A weighted average is an average that can attach more importance (weight) to some observations than to others. Suppose that the importance of the observation xj is represented by the non-negative numerical coefficient wj (the weight) (j = 1, 2,…, n). The weighted average is
See also moving average.
The value assessed from a number of samples, where each sample is given a different value of importance according to its reliability.
An average giving weights to different numbers in proportion to their importance. The weighted average of n numbers x1, x2,…, xn is found by taking the sum of the numbers times their weights w1, w2,…, wN, divided by the sum of the weights, and so
The unweighted average has wi = 1, i = 1,…, n.
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