Question

What is the difference between standard error and standard deviation?

Answer 1

The difference between standard error and standard deviation:

Standard error	Standard deviation
1. It is used to measure the statistical accuracy of the estimate.	1. It is defined as an absolute measure of the dispersion of a series.

2. The standard error is used in the process of testing estimating intervals and hypotheses.	2. Standard deviation clarifies the standard amount of variation at one side of the mean.
3. Its formula is given as: $SE=\frac{\sigma }{\sqrt{n}}$ Here, $SE=s\tan darderror,\sigma =samples\tan darddeviation,n=numberofsamples$	3. Its formula is given as: $\sigma =\sqrt{\frac{\sum {(x_i-\mu )}^2}{N}}$ Here, $\sigma =populations\tan darddeviation,N=thesizeofthepopulation,x_i=eachvaluefromthepopulation,\mu =thepopulationmean$