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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 $1st$ and $3rd$ quartiles.

B

The mean is less than the median.

C

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

D

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

E

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