EVERYDAY CLARITY
Standard Error of the Mean Calculator
Calculate the standard error of a sample mean from sample standard deviation and sample size.
Your result
Standard error of the mean
Result for the values shown.
Calculations run in your browser.
What to enter
| Input | Meaning and units |
|---|---|
| Sample standard deviation | Enter sample standard deviation using the definition in the method and example. |
| Sample size | Enter sample size using the definition in the method and example. |
Understanding your result
Read Standard error of the mean in the units and model stated on this page. The formula se = sd / sqrt(n) defines the relationship; measurement accuracy and model applicability are separate from numerical precision.
Common mistakes
- Using a different mathematical definition or operation than the one stated by this tool.
Check your calculation
- Use the worked example as a known reference case, then change one input at a time and check the direction and units of the response.
Calculation checks, sources and review limits
How much sampling uncertainty does my sample mean have?
Calculate the standard error of a sample mean from sample standard deviation and sample size.
Common uses
- How much sampling uncertainty does my sample mean have
How it works
se = sd / sqrt(n)
Worked example
Enter Sample standard deviation: 10 ; Sample size: 25 . Results: Standard error of the mean: 2 .