Difference between revisions of "Harmonic mean"
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| − | The harmonic mean (frequently referred to as HM) is a special kind of mean (like [[Arithmetic mean]], [[Geometric mean]]). The harmonic mean of n numbers <math> x_1, x_2... x_n </math> is defined to be: <math> \frac{n} {\frac{1}{x_1}+\frac{1}{x_2}+...+\frac{1}{x_n}}</math>. It is part of a large inequality, the Arithmetic mean-Harmonic mean-Geometric mean inequality, which states that AM>HM>GM. | + | The harmonic mean (frequently referred to as HM) is a special kind of mean (like [[Arithmetic mean]], [[Geometric mean]]). The harmonic mean of n numbers <math> x_1, x_2... x_n </math> is defined to be: <math> \frac{n} {\frac{1}{x_1}+\frac{1}{x_2}+...+\frac{1}{x_n}}</math>. It is part of a large inequality, the [[Arithmetic mean-Harmonic mean-Geometric mean inequality]], which states that AM>HM>GM. |
Revision as of 16:42, 18 June 2006
The harmonic mean (frequently referred to as HM) is a special kind of mean (like Arithmetic mean, Geometric mean). The harmonic mean of n numbers 
is defined to be: 
. It is part of a large inequality, the Arithmetic mean-Harmonic mean-Geometric mean inequality, which states that AM>HM>GM.
