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Chapter 3: Q. 3.149 (page 136)

Identify an advantage that the median and interquartile range have over the mean and standard deviation, respectively.

Short Answer

Expert verified

The advantage is that median and interquartile range are resistant to outliers.

Step by step solution

01

Given Information

We have to find out the advantage of median and interquartile range over the mean and standard deviation.

02

Explanation

Firstly, take an example that you have20students with their weight but one of the child weight is considered wrong it was taken 99but it was just 39then mean will have a huge difference but median will be same which shows that median is not changed by outliers.

The standard deviation is more changed by outliers as it is the square of differences between sample values and mean but the interquartile range is not changed because like median it does not take extreme values.

Hence, the advantage of the median and interquartile range over the mean and standard deviation is that they are not changed by outliers.

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