Mean or Average

By Kardi Teknomo, PhD.

There are so many averages or means. Mean or average 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 show some famous of means or averages. Many performance indicators in 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 arithmetic, geometric and harmonic means.

What is mean or average?

Arithmetic mean

Geometric mean

Harmonic mean

Quadratic mean

Some relationship between means

Minkowski Mean

Lehmer mean

Phillips Generalized Mean

Archimedean Double Mean Process

Archimedean Harmonic-Geometric Mean (AHGM)

Gaussian Double Mean Process

Arithmetic-Geometric Mean (AGM)

Harmonic-Geometric Mean (HGM)

Excel function reference related to this tutorial are listed here. Click here to download the Microsoft Excel file companion of this tutorial.

Resources on Mean or Average

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

Rate this tutorial or give your comments about this tutorial

This tutorial is copyrighted.

Preferable reference for this tutorial is

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