# Category:Harmonic Mean

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This category contains results about **Harmonic Mean**.

Definitions specific to this category can be found in Definitions/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.

## Pages in category "Harmonic Mean"

The following 5 pages are in this category, out of 5 total.