# 88.27 More on spreads and non-arithmetic means

@article{Mitchell20048827MO, title={88.27 More on spreads and non-arithmetic means}, author={Douglas W. Mitchell}, journal={The Mathematical Gazette}, year={2004}, volume={88}, pages={142 - 144} }

88.27 More on spreads and non-arithmetic means Nick Lord [1] points out that (1) if all numbers in a set become proportionately farther from their fixed arithmetic mean (of course increasing their standard deviation), their geometric mean decreases, but (2) in general if the numbers are arbitrarily altered to increase their standard deviation, again with fixed arithmetic mean, their geometric mean may increase or decrease.

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