basic

Standard Error of the Mean Calculator

SEM = sample SD ÷ √n.

Compute the standard error of the mean (SEM) — how precisely the sample mean estimates the population mean — from a list of observations.

Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
Was this helpful?

How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

SEM = s / √n, where s is the sample standard deviation.

In depth

Compute the standard error of the mean (SEM) — how precisely the sample mean estimates the population mean — from a list of observations.