## Geometric Mean for grouped data

Use this calculator to find the Geometric Mean for grouped (frequency distribution) data.

Geometric Mean Calculator (Grouped Data) | |
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Type of Freq. Dist. | DiscreteContinuous |

Enter the Classes for X (Separated by comma,) | |

Enter the frequencies (f) (Separated by comma,) | |

Results | |

Number of Obs. (N): | |

Geometric Mean : | |

freq dist : | |

## Geometric Mean for grouped data

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

have frequencies `$f_1, f_2, \cdots ,f_n$`

respectively, then the Geometric Mean is given by

`$$ \begin{equation*} G.M. = \biggr(x_1^{f_1}\cdot x_2^{f_2} \cdots x_n^{f_n}\biggl)^{1/N}= \biggr(\prod_{i=1}^{n} x_i^{f_i}\biggl)^{1/N}\mbox{ where }N = \sum_{i=1}^{n} f_i \end{equation*} $$`

OR
`$$ \begin{equation*} \log (G.M.) = \frac{1}{N}\sum_{i=1}^{n} f_i\log x_i \end{equation*} $$`

In case of continuous frequency distribution, $x_i$'s are the mid-values of the respective classes.