Question

For which distributions is the median the best measure of center? Select each correct answer. Y 20 30 18 25 16 20 14 15+ 12 10+ 10- 5+ 8 0 6 4 2 X 0 Y 24 20 22 18 20 = 16 18 14 16- 12 14 10 12 8 10 6 B 4 2 4 -X 2​

Answer 1

The median is the best measure of center for distributions C and D.

Explanation:

The median is the best measure of center for skewed distributions or distributions with outliers because it is a robust statistic, meaning that outliers and skewed data have little effect on the median.

Meanwhile, the mean is a good measure of center for symmetric distributions since it is non-robust.

Answer A has a roughly symmetric distribution, and answer B has a uniform distribution.

Answer C has a left-skewed distribution, and answer D seems to have a right-skewed distribution (since the right tail is longer than the left tail).

Therefore, the median would be the best measure of center for choices C and D.