Explain when the median of a data set is a better measure of center than the mean.

The median would be a better measure of central tendency when the data is skewed (or if the frequency distribution for the data is skewed).

Sample Response: When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

What did you include in your response? Check all that apply.

The dot plot or histogram will be skewed.

The mean is pulled up or down toward the tail.

The mean is affected more than the median.