Population Mean
The mean of a distribution with probability density function 
is the first raw moment 
, defined by
 |
(1) |
where 
is the expectation value.
For a continuous distribution function, the population mean is given by
 |
(2) |
where 
is the expectation value. Similarly, for a discrete distribution,
 |
(3) |
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 Mean
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Cite this as:
Weisstein, Eric W. "Population Mean." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PopulationMean.html