Proof of Corrected Mean Formula

By Kardi Teknomo, PhD .

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