Question

a histogram shows data that is skewed to the right. which most likely describes the relationship between the mean and the median?
the mean is greater than the median. the rightmost values in the data set raise the mean more than the median.
the median is greater than the mean. the rightmost values in the data set raise the median more than the mean.
the mean is greater than the median. the leftmost values in the data set lower the median more than the mean.
the median is greater than the mean. the leftmost values in the data set lower the mean more than the median.

Explanation:

For a right - skewed (positively skewed) data set, the mean is affected more by extreme values (outliers) than the median. The right - most (larger) values in the data set pull the mean upwards. The median is the middle value and is less affected by these extreme right - hand values. So, in a right - skewed distribution, the mean is greater than the median because the rightmost values raise the mean more than 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.