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Satisfying the Mean, Mode, and Median for a Set of Ten Numbers

GMAT-NGAK5X

A given set of $10$ numbers has a median of $8$, a mode of $8$, and a range of $10$.

What is the highest possible mean for this set?

A

$10.2$

B

$11.4$

C

$11.8$

D

$12.0$

E

$12.4$