Average Decomposition Diagram

By Kardi Teknomo, PhD.

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Throughout this tutorial, you have seen the diagram to represent the average. I call this diagram Average Decomposition Diagram (or ADD, in short). It is a simple diagram, which represents the measurement sequence and how we can decompose the average of the measurement sequence into several averages. Average Decomposition Diagram is a very useful tool to visualize relationship between one types of average to another. In the diagram above, , , are averages with length , and respectively. The average for the whole sequence is represented by with length , then the diagram can be read as the length weighted average decomposition as following relationship

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This tutorial is copyrighted.

Preferable reference for this tutorial is

Teknomo, Kardi. Mean and Average. http:\\people.revoledu.com\kardi\ tutorial\BasicMath\Average\