Weighted mean

Given a set of data, X={x₁, x₂, ..., x_n} and corresponding weights, W={w₁, w₂, ..., w_n} the weighted mean is calculated as

<math>

\bar{x} = \frac{ \sum_{i=1}^n w_i \cdot x_i}{\sum_{i=1}^n w_i} </math>

Note that if all the weights are equal, the weighted mean is the same as the arithmetic mean.

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See also: average