justifying a better measure of center\nexplain when the median of a data set is a better measure of center…

Answer:

The median is a better measure of center than the mean when the data set has outliers or is skewed. In the presence of outliers, the mean is pulled in the direction of the extreme values, while the median, which is the middle - value when the data is ordered, is not affected by these extreme values. For example, in a data set of salaries where a few individuals have extremely high salaries (outliers), the median salary will give a more representative value of the "typical" salary compared to the mean, which will be inflated by the high - value outliers.

Brief Explanations:

Outliers and skewness affect mean but not median. Median represents middle value, making it more robust for non - symmetric data.