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Weighted Geometric Mean
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and corresponding Weights ,

W


the weighted geometric mean is calculated as

: \bar{x} = \left(\prod_{i=1}^n x_i^{w_i} ight)^{1 / \sum_{i=1}^n w_i} = \quad \exp \left( rac{1}{\sum_{i=1}^n w_i} \; \sum_{i=1}^n w_i \ln x_i ight)

Note that if all the weights are equal, the weighted geometric mean is the same as the Geometric Mean .

Weighted versions of other means can also be calculated. Probably the best known weighted mean is the weighted arithmetic mean, usually simply called the Weighted Mean . Another example of a weighted mean is the Weighted Harmonic Mean .


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