The mean of a distribution with probability density function is the first raw moment , defined by
(1)
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where is the expectation value.
For a continuous distribution function, the population mean is given by
(2)
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where is the expectation value. Similarly, for a discrete distribution,
(3)
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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.