Proof Recursive Average Formula

By Kardi Teknomo, PhD .

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The development and inductive proof of formula (3) is as follow:

For :

For :

For :

For :

For :

For :

(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