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Weighted mean
(Redirected from Weighted average)
In statistics, given a set of data,
- X = { x1, x2, ..., xn}
and corresponding weights,
- W = { w1, w2, ..., wn}
the weighted mean is calculated as
Note that if all the weights are equal, the weighted mean is the same as the arithmetic mean. While weighted means generally behave in a similar fashion to arithmetic means, they do have a few counter-intuitive properties, as captured for instance in Simpson's paradox.
Weighted versions of other means can also be calculated. Examples of such weighted means include the weighted geometric mean and the weighted harmonic mean.
See also
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details