Mean and Max

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Mean and Max

by gvosough » Sun Sep 18, 2011 12:55 pm
is the mean of a set necessarily smaller than the maximum number in the set?
thank you

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by Brent@GMATPrepNow » Sun Sep 18, 2011 1:45 pm
gvosough wrote:is the mean of a set necessarily smaller than the maximum number in the set?
thank you
The mean will always be less than or equal to the greatest number in a set.
For example, the mean of {2, 2, 2, 2, 2} is 2 and the greatest value is 2.

To further generalize we can say that:

least value in set A < mean of set A < greatest value in set A

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