Standard deviation calculator is an online statistical tool to calculate the standard deviation of a given population. Standard deviation is nothing but the variation exists from the mean. It is denoted by σ. The equation to find out the standard deviation is,

$\sigma$ =$\sqrt{\frac{1}{N}\sum_{i=1}^{N}(x_{i}-\mu )^{2}}$

Where $\sigma$ is the standard deviation
N is the total number of observations
$\mu$ is the mean

## Steps for Calculating Standard Deviation

Step1: Calculate the value of mean from the given data using following equation.

$\mu$ =$\frac{x_{1}+x_{2}+x_{3}+......+x_{n}}{N}$

Where N is the total number of observations

Step2: Find the standard deviation using the given formula.

$\sigma$ =$\sqrt{\frac{1}{N}\sum_{i=1}^{N}(x_{i}-\mu )^{2}}$

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