Standard Deviation Calculator

What is Standard Deviation?

Standard deviation is a measure of how much variation or "dispersion" there is in a set of data values.

The term "standard deviation" can be broken down into two parts:

"standard", which refers to a normal distribution, and "deviation", which refers to how far each data point is from the mean.

The standard deviation calculator is a mathematical tool that calculates the standard deviation of a distribution. It gives you an idea of how much variation there is in the data set.

\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}
\sigma = population standard deviation
N = the size of the population
x_i = each value from the population
\mu = the population mean

What is variance?

Variance is a measure of how far away individual data points are from the mean. It can be calculated by taking the difference between each number and dividing it by how many numbers there are in total, then multiplying it by itself.

What is the population mean?

The population mean is the average of all the data points in the population. It is calculated by taking the sum of all the data points and dividing it by the number of data points.

How to calculate the standard deviation and variance using this calculator?

First, you need to enter all the numbers seprated by a comma. After that click on the calculate button.

The resultant numbers will be displayed in the boxes below.