QQuestionStatistics
QuestionStatistics
Why is the median resistant, but the mean is not?
Choose the correct answer below.
A. The mean is not resistant because when data are skewed, there are extreme values in the tail, which tend to pull the mean in the direction of the tail. The median is resistant because the median of a variable is the value that lies in the middle of the data when arranged in ascending order and does not depend on the extreme values of the data.
B. The mean is not resistant because it is dependent upon the sample size, n. The larger n is, the smaller the mean becomes. However, the median is resistant because it is not dependent on the sample size, n.
C. The mean is not resistant because when data are skewed, there are extreme values in the tail, which do not pull the mean in that direction. However, the median is pulled in the direction of the extreme values, making it resistant.
D. The median is resistant, while the mean is not, because when there are extreme values in the tail, the value of the median changes while the mean does not.
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Step 1
The median is resistant because when data are skewed, there are extreme values in the tail, which do not pull the median in that direction. However, the mean is not resistant and is affected by these extreme values, getting pulled in the direction of the tail. The median of a variable is the value that lies in the middle of the data when arranged in ascending order and does not depend on the extreme values of the data.
Final Answer
A is the correct answer.
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