Calculate Standard Deviation from Standard Error

This worksheet will help you to learn the how to calculate standard deviation and variance and understand the relationship between standard deviation, standard error and variance, standard error.

Standard Deviation

Standard deviation is a widely used measurement of variability or diversity used in statistics and probability theory. You can understand more about Standard deviation form Standard Deviation Worksheet.

Standard Error

The Standard Error is the term used in statistics to refer to an estimate of that standard deviation, derived from a particular sample used to compute the estimate.

You can see the relationship between standard deviation and standard error from the below formula
Standard Error Formula

From the above formula Standard deviation σ=Standard Error x √n.
Variance = σ2
The below example will show you how to calculate Standard deviation from standard error.

Example to Calculate Standard Deviation and Variance from Standard Error

For the set of 9 inputs standard error is 20.31 then what is the value standard deviation.
Standard deviation σ=Standard Error x √n
Standard deviation σ = 20.31 x √9
σ = 20.31 x 3
σ = 60.93

variance = σ2
variance = 60.932
variance = 3712.4649

For normal calculation with set of datas this Standard Deviation Calculator is an essential tool to make the calculation easy.
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