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Mean, Median, and Mode 2

ACTMAT-NY9ZXH

Five teenagers (ages are integers between 13 and 19, inclusive) form a committee.

If the mean age of the teenagers is 16 and both the median age and (only) mode age is 17, which of the following is NOT possible?

A

The oldest teenager in the committee is 19.

B

The youngest teenager in the committee is 14.

C

The oldest teenager in the committee is 17.

D

The youngest teenager in the committee is 15.

E

The sum of the ages of the two youngest teenagers in the committee is 27.