Free Version
Difficult

Mean vs Median in a Skewed Distribution: Buying Prices of Cars

APSTAT-IHJSNV

A graph (not shown) of the buying prices of cars at a local dealership reveals that the distribution is skewed to the right.

Which of the following statements below is TRUE?

A

The median is the average of the $1\text{st}$ and $3\text{rd}$ quartiles.

B

The mean is less than the median.

C

The value of the $1\text{st}$ quartile minus the minimum is less than the maximum minus the $3\text{rd}$ quartile.

D

There are more buying prices between the $1\text{st}$ quartile and the median than there are between the median and $3\text{rd}$ quartile.

E

There are more buying prices that are greater than the mean than buying prices that are less than the mean.