Median : Experts agree with answer?

[newgmattest]

Set S consists of the following unique integers: -2, 17, 3, n, 2, 15, -3, and -27; which of the following could be the median of set S?
A) 1
B) 9
C) 14
D) 17
E) It Cannot Be Determined

OA : A

[cans]

numbers in order = -27,-3,-2,2,3,15,17,n
if n>3, median=5/2=2.5
if n<3, n can be 1. median=(1+2)/2 = 1.5
n can be 0. median=(0+2)/2 = 1
n can be -1. median=0.5
if n<-3, median=(-2+2)/2 =0
Thus 1 can be the median when n=1
IMO A

[Anurag@Gurome]

Set S consists of the following unique integers: -2, 17, 3, n, 2, 15, -3, and -27; which of the following could be the median of set S?
A) 1
B) 9
C) 14
D) 17
E) It Cannot Be Determined

Arranging all the except n in increasing order : -27, -3, -2, 2, 3, 15, 17

If n > 3, median = (2 + 3)/2 = 2.5 --> Not an option
n cannot be equal to 2 or 3 as the set contains unique integers.
If n = 1, median = (1 + 2)/2 = 1.5 --> Not an option
If n = 0, median = (0 + 2)/2 = 1.0 --> Option A

The correct answer is A.