Weighted geometric mean
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In statistics, given a set of data,
- X = { x1, x2, ..., xn}
and corresponding weights,
- W = { w1, w2, ..., wn}
the weighted geometric mean is
If all the weights are equal, the weighted geometric mean is equal to thegeometric 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.