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Harmonic mean (HM)

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Harmonic mean (HM) Empty Harmonic mean (HM)

Post  meodingu Tue Nov 02, 2010 4:42 pm

Harmonic mean (HM)
Main article: Harmonic mean

The harmonic mean is an average which is useful for sets of numbers which are defined in relation to some unit, for example speed (distance per unit of time).

\bar{x} = n \cdot \left ( \sum_{i=1}^n \frac{1}{x_i} \right ) ^{-1}

For example, the harmonic mean of the six values: 34, 27, 45, 55, 22, and 34 is

\frac{6}{\frac{1}{34}+\frac{1}{27}+\frac{1}{45} + \frac{1}{55} + \frac{1}{22}+\frac{1}{34}} = \frac{60588}{1835} \approx 33.0179836.


meodingu
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