The variance function allows to calculate online the variance of a serie.

The **online variance calculator** determines the variance of a series of value.
The **variance** is calculated from the
average.
The online calculator is able to **calculate the variance** of a set of values with the steps of the calculations.
The variance calculator supports numeric but also literal expressions. The calculator can use the frequency value of the series.

The variance calculator is able to calculate the variance of a series of value, exact and approximate results are returned, details of the calculations are specified.

It is possible to calculate the variance of the following series of numbers : 12;32;45;34, for this, enter variance(`[12;32;45;34]`)

It is also possible to calculate the variance of the following numbers: 12;32;45;34 whose frequency 3;5;3;2, enter variance(`[[12;32;45;34];[3;5;3;2]]`)

The variance calculator is able to calculate the variance of a series of literal expressions, the result is returned in exact form and details of the calculations are specified.

It is possible to calculate the variance of the following elements 3a; 6a; 7a, for this, enter variance(`[3a;6a;7a]`), after calculation result is returned with calculation steps.

It is possible to compute the variance of the following elements 3a;6a;7a whose frequency 3;5;3;2 after calculation result is returned with steps of calculations, for this enter variance(`[[3a;6a;7a];[3;5;3;2]]`).

- variance([s1;s2;...;sn]), s1, s2, ..., sn are a series of numbers
- variance([[s1;s2;...;sn];[f1;f2;...;fn]]), s1, s2, ..., sn are a series of numbers, f1; f2, ..., fn represent the frequencies of these numbers.

variance(`[1;9;7]`), returns `104/9`

See also

- Standard deviation calculator : standard_deviation. Calculate online the standard deviation of a set of values, the exact result is given to the calculation steps.
- Standard statistical functions calculator : statistical_functions. This calculator allows you to apply standard statistical functions to a series: average, standard_deviation, variance, max, min, sum.
- Max of a list : max. The max function returns the greatest value of a list.
- Min of a set of number : min. The min function returns the smallest value of a set of numbers.
- Arithmetic mean : average. The average function allows to calculate the arithmetic mean of a series of values.
- Variance : variance. The variance function allows to calculate online the variance of a serie.