step Solution

Answer

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

Step 1: 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. 

Step 2: 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 middle$50\%$ of the values.

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