Average of Measurement Sequence

By Kardi Teknomo, PhD .

< Previous | Next | Contents >

Second Part: Mean and Average Tutorial

In this second part of Mean and Average tutorial , I demonstrate the relationship time-average, delayed-average, moving-average and delayed-moving-average using of average composition diagram and fundamental theorem.

Suppose we have a sequence of measurement that we give notation Average . The index Average of sequence Average is regarded as the position of the element Average . We assume the index of the sequence always start at 1 and increase by natural number up to the last measurement Average . In this case, the sequence have a fixed length Average . Alternatively, the sequence can also dynamically grow over time. When the sequence grows over time, the length Average is not specified.

The topics are the following:

Time Average

Addition or Subtraction of Two Averages

Multiplication of Averages

Distributive Law of Averages

Delayed-Average

Moving-Average

Delayed-Moving-Average

Average Decomposition Diagram

Fundamental Relationship between Averages

Relationship of Time-Average and Moving-average

Relationship of Delayed-Average and Delayed-Moving-average

Relationship of Delayed-Average and Moving-average and Time-Average

Fundamental theorem of average

Shift Property of Average

Relationship of Delayed-Average and Delayed-Moving-Average and Time-Average

Resources on Mean and Average

< Previous | Next | Contents >

Rate this tutorial or give your comments about this tutorial

This tutorial is copyrighted .