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Ladies and Gentlemen! First time posting in this forum,

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Ladies and Gentlemen! First time posting in this forum, [#permalink] New post 23 Feb 2011, 09:08
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Ladies and Gentlemen!

First time posting in this forum, please forgive me if I am in the wrong forum or this question has been posted before.

I was reviewing the diagnostic test I took from the GMAT Club when I found this question:

Set S consists of N elements. If N \gt 2 , what is the standard deviation of S ?

1. The mean and median of the set are equal
2. The difference between any two elements of the set is equal

Note: I talk about the answer below, so if you want to solve yourself, do not look underneath :-D

I understand why Statement 1 is insufficient. But if all you kind folks can explain why Statement 2 is sufficient, I would be eternally grateful. Thank you very much.
[Reveal] Spoiler: OA

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Re: GMAT Club Diagnostic Test DS Question #17 [#permalink] New post 23 Feb 2011, 09:23
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Guess 2nd statement is saying all the elements are the same and difference between any two element is 0. Thus, Std Dev. \sigma=0 because all elements are same.

I took few example:
0,1,1; not good
-1,0,1. not not good.
1,1,1 good.

Can you think of even a single set with at least 3 elements that will have same difference for any pair but the elements aren't equal?
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Re: GMAT Club Diagnostic Test DS Question #17 [#permalink] New post 23 Feb 2011, 09:29
Ah, I understand. Very confusing question I guess. I didn't understand what elements really meant until now. Kudos!
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Re: GMAT Club Diagnostic Test DS Question #17   [#permalink] 23 Feb 2011, 09:29
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