basic

Standard Error of Mean from Sample Calculator

SEM = s / √n — precision of sample mean estimate.

Calculates the Standard Error of the Mean (SEM) from the sample standard deviation and sample size. Also gives the 95% confidence interval half-width: ±1.96 × SEM.

Priya Venkatesan By Priya Venkatesan
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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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 / sqrt(n); 95% CI half-width = 1.96 × SEM

In depth

Calculates the Standard Error of the Mean (SEM) from the sample standard deviation and sample size. Also gives the 95% confidence interval half-width: ±1.96 × SEM.