A histogram of a set of data indicates that the distribution of the data is skew

Question

A histogram of a set of data indicates that the distribution of the data is skewed right. Which measure of central tendency will likely be larger, the mean or the median? Choose the correct answer below. The median will likely be larger because the extreme values in the left tail tend to pul the median in the opposite direction of the tall. The mean will be larger because the extreme values in the right tail tend to pul the mean in the direction of the tail. The median will likely be larger because the extreme values in the right tail tend to pul the median in the direction of the tail. The mean win likely be larger because the extreme values in the left tail tend to pul the mean in the opposite direction of the tail.

Explanation / Answer

When data are either skewed left or skewed right, there are extreme values in the tail, which tend to pull the mean in the direction of the tail. If the distribution of the data is skewed right, there are large observations in the right tail. These observations tend to increase the value of the mean, while having little effect on the median.

Hence answer is B.

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