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What is the value of n in the list above?

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Source: — Data Sufficiency |
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by DavidG@VeritasPrep » Mon Oct 16, 2017 7:35 am
Vincen wrote:n, 15, 12, 9, 20
What is the value of n in the list above?

(1) n> 12
(2) The median of the numbers in the list is 13.

The OA is B.

Experts, can you tell me how can I use statement (2) to get the value of n?
S1: Clearly not sufficient. n could be 13 or 14 or 100, etc.

S2: If there are an odd number of elements, the median is the middle term, meaning the median has to be present in the set. In this set, there are 5 elements, so the median must be in the set, and must be the third term when the values are listed in ascending order. Thus, n will have to be 13, as the median would otherwise not be included in the set! S2 alone is sufficient The answer is B
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