Given the histogram below for a set of data, which statement is true?
A) For the set of data shown, the mean and the median are about equal.
B) For the set of data shown, the mean is greater than the median.
C) For the set of data shown, the median is greater than the mean.
D) For the set of data shown, the relationship between the mean and the median cannot be determined.

Question

Given the histogram below for a set of data, which statement is true? 
A) For the set of data shown, the mean and the median are about equal. 
B) For the set of data shown, the mean is greater than the median. 
C) For the set of data shown, the median is greater than the mean. 
D) For the set of data shown, the relationship between the mean and the median cannot be determined.

Quizplus · Accepted Answer

In a histogram with a positively skewed distribution, the mean is greater than the median. This is because the mean is influenced by outliers on the right side of the distribution, which pull the mean higher, while the median is not affected by outliers. Therefore, we can conclude that for the set of data shown in the histogram, the mean is greater than the median.

Given the Histogram Below for a Set of Data, Which