8
lesson pretestMultiple Choice

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Question 8 • Mathematics III

A histogram shows data that is skewed to the right. Which most likely describes the relationship between the mean and the median?

Answer
A
The mean is greater than the median. The rightmost values in the data set raise the mean more than the median.
B
The median is greater than the mean. The leftmost values in the data set lower the mean more than the median.
C
The mean is greater than the median. The leftmost values in the data set lower the median more than the mean.
D
The median is greater than the mean. The rightmost values in the data set raise the median more than the mean.

Explanation

In a right-skewed distribution, a few unusually large values stretch the tail to the right. These high values pull the mean upward more than they affect the median, which depends on the middle value in the ordered data. Therefore, the mean is greater than the median, as choice B states.

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