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.
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993