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A set includes following number: 2, 4, 8 ,10 ,12, and X.

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A set includes following number: 2, 4, 8 ,10 ,12, and X. [#permalink] New post 03 Oct 2004, 09:08
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A
B
C
D
E

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A set includes following number: 2, 4, 8 ,10 ,12, and X. What is the value of x?

(1) median and mean of the set is the same

(2) x <> 16
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 [#permalink] New post 03 Oct 2004, 09:23
What's the symbol in statement B for ??
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 [#permalink] New post 03 Oct 2004, 09:32
Even I didnt get what X<> stands for.
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 [#permalink] New post 03 Oct 2004, 09:40
I think <> means "not equal to"
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 [#permalink] New post 03 Oct 2004, 09:50
I don't think that would account for anything in this problem...probably a < or a > and both were used mistakenly.
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 [#permalink] New post 03 Oct 2004, 11:35
The answer is C is stem 2 reads X<16 or >16 (either one of them).
Else E (if <> means NOT equal to)

per 1), we have two possibilities...

(x+10)/2 = (36+x)/6 => x= 13

or

(8+10)/2 = (36+x)/6 => x= 18. Two possibilities, thus insuff.

2) is clearly insuff.

Both combined, as mentioned earlier will be C or E.
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 [#permalink] New post 03 Oct 2004, 11:54
Sorry, that was meant to say < 16.

Venksune, I think the 1st eqn should:

(8+x)/2 = (36+x)/6 ...... which gives x as 7.

Either way, wont change the answer !

C is the OA
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 [#permalink] New post 06 Oct 2004, 03:30
I am sorry guys I do not understand how you assess the median here ??
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 [#permalink] New post 06 Oct 2004, 09:25
Where did you get the OA for this question? I mean it's from the real thing..I had this question. My answer is E.
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 [#permalink] New post 06 Oct 2004, 10:26
If X < 16, then it will be difficult to know its value given the two information. because the changing value of X would give us different median and therefore I would go for E. It is only when is X is greater than 16, that
(36 + x)/6 = 9, and x = 18

I would go for E, given the information you have provided
  [#permalink] 06 Oct 2004, 10:26
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