On coach Wooden's basketball team:

- Meghan is the tallest player,
- Meghan's height is $188 \mathrm{~cm}$, and
- Avery is the shortest player.

When used with the information above, which of the following single statements is enough to determine Avery's height?

(A) The median of the players' heights is $170 \mathrm{~cm}$

(B) The mode of the players' heights is $160 \mathrm{~cm}$

(C) The mean of the players' heights is $165 \mathrm{~cm}$

(D) The range of the players' heights is $33 \mathrm{~cm}$

(E) There are 10 players on the team
The range of the players' heights is equal to the difference between the height of the tallest player and the height of the shortest player.

Since the tallest player, Meghan, has a height of $188 \mathrm{~cm}$, and the range of the players' heights is $33 \mathrm{~cm}$, then the shortest player, Avery, has a height of $188-33=155 \mathrm{~cm}$.

Thus, answer (D) is a statement which provides enough information to determine Avery's height, and so must be the only one of the five statements which is enough to determine Avery's height.

(Can you give a reason why each of the other four answers does not provide enough information to determine Avery's height?)

ANSWER: (D)