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 a better measure of center than the mean when the data set has outliers (extreme values) or is skewed (not symmetric). Outliers or skewness can heavily influence the mean, pulling it towards the extreme values, while the median, being the middle value, is resistant to such extreme values and better represents the typical value in the data set.

Answer:

The median is a better measure of center than the mean when the data set contains outliers (extreme values) or is skewed (not symmetric), as the median is resistant to extreme values and better represents the typical value in such cases.