If a data set is skewed then
A)the mean is the most appropriate measure of central tendency.
B)the mean is the most appropriate measure of dispersion.
C)the median is the most appropriate measure of central tendency.
D)the median is the most appropriate measure of dispersion.

Question

Quizplus · Accepted Answer

Skewed data means that the distribution is not symmetrical and has a long tail on one side. In this case, the median is a better measure of central tendency than the mean because it is not affected by extreme values. The mean is influenced by outliers and may not represent the typical value of the data set. Choice A is incorrect because the mean is not appropriate for skewed data. Choice B and D are incorrect because measures of dispersion such as variance and standard deviation are not affected by the skewness of the data.

If a Data Set Is Skewed Then