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 or is skewed. Outliers can greatly affect the mean, pulling it in their direction, while the median is the middle - value and is not influenced by extreme values. In skewed distributions, the mean is pulled towards the tail of the distribution, but the median remains in the middle of the ordered data values.

Answer:

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