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Set X has 5 integers: a, b, c, d, and e. If m is the mean

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Set X has 5 integers: a, b, c, d, and e. If m is the mean [#permalink] New post 22 Feb 2012, 21:22
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Set X has 5 integers: a , b , c , d , and e . If m is the mean and D , where D = \sqrt{\frac{(a-m)^2+(b-m)^2+(c-m)^2+(d-m)^2+(e-m)^2}{5}} , is the standard deviation of the set X , is D \gt 2 ?

a , b , c , d , and e are different integers
m is an integer not equal to any elements of the set X

Strategy for reaching answer C. Can eliminate A B & D. Stuck between C & E. If testing numbers how to select appropriate numbers???????? how to be sure of the minimum range???
[Reveal] Spoiler: OA
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Re: SD [#permalink] New post 22 Feb 2012, 21:39
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GMATPASSION wrote:
Set X has 5 integers: a , b , c , d , and e . If m is the mean and D , where D = \sqrt{\frac{(a-m)^2+(b-m)^2+(c-m)^2+(d-m)^2+(e-m)^2}{5}} , is the standard deviation of the set X , is D \gt 2 ?

a , b , c , d , and e are different integers
m is an integer not equal to any elements of the set X

Strategy for reaching answer C. Can eliminate A B & D. Stuck between C & E. If testing numbers how to select appropriate numbers???????? how to be sure of the minimum range???


Discussed here: set-x-has-5-integers-a-b-c-d-and-e-if-m-is-the-mean-126103.html

Let me note though that I wouldn't worry about this question at all, since you won't see anything like this on the real test.

Generally for the GMAT you only need to understand the concept of SD: you won't be asked to actually calculate the standard deviation of a set on the GMAT. So, what is the main thing you should know about it? Standard deviation shows how much variation there is from the mean, how widespread a given set is. So, a low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.

Check this for more: math-standard-deviation-87905.html

PS questions on SD: ps-questions-about-standard-deviation-85897.html
DS questions on SD: ds-questions-about-standard-deviation-85896.html

Hope it helps.
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Re: SD   [#permalink] 22 Feb 2012, 21:39
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Set X has 5 integers: a, b, c, d, and e. If m is the mean

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