How to Calculate Standard Error

This worksheet may help you to know about the Standard Error. The Standard Error is a method of measurement or estimation of the standard deviation of the sampling distribution associated with the estimation method. The formula to calculate Standard Error is,

Standard Error Formula


Standard Error Formula
Where
SEx̄ = Standard Error of the Mean
s = Standard Deviation of the Mean
n = Number of Observations of the Sample

Standard Error Example


X = 10, 20,30,40,50
Total Inputs (N) = (10,20,30,40,50)
Total Inputs (N) =5

To find Mean:
Mean (xm) = (x1+x2+x3...xn)/N
Mean (xm) = 150/5
Mean (xm) = 30

To find SD:
Understand more about Standard Deviation using this Standard Deviation Worksheet or it can be done by using this Standard Deviation Calculator
SD = √(1/(N-1)*((x1-xm)2+(x2-xm)2+..+(xn-xm)2))
= √(1/(5-1)((10-30)2+(20-30)2+(30-30)2+(40-30)2+(50-30)2))
= √(1/4((-20)2+(-10)2+(0)2+(10)2+(20)2))
= √(1/4((400)+(100)+(0)+(100)+(400)))
= √(250)
= 15.811


To Find Standard Error:
Standard Error=SD/ √(N)
Standard Error=15.811388300841896/√(5)
Standard Error=15.8114/2.2361
Standard Error=7.0711

The above worksheet is a walk through to understand the concept of calculating Standard Error. When it comes to online calculation this Standard Error Calculator is an essential tool to make the calculation easy.
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