Sample mean

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A measure of centre for the distribution of a sample of numerical values. The sample mean is the centre of mass of the values in their distribution.

If the n values in a sample are x1, x2, ... , xn, then the sample mean is calculated by adding the values in the sample are then dividing this total by the number of values. In symbols, the sample mean,, is calculated by .

 

For large samples it is recommended that a calculator or software is used to calculate the mean.

The sample mean is a (sample) statistic and is therefore an estimate of the population mean.

See: mean

Curriculum achievement objectives references

Statistical investigation: Levels (6), (7), (8)