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Central limit theorem

The central limit theorem states that when you average sets of numbers, the distribution of the sets will tend towards a normal distribution. It is particularly useful in building control charts where averaging subgroups enables control limits to be better defined and improves the value of the chart. 

A simple example of how the central limit theorem works is in the distribution of scores from increasing numbers of dice throws, as below.

See also:

Variation, SPC, Histogram, Control Chart

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