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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
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Data explorer

Check the dataset and sample convention before interpreting results.

See the method

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Runs on your device

Your statistical summary

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.

Input reference and sample values

Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.

InputFormat and unitsSample
Sample standard deviationNumeric value. Zero or positive.10
Sample sizeWhole numbers only. Minimum: 2. Maximum: 1000000.100

Result for these sample inputs

1

Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.

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.

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