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:

In a right - skewed distribution, the tail of the distribution extends to the right. The mean is influenced by extreme values. The rightmost (larger) values in the data set pull the mean in the direction of the tail, increasing its value. The median, which is the middle value, is less affected by these extreme right - most values. So, the mean is greater than the median.

Answer:

The mean is greater than the median. The rightmost values in the data set raise the mean more than the median.