Proof of Corrected Mean Formula

By Kardi Teknomo, PhD.

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Traditional arithmetic mean formula is
Let give symbol to the sum to simplify the notation, thus we have
After we corrected the measurement, we have
 (Proved)

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These tutorial is copyrighted.

Preferable reference for this tutorial is

Teknomo, Kardi. (2006) Recursive Average and Variance.
http://people.revoledu.com/kardi/tutorial/RecursiveStatistic/index.html