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SD good Q

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by anksgupta » Fri Jun 26, 2009 6:04 am
A set of data consists of the following 5 numbers : {0,2,4,6,8}

What 2 no.s if added to create a set of 7, will result in SD that is closest to the SD for set of 5 original nos.

1. -1,9
2. 4,4
3. 3,5
4. 2,6
5. 0,8
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by DanaJ » Fri Jun 26, 2009 7:53 am
A quick look at the set you provided allows us to determine that the average of the set is 4.
The SD is actually a measurement of the average distance between the numbers of a set and the average of said set.
In this case, the SD is around 2. something. This is because the distance between 4 and (2 and 6) is 2, while the distance between 4 and (0 and 8) is 4. The average distance should be something like 3, but since we also have a 4 in the set (which is also the average - so the distance between 4 and 4 is zero), the SD is tilted towards 2 a little.

So you're basically looking for the set of numbers that are kind of 2 points away from the average and your best bet would be, IMHO, 2 and 6.

I may be wrong though, since statistics is not my favorite field.
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by ssmiles08 » Fri Jun 26, 2009 12:14 pm
wow these kind of questions have me terrified :? Do these types have a realistic chance of appearing on the GMAT...the only reason I ask so is because it seems like you sort of have to find the actual standard deviation...unless there is some mystery method involved i haven't figured out yet??
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by Claret » Fri Jun 26, 2009 12:23 pm
Yes!! These questions have a fairly decent chance of appearing on the GMAT.

Infact i came across 2 SD questions on the gmat both on similar lines as the above question!!

I even remember the questions but revealing them would be against the gmac non-disclosure agreement !!
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by ssmiles08 » Fri Jun 26, 2009 12:26 pm
Claret wrote:Yes!! These questions have a fairly decent chance of appearing on the GMAT.

Infact i came across 2 SD questions on the gmat both on similar lines as the above question!!

I even remember the questions but revealing them would be against the gmac non-disclosure agreement !!
oh boy...fantastic (obvious sarcasm)........better get cracking then! Thanks Claret! Congrats on your GMAT score btw! it is still pretty darn good :)
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by Claret » Fri Jun 26, 2009 12:31 pm
thanks ssmiles08 ! i m going to re-take the test though !!

btw when is ur test ?
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by ssmiles08 » Fri Jun 26, 2009 12:39 pm
Claret wrote:thanks ssmiles08 ! i m going to re-take the test though !!

btw when is ur test ?
I am hoping for sometime in July...haven't registered yet...I have just started my verbal prep...so that will have to run its course and we'll see :?

apologies to anksgupta, for hijacking the thread for a little bit...hopefully you don't mind! :)
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by niraj_a » Fri Jun 26, 2009 12:39 pm
im thinking its 4 and 4 because since the difference between the remaining numbers i.e. 2 wont change this way, the SD wont change either.

did i get it right?
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by Claret » Fri Jun 26, 2009 12:48 pm
ssmiles08 wrote:
I am hoping for sometime in July...haven't registered yet...I have just started my verbal prep...so that will have to run its course and we'll see :?
Seeing your detailed explanations of math questions makes me think u ll definitely crack the test!!

All the very best :)
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by anksgupta » Fri Jun 26, 2009 12:53 pm
OA is D
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