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Statistics

Standard Error of the Mean Calculator

Estimate standard error from a sample standard deviation and sample size.

Data stays on this deviceConvention explained below

Data and assumptions

Runs on your device

STATISTICAL RESULT

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter sample standard deviation, sample size.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

Standard error = sample standard deviation/√n.

A WORKED EXAMPLE

Using sample standard deviation = 10, sample size = 100, the result is 1. Change these example inputs to match your task; use the method above to check each step.

What to keep in mind

Assumes independent observations and a meaningful sample standard deviation. A descriptive or probability calculation under the stated assumptions. Check the sample design and model before interpreting results.

Common questions

Which inputs does this calculation need?

Estimate standard error from a sample standard deviation and sample size. Enter sample standard deviation, sample size. The filled example is editable and is not a saved personal record.

How should I interpret the result?

Assumes independent observations and a meaningful sample standard deviation. A descriptive or probability calculation under the stated assumptions. Check the sample design and model before interpreting results.

Methodology maintained by ClarityKit. How these tools are built and checked.