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DS Q There is set of consecutive even integers. What is S.D?

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DS Q There is set of consecutive even integers. What is S.D? [#permalink] New post 31 Jan 2012, 02:28
There is a set of consecutive even integers. What is the Standard deviation of the set ?
1)There are 39 elements in the set.
2)The mean of the set is 382.

The answer to this question is A. Can someone explain the logic behind this ?
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Re: DS Q There is set of consecutive even integers. What is S.D? [#permalink] New post 31 Jan 2012, 03:10
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Hi

In order to solve this problem we need to know the mean & the terms of the sample.

Statement A :
Gives us 39 consecutive even elements
Eg : 0,2,4,.....
To Compute SD
1. Compute the difference of each data point from the mean, and square the result of each
2. compute the average of these values, and take the square root

Which we can calculate easily from the given data

Thus statement A is sufficient

Statement B
Mean is 382 only gives us the mid point of the set but not the number of elements hence we cannot calculate the SD

Thus statement B is insufficient

Hope this helps
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Re: DS Q There is set of consecutive even integers. What is S.D? [#permalink] New post 31 Jan 2012, 08:19
Thanks man
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Re: DS Q There is set of consecutive even integers. What is S.D?   [#permalink] 31 Jan 2012, 08:19
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