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Weighted arithmetic mean calculator

With this calculator you will calculate the weighted arithmetic mean.

To get the result, enter the collected data in the text field. Each element must be separated by a comma.

Weighted arithmetic mean calculator

Weighted arithmetic mean information

Weighted arithmetic mean – mean of items assigned different weights (meanings) such that more weighted items have a greater effect on the mean. If all weights are the same (all elements are equally significant), then the weighted average equals the given average. In different applications, the mean can be calculated in different ways (e.g. arithmetic mean, geometric mean, etc.), therefore the specific formula for the weighted mean depends on the type of mean.

Formula for the weighted arithmetic mean:

$$\displaystyle \bar{x}_w = \displaystyle \frac{\displaystyle\sum^n_{i=1}{w_ix_i}}{\displaystyle\sum^n_{i=1}{w_i}}=\displaystyle\frac{w_1x_1+w_2x_2+...+w_nx_n }{w_1+w_2+...+w_n}$$

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