## Standard Error Calculator

 Result: No.of Inputs Standard Error (SE) Calculation

The Standard Error Calculator to calculate the the method of measurement or Standard Error.

### Standard Error formula

where

n is the size (number of observations) of the sample.

s is the sample standard deviation.

For example, when data set is {5,20,40,80,100}

```Total Inputs(N) =(5,20,40,80,100)
Total Inputs(N)=5
Mean(xm)= (x1+x2+x3...xN)/N
Mean(xm)= 245/5
Means(xm)= 49
-------------------------------------------
SD=
sqrt(1/(N-1)*((x1-xm)^2+(x2-xm)^2+..+(xN-xm)^2))
=sqrt(1/(5-1)((5-49)^2+(20-49)^2+(40-49)^2+(80-49)^2+(100-49)^2))
=sqrt(1/4((-44)^2+(-29)^2+(-9)^2+(31)^2+(51)^2))
=sqrt(1/4((1936)+(841)+(81)+(961)+(2601)))
=sqrt(1605)
=40.06245124802026

-------------------------------------------
Finding Standard Error

Standard Error=SD/ sqrt(N)
Standard Error=40.06245124802026/sqrt(5)
Standard Error=40.0625/2.2361

Standard Error=17.9165```
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