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Statistical Glossary

Geometric Mean and Mean (comparison):

The quantitative distinction between the geometric mean and the mean can be illustrated by the following table:

Data set Mean Geometric Mean
1, 1, 1 1 1
1, 2, 3 2  1.6
1, 2, 1000  334  6.7

The analytical relation between the mean (M) and the geometric mean (GM) is the following:


logGM(x1,...,xN) = M(log(x1),...,log(xN))
GM (x1,...,xN) = eM(log(x1), ... ,log(xN)

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