AP® Statistics

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Shot in the Dark

APSTAT-QZNPXV

Basketball Scores Dot Net records the results of every game in the National Basketball Association history. List X contains the amount of points scored by each winning team and list Y contains the amount of points scored by each losing team (assume that there are no ties in the NBA).

Which of the following MUST be true about X and Y?

A

The maximum of X is greater than the maximum of Y and the standard deviation of X is greater than the standard deviation of Y.

B

The mode of X is greater than the mode of Y and the minimum of X is greater than the minimum of Y.

C

The interquartile range of X is greater than the interquartile range of Y and the variance of X is less than the variance of Y.

D

The mean of X is greater than the mean of Y and the minimum of Y is less than the minimum of X.

E

The maximum of X is greater than the maximum of Y and the range of X is greater than the range of Y.