Glossary

Geometric Mean and Mean (comparison)

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,…,x_N) = M(log(x₁),…,log(x_N))

GM (x₁,…,x_N) = e^{M(log(x₁), … ,log(x_N)}

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