Kardi Teknomo
Kardi Teknomo Kardi Teknomo Kardi Teknomo


Visit Tutorials below:
Adaptive Learning from Histogram
Adjacency matrix
Analytic Hierarchy Process (AHP)
ArcGIS tutorial
Arithmetic Mean
Bayes Theorem
Bootstrap Sampling
Bray Curtis Distance
Break Even Point
Chebyshev Distance
City Block Distance
Conditional Probability
Continued Fraction
Data Analysis from Questionnaire
Data Revival from Statistics
Decimal to Rational
Decision tree
Difference equations
Digital Root
Discriminant analysis
Eigen Value using Excel
Euclidean Distance
Euler Integration
Euler Number
Excel Iteration
Excel Macro
Excel Tutorial
Factorial Function
Feasibility Study
Financial Analysis
Generalized Inverse
Generalized Mean
Geometric Mean
Ginger Bread Man and Chaos
Graph Theory
Growth Model
Hamming Distance
Harmonic Mean
Hierarchical Clustering
Independent Events
Incident matrix
Jaccard Coefficient
Kernel basis function
Kernel Regression
k-Means clustering
K Nearest Neighbor
LAN Connections Switch
Learning from data
Lehmer Mean
Linear Algebra
Logarithm Rules
Mahalanobis Distance
Market Basket Analysis
Mean Absolute Deviation
Mean and Average
Mean, median, mode
Minkowski Distance
Minkowski Mean
Monte Carlo Simulation
Multi Agent System
Multicriteria decision making
Mutivariate Distance
Newton Raphson
Non-Linear Transformation
Normalization Index
Normalized Rank
Ordinary Differential Equation
Page Rank
Power rules
Prime Factor
Prime Number
Q Learning
Quadratic Function
Queueing Theory
Rank Reversal
Recursive Statistics
Regression Model
Reinforcement Learning
Root of Polynomial
Scenario Analysis
Sierpinski gasket
Sieve of Erastosthenes
Similarity and Distance
Solving System Equation
Standard deviation
String Distance
Summation Tricks
Support Vector Machines
System dynamic
Time Average
Tower of Hanoi
Vedic Square
Visual Basic (VB) tutorial
What If Analysis

Mean and Average

By Kardi Teknomo, PhD.

Share this: Google+

There are so many averages and means. Mean is function to map input of positive real numbers into somehow a mid-value, or expected value. The mid-value or expected value is also a positive real number. This tutorial consists of two parts. The first part shows some famous of means or averages. In the second part, I derived fundamental relationship between averages of measurement sequence. I also proposed average composition diagram and fundamental theorem on average that can be used to obtain the relationship between time-average, delayed-average, moving-average and delayed-moving-average.

Many performance indicators in information fusion, financial analysis, data mining, statistical pattern recognition and machine learning are actually one of these means or averages. At least, this tutorial may serve as a revelation that you can create many means or average beyond the traditional Pytagorean means of arithmetic, geometric and harmonic means.

Part 1: Mean

What is mean?
Arithmetic mean
Geometric mean
Harmonic mean
Quadratic mean
Some relationship between means
Minkowski Mean
Lehmer mean
Kolmogorov Generalized Mean
Archimedean Double Mean Process
Archimedean Harmonic-Geometric Mean (AHGM)
Gaussian Double Mean Process
Arithmetic-Geometric Mean (AGM)
Harmonic-Geometric Mean (HGM)

Part 2: Average

Averages of measurement sequence
Time Average
Addition or Subtraction of Two Averages
Multiplication of Averages
Distributive Law of Averages
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
Excel function reference related to this tutorial are listed here.
Click here to download the Microsoft Excel file companion of this tutorial

See Also: Variance, Average Absolute Deviation, Distance, Similarity, Sum

Rate this tutorial or give your comments about this tutorial

Share and save this tutorial
Add to: Del.icio.us  Add to: Digg  Add to: StumbleUpon   Add to: Reddit   Add to: Slashdot   Add to: Technorati   Add to: Netscape   Add to: Newsvine   Add to: Mr. Wong Add to: Webnews Add to: Icio Add to: Folkd Add to: Yigg Add to: Linkarena Add to: Simpy Add to: Furl Add to: Yahoo Add to: Google Add to: Blinklist Add to: Blogmarks Add to: Diigo Add to: Blinkbits Add to: Ma.Gnolia Information

This tutorial is copyrighted.

Preferable reference for this tutorial is

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



© 2007 Kardi Teknomo. All Rights Reserved.
Designed by CNV Media