User:Charles R Greathouse IV/Averages
This is a collection of different types of averages.
- Minimum ()
- Harmonic mean () ≤
- Geometric mean () ≤
- Arithmetic mean () ≤
- Quadratic mean () ≤
- Cubic mean () ≤
- Maximim ()
- Contraharmonic mean (seems to be larger than 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
Other measures of central tendency
- See also: Central tendency