## Geometric Mean for ungrouped data

Let `$x_i, i=1,2, \cdots , n$`

be $n$ observations
then the Geometric mean of $X$ is denoted by $GM$.

## Formula

The geometric mean of $n$ observations is given by

Let `$x_i, i=1,2, \cdots , n$`

be $n$ observations
then the Geometric mean of $X$ is denoted by $GM$.

The geometric mean of $n$ observations is given by

`$GM =(x_1\times x_2 \times \cdots \times x_n)^{1/n}=\bigg(\prod_{i=1}^{n}x_i\bigg)^{1/n}$`

Geometric mean for grouped data

- FORMULAS

Mean Median and mode for grouped data

- FORMULAS