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# Calculators :: Statistics Calculators :: Standard Deviation Calculator

The following calculator will find standard deviation, variance, skewness and kurtosis of the given data set. The calculator will generate a step by step explanation on how to find these values.

## Standard Deviation Calculator

Enter the numbers separated by comma(,) , colon(:), semicolon(;) or blank space.

 Find Standard Deviation (default) Find Variance Find Skewness Find Kurtosis
Show me an explanation.

Definition: The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.

## How to use this calculator

Example 1:

Find the standard deviation for the given set of numbers: $3,~ 4,~ 11,~ 21,~ 23,~ 4,~ 5$

Set up the form

Example 2:

Find the standard deviation of the following test results percentages:

$$73\%,~ 58\%,~ 67\%,~ 92\%,~ 73\%,~ 55\%,~ 85\%, ~54\%$$ Set up the form

Example 3:

Find the variance for the amount of European auto sales for a sample of 7 years shown. The data are in millions of dollars.

$$11.2,~ 11.9, ~12, ~12.8, ~13.4, ~14.3,~ 10.2$$ Set up the form