## Harmonic Mean for ungrouped data

Use this calculator to find the Harmonic Mean for ungrouped (raw) data.

Harmonic Mean Calculator | |
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Enter the X Values (Separated by comma,) | |

Results | |

Number of Obs. (n): | |

Harmonic Mean : ($HM$) | |

## Harmonic Mean for ungrouped data

Use this calculator to find the Harmonic Mean for ungrouped (raw) data.

Let `$x_1, x_2, \cdots , x_n$`

be $n$ observations on a variable
$X$. Then the Harmonic Mean of these $n$ observations is denoted
by $H.M.$ and is defined as
`$$ \begin{equation*} \frac{1}{H.M.} = \frac{1}{n}\sum_{i=1}^{n} \frac{1}{x_i} \end{equation*} $$`

OR
`$$ \begin{equation*} H.M. = \frac{n}{\sum_{i=1}^{n} \frac{1}{x_i}} \end{equation*} $$`