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The standard deviation of a certain set of data is 3. If 20

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The standard deviation of a certain set of data is 3. If 20 [#permalink] New post 02 Oct 2005, 03:29
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The standard deviation of a certain set of data is 3. If 20 is 2 standard deviations away from the mean, which of the following values could be the mean of the set of data?

A. 14
B. 20
C. 24
D. 18
E. 25
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 [#permalink] New post 02 Oct 2005, 03:35
1 standard deviation is 3 units
so 2 standard deviations are 6 units

it could be 2 numbers :
20+6 = 26
OR
20-6 = 14

So answer A (14)

GMATT73, I can see that tonight you are on fire ! many questions :-D
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 [#permalink] New post 02 Oct 2005, 16:26
I agree with 14. It could be 26 too, but 26 is not from the answer choice...
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Re: PS Standard Deviation [#permalink] New post 03 Oct 2005, 03:25
GMATT73 wrote:
The standard deviation of a certain set of data is 3. If 20 is 2 standard deviations away from the mean, which of the following values could be the mean of the set of data?

A. 14
B. 20
C. 24
D. 18
E. 25


1 sigma = 3, so 2 sigma = 6
20 is 2 sigma from the mean, so mean could be either 20 + 6 = 26 or
20-6 = 14. And hence A.
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 [#permalink] New post 03 Oct 2005, 05:55
OA is A. Just curious, has anyone ever had to actually calculate standard deviation on an official test? Even if you are scoring towards the upper end of the spectrum??
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 [#permalink] New post 03 Oct 2005, 11:15
don't quote me on this, but I highly doubt that we would have to calculate standard deviations for the GMAT
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 [#permalink] New post 03 Oct 2005, 19:00
The standard deviation calculation is not required in Gmat, however you should know the formula because it could help in some tough PS.
  [#permalink] 03 Oct 2005, 19:00
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The standard deviation of a certain set of data is 3. If 20

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