Question

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

Explanation:

The median is better when data has outliers or is skewed. Outliers can greatly affect the mean, pulling it in their direction. The median, being the middle - value, is not influenced by extreme values. For example, in a data set of salaries where a few individuals have extremely high salaries, the median would give a more representative "center" of the typical salary compared to the mean.

Answer:

The median of a data set is a better measure of center than the mean when the data set has outliers or is skewed.