Explain why the median is resistant to extreme observations, but the mean is nonresistant.

Explain why the median is resistant to extreme observations, but the mean is nonresistant.



Answer: The median is resistant because it is only based on the middle one or two observations of the ordered list. The mean is sensitive to the influence of a few extreme observations. Even if there are no outliers a skewed distribution will pull the mean toward the long tail.


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