Category:Definitions/Harmonic Mean
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This category contains definitions related to Harmonic Mean.
Related results can be found in Category:Harmonic Mean.
Let $x_1, x_2, \ldots, x_n \in \R$ be real numbers which are all strictly positive.
The harmonic mean $H_n$ of $x_1, x_2, \ldots, x_n$ is defined as:
- $\ds \dfrac 1 {H_n} := \frac 1 n \paren {\sum_{k \mathop = 1}^n \frac 1 {x_k} }$
That is, to find the harmonic mean of a set of $n$ numbers, take the reciprocal of the arithmetic mean of their reciprocals.
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