Encyclopedia > Weighted mean

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Weighted mean

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

\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.

back to summary statistics -- central tendency

See also: average

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