Question

Salaries of professional baseball players take on a right-skewed distribution. If we were to take both the mean and median of this distribution, what would be true about the relationship between these two measures?

A. There is not enough information provided to answer.
B. Mean salary is equal to median salary
C. Mean salary is greater than median salary
D. Mean salary is less than median salary


PLEASE HELP

Answer 1

A right-skewed distribution is one where the "tail" of the graph is stretched out to the right.

It looks something like this:

.'|||'-.......

Notice that most values are clumped together on the left, with very few on the right.

So the mean (or the average value) is going to be closer to the place with more values (the left). The median (or the middle) is going to stay in the center.

This means that the mean will be located to the left of the median. In other words, the mean < median.