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Sets A and B have the same number of terms, is the standard

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Sets A and B have the same number of terms, is the standard [#permalink] New post 12 Nov 2011, 17:05
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

36% (02:07) correct 64% (00:49) wrong based on 11 sessions
Can anyone explain this one to me? Maybe I'm not understanding what a set is?

"Sets A and B have the same number of terms, is the standard deviation of set A greater than the standard deviation of set B?"

1. The range of set A is greater than the range of set B.
2. Sets A and B are both evenly spaced sets.
[Reveal] Spoiler: OA

Last edited by Stoneface on 12 Nov 2011, 17:43, edited 1 time in total.
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Re: Help with Veritas question. [#permalink] New post 12 Nov 2011, 17:39
Stoneface, the image isn't showing up. Can you upload it to another site or just type out the question?
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Re: Help with Veritas question. [#permalink] New post 12 Nov 2011, 17:44
Sorry about that. I just retyped the question.
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Re: Help with Veritas question. [#permalink] New post 12 Nov 2011, 18:23
Good question. At first glance, I'll go for answer D.
I'll prefer to hear answer form others since OA looks like C.

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Re: Help with Veritas question. [#permalink] New post 12 Nov 2011, 18:27
Would you mind telling why?

I originally chose B, though I cannot figure my reasoning. If the range differs, then the standard deviation will obviously differ. Then again, how could two sets with different ranges be evenly spaced? I know I'm missing someting simple.
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Re: Help with Veritas question. [#permalink] New post 12 Nov 2011, 19:11
My pick is A.

But working on different examples may be might prove C.

Option B alone cannot win because,
Evenly spaced sets vary in Standard deviation if the difference between the numbers in the set varies.
Ex: set A: { 2 4 6 8 10 }
set B: { 1 2 3 4 5 }
Both are evenly spaced sets but here SD of A increases.

But some where i have learnt that SD of a set with larger range is always bigger than the other.
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Re: Help with Veritas question. [#permalink] New post 12 Nov 2011, 20:34
My goodness, I was reading the problem wrong. I was interpreting it as "equally" spaced, as in one set would be {2, 4, 6} and the other would be {5, 7, 9}.

Par for the course...
Re: Help with Veritas question.   [#permalink] 12 Nov 2011, 20:34
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Sets A and B have the same number of terms, is the standard

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