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Standard Error Calculator

Estimate the standard error of a mean as s / √n. Requires a nonnegative supplied sample standard deviation and independent observations.

Free to useNo sign-upRuns in your browser
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Enter the inputs, then select Calculate.

Your result
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Result will appear here

How Standard Error Calculator works

Estimate the standard error of a mean as s / √n.

Requires a nonnegative supplied sample standard deviation and independent observations. This does not compute a confidence interval. Finite real inputs; output uses up to 12 significant digits. Floating-point results may be rounded.

Concept diagram for Standard Error Calculator, showing sample standard deviation input and the supported output.
Concept diagram; the three operation images are actual browser captures.

How to use Standard Error Calculator

Follow the labelled inputs.

Enter sample standard deviation

Replace the example with sample standard deviation. The field labels specify the expected format and units.

Input and settings
Standard Error Calculator: input and settings in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Check the remaining inputs

Set independent sample size. Requires a nonnegative supplied sample standard deviation and independent observations.

Tool result
Standard Error Calculator: tool result in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Run, review and save

Select Calculate. Review the calculated result, then copy it or download the result text.

Review the details
Standard Error Calculator: review the details in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Examples and uses for Standard Error Calculator

Check the supplied example

The starting example produces 2. Estimate the standard error of a mean as s / √n.

Abstract input values and a mathematical worksheet.
Start with the values. Concept illustration.

Use your own inputs

Read the labels for sample standard deviation and independent sample size. Requires a nonnegative supplied sample standard deviation and independent observations.

Two calculation examples shown for comparison.
Compare a second example. Concept illustration.

Record a reviewed result

Copy the calculated result into your notes. Keep the formula and assumptions with it if someone else needs to reproduce the calculation.

A calculation and supporting explanation represented conceptually.
Explain the calculation. Concept illustration.

How to read the result

Read the units and assumptions with the output.

Estimate the standard error of a mean as s / √n.

Requires a nonnegative supplied sample standard deviation and independent observations. This does not compute a confidence interval. Finite real inputs; output uses up to 12 significant digits. Floating-point results may be rounded.

A mathematical result connected to the values used to calculate it.
Read the result with its inputs. Concept illustration.

Supported input and limits

Check the stated scope before you run it.

Requires a nonnegative supplied sample standard deviation and independent observations. This does not compute a confidence interval. Finite real inputs; output uses up to 12 significant digits. Floating-point results may be rounded.

The input stays in this browser. Copy result and Download save the same displayed text.

Values and units reviewed before relying on a mathematical result.
Check values and units. Concept illustration.

Standard Error Calculator: common questions

Answers about using Standard Error Calculator and understanding its results.

What assumptions and input limits apply?

Requires a nonnegative supplied sample standard deviation and independent observations. This does not compute a confidence interval. Finite real inputs; output uses up to 12 significant digits. Floating-point results may be rounded.

How can I save the output?

Use Copy result to copy the displayed text, or Download to save it as a text file. The tool runs in your browser and does not require an account.

Calculate with your input

Check the calculated result, then copy or download it.

Calculate