What is the value of n in the list above?

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pmFollowed by: 5 members; Thanked: 6 times

by Vincen » Mon Oct 16, 2017 6:44 am

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?

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Source: Beat The GMAT — Data Sufficiency | Mon Oct 16, 2017 6:44 am

DavidG@VeritasPrep: Legendary Member; Posts: 2663; Joined: Wed Jan 14, 2015 8:25 amFollowed by: 128 members; Location: Boston, MA; Thanked: 1153 times; GMAT Score:770

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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