This site is supported by donations to The OEIS Foundation.

# User:Charles R Greathouse IV/Averages

### From OeisWiki

This is a collection of different types of averages.

## Contents |

## Power means

This is a list of generalized means, also known as power means or Hölder means. They include the three Pythagorean means: arithmetic, geometric, and harmonic.

- Minimum ()
- Harmonic mean (
*M*_{ − 1}) ≤ - Geometric mean (
*M*_{0}) ≤ - Arithmetic mean (
*M*_{1}) ≤ - Quadratic mean (
*M*_{2}) ≤ - Cubic mean (
*M*_{3}) ≤ - Maximim ()

## Other means

- Contraharmonic mean (seems to be larger than
*M*_{3}for the 2-variable case)

## Two variables only

These means are usually defined for only two variables. It's unclear if they can be meaningfully extended to arbitrary finite submultisets of .

agm seems to be ghm seems to be

## Families of means

Beyond these families, most means can be extended to a weighted version.

- Quasi-arithmetic means (generalized ƒ-means): generalize the power means
- Lehmer means
- Stolarsky means: generalize the logarithmic mean
- Schwab-Borchardt means

## Robust estimators

*See also:*Robust statistics, Trimmed estimator, Winsorising

## Other measures of central tendency

*See also:*Central tendency