When are the population mean and the population median equal?
A) always
B) never
C) if the population distribution is symmetric
D) if the number of observations is even

Question

When are the population mean and the population median equal? ​
A) always
B) never
C) if the population distribution is symmetric
D) if the number of observations is even

Quizplus · Accepted Answer

The population mean and the population median are equal only if the population distribution is symmetric. If the distribution is skewed, the mean and median will be different. If the population distribution is bimodal or has outliers, the median would not necessarily capture the center of the distribution and would be different from the mean. Therefore, option C is the best choice.

When Are the Population Mean and the Population Median Equal