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Range [#permalink] New post 30 Jul 2003, 20:57
Hi fellow GMAT friends,

I just want to clarify my knowledge on range. If there a set of number whose range is zero, are we certain that the standard deviation is zero in this case?

I am confused on this.

I know that range is the largest number minus the smallest number, but how is it related to S.D?

Thank you in advance!
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Re: Range [#permalink] New post 30 Jul 2003, 21:08
boarderlee wrote:
Hi fellow GMAT friends,

I just want to clarify my knowledge on range. If there a set of number whose range is zero, are we certain that the standard deviation is zero in this case?

I am confused on this.

I know that range is the largest number minus the smallest number, but how is it related to S.D?

Thank you in advance!


the "standard deviation" is a measure of dispersion or "how different are the numbers from its average".

A set of numbers with range of zero means that all of the numbers are the same, hence the dispersion of the numbers from its mean is obviously zero.
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MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

Re: Range   [#permalink] 30 Jul 2003, 21:08
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