Question

Why is the median? resistant, but the mean is? not? Choose the correct answer below. A. 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. B. 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. C. 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. D. 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.

Answer 1

The mean uses all data values while median is middle value. Mean is most affected by extreme values while on median, these extreme values have low or no effect. Therefore, correct option is:

B. 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.