Weighted geometric mean
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In statistics, the weighted geometric mean is a generalization of both the geometric mean and the weighted arithmetic mean.
Given a sample and weights , it is calculated as:
The second form above illustrates that the logarithm of the geometric mean is the weighted arithmetic mean of the logarithms of the individual values. If all the weights are equal, the weighted geometric mean simplifies to the ordinary unweighted geometric mean.
See also[]
- Average
- Central tendency
- Summary statistics
- Weighted arithmetic mean
- Weighted harmonic mean
External links[]
Categories:
- Means
- Mathematical analysis
- Statistics stubs
- Non-Newtonian calculus