Calculate online the standard deviation of a set of values, the exact result is given to the calculation steps.

The calculator with its standard_deviation function is a powerful standard deviation calculator. It determines online the standard deviation of a series of value. The standard deviation is equal to the square root of the variance, the standard deviation is used to measure the dispersion of statistical series around its average. The online calculator allows to calculate the standard deviation of a set of values with the steps by step calculations. The standard deviation calculator supports numeric expressions but also literal. The calculator handles the frequency value of the series.

Standard deviation calculation online

The SD calculator is able to calculate the standard deviation of a set value, the result is returned in exact form, and in approximate form, the details of the calculations are specified.

It is possible to calculate the standard deviation of the following numbers 12;32;45;34, for this, enter standard_deviation(`[12;32;45;34]`)

It is possible to calculate the SD of the following numbers 12;32;45;34 whose frequency 3;5;3;2, for, this enter standard_deviation(`[[12;32;45;34];[3;5;3;2]]`)

Standard deviation symbolic calculation online

The standard deviation calculator is able to calculate the standard deviation 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 SD of the following terms 3a;6a;7a, after calculating the result is returned step by step, for this, enter standard_deviation(`[3a;6a;7a]`).

It is possible to calculate the SD of the following numbers 3a;6a;7a whose frequency 3;5;3;2 after calculating the result is returned step by step, for this, enter standard_deviation(`[[3a;6a;7a];[3;5;3;2]]`).

Syntax :

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

Examples :

standard_deviation(`[1;3;7;9]`) returns sqrt(10)