A smooth distribution with one mode is negatively skewed (skewed to the left). The median of the distribution is $65. Which of the following is a reasonable value for the distribution mean?
A)$76
B)$54
C)$81
D)$65

Question

Quizplus · Accepted Answer

Since the distribution is negatively skewed, the mean will be less than the median. Therefore, option B of $54 is the most reasonable value for the mean. Option A of $76 and option C of $81 are much higher than the median and would result in a positively skewed distribution. Option D of $65 is the median and not necessarily the mean.

A Smooth Distribution with One Mode Is Negatively Skewed (Skewed