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GMAT PREP Std deviation

Expert replies
Source: — Data Sufficiency |

Re: GMAT PREP Std deviation

by kiranlegend » Tue Aug 19, 2008 10:57 am
warlock wrote:can anyone explain me this problem

thank you
is it A?
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by warlock » Tue Aug 19, 2008 11:00 am
yes...what is the logic involved?
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by kiranlegend » Tue Aug 19, 2008 11:04 am
warlock wrote:yes...what is the logic involved?
A says that 30 % was removed from every tank.. so standard deviation remains the same and it will be 70% of 10 i.e., 7

with B we can't say anything as we don't know individual tank's volumes..
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by 4meonly » Wed Aug 20, 2008 5:04 am
In this case only average and median will change, SD will remain the same
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by rishi235 » Thu Aug 21, 2008 8:49 am
Hi....gotta doubt here with the actual value of the new SD....I know its not required in this problem but just wanna extrapolate

Heres how i approached it
V = Data Value
A = Average

S.D. = Sqrt{(V1-A)^2+(V2-A)^2+(V3-A)^2+(V4-A)^2+(V5-A)^2+(V6-A)^2}/6

Now, as the new values r 70% of the original....the average will also b 70% of the original
Let V' = New data values
& A' = New average value
So, V1' = 70% of V1, V2' = 70% of V2, etc....

So taking 70% common from the equation inside the sqrt,
We will have

New S.D.' = Sqrt (70%) of Old S.D.

Hence new SD=Sqrt(70) of 10...

Is this right...pls correct me if i'm wrong...

Thanks
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