STD Deviation

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STD Deviation

by shrey2287 » Thu Aug 30, 2012 2:14 am
Is the standard deviation of a certain set greater than
15,000?
1). The range of the set is 25,000
2). The mean of the set is 150,000

OA : A

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by adthedaddy » Thu Aug 30, 2012 4:03 am
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by mehaksal » Sat Sep 01, 2012 12:09 am
so we take ans to b E right?

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by Ian Stewart » Sat Sep 01, 2012 3:36 am
You'd never need to know this on the GMAT, but the standard deviation won't ever be more than half the range. That's quite easy to prove if you have a symmetric set, and not at all easy to prove if you have an asymmetric set. It's also not a widely known or reported property of standard deviation, so there's no way any GMAT test taker could be expected to know it, nor could anyone reasonably be expected to prove it in anything close to 2 minutes.

So that's why the answer is A here, but you absolutely don't need to be even remotely concerned about this for the GMAT. Where is this question from?
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