Population Mean
The mean of a distribution with probability density function P(x) is the first raw moment mu_1^', defined by
| mu=<x>, |
(1)
|
where <f> is the expectation value.
For a continuous distribution function, the population mean is given by
| [画像: mu=intP(x)f(x)dx, ] |
(2)
|
where <x> is the expectation value. Similarly, for a discrete distribution,
The population mean of a distribution is implemented in the Wolfram Language as Mean [dist].
The sample mean is an unbiased estimator for the population mean.
See also
Arithmetic Mean, Mean, Sample MeanExplore with Wolfram|Alpha
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Cite this as:
Weisstein, Eric W. "Population Mean." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PopulationMean.html