How to use the standard error calculator
Compute the standard error of the mean. Enter standard deviation, sample size in the fields above; the standard error is computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “precision of mean”, “error of estimate”, “sem”, “calculate standard error”, “find standard error”.
Formula
Variables
- s — Standard deviation
- n — Sample size
Worked example
With standard deviation = 12, sample size = 100, the calculator gives standard error ≈ 1.2.
Frequently asked questions
What is the standard error calculator used for?
Compute the standard error of the mean. It helps with questions such as “precision of mean”, “error of estimate”, “sem”.
What is the formula for the standard error calculation?
Standard error = s / √(n). Here s is standard deviation, n is sample size.
What inputs do I need for the standard error calculator?
You need standard deviation, sample size. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the standard error calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the standard error result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.