Harmonic Mean for ungrouped data
Use this calculator to find the Harmonic Mean for ungrouped (raw) data.
| Harmonic Mean Calculator | |
|---|---|
| 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
$$ \begin{equation*} H.M. = \frac{n}{\sum_{i=1}^{n} \frac{1}{x_i}} \end{equation*} $$
