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For the options given,
As n increases from 2(option A) to 5(option D), the median is 10 but the mean increases.

for n = 2 (Option A), Average = (44 + 50 + 16 +21)/14 = 131/14 (which is smaller than 10)
Now as increase n by 1, we're adding a 8 to the Sum and thus the average will only decrease below the value above.

So, options (A) to (D) are ruled out.
We don't need to verify option (E) as there is just one correct answer.

(E) is the answer.

By the way, when n = 6 the median drops to 9. So, it's possible that average is above 9 in this case. But there is no point calculating it because it doesn't matter.

_________________
Aneesh Bangia
GMAT Math Coach
aneesh.bangia@gmail.com

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