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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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Most popular questions from this chapter

In each Exercises 3.82-3.90, use the technology of your choice to determine and interpret the range and sample standard deviation for those data sets to which those concepts apply. If those concepts don't apply, explain why. Note: If an exercise contains more than one data set, perform the aforementioned tasks for each data set.

Ballot Preferences. In Issue 338 of the Amstat News, then president of the American Statistical Association, F. Scheuren reported the results of a survey on how members would prefer to receive ballots in annual elections. On the WeissStats site, you will find data for preference and highest degree obtained for the 566 respondents.

Fill in the blanks: Roughly, when arranged in increasing order, the uppermost 25%of the dataset are greater than or equal to _______ .

What does Chebyshev's rule say about the percentage of observations that lie within one standard deviation to either side of the mean? Discuss your answer.

Which measure of variation is preferred when

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(b) the median is used as a measure of center?

Complete the following statement: The descriptive measure is resistant if .......
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