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Kurtosis Calculator

Calculate population excess kurtosis m4 / m2² − 3. Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion.

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

Up to 100,000 characters; processed in this browser.

Your result
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Result will appear here

How Kurtosis Calculator works

Calculate population excess kurtosis m4 / m2² − 3.

Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion. Finite real inputs; output uses up to 12 significant digits. Floating-point results may be rounded. Requires at least two observations with nonzero variance. No finite-sample bias correction; a normal population has zero excess kurtosis. Finite real inputs; output uses up to 12 significant digits. Floating-point results may be rounded.

Concept diagram for Kurtosis Calculator, showing observations input and the supported output.
Concept diagram; the three operation images are actual browser captures.

How to use Kurtosis Calculator

Follow the labelled inputs.

Enter observations

Replace the example with observations. The field labels specify the expected format and units.

Input and settings
Kurtosis 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

This tool uses one input. Check the supported range before running it. Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion.

Tool result
Kurtosis 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
Kurtosis 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 Kurtosis Calculator

Check the supplied example

The starting example produces -1.5. Calculate population excess kurtosis m4 / m2² − 3.

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

Use your own inputs

Read the labels for observations. Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion.

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.

Calculate population excess kurtosis m4 / m2² − 3.

Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion. Finite real inputs; output uses up to 12 significant digits. Floating-point results may be rounded. Requires at least two observations with nonzero variance. No finite-sample bias correction; a normal population has zero excess kurtosis. 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.

Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion. Finite real inputs; output uses up to 12 significant digits. Floating-point results may be rounded. Requires at least two observations with nonzero variance. No finite-sample bias correction; a normal population has zero excess kurtosis. 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.

Kurtosis Calculator: common questions

Answers about using Kurtosis Calculator and understanding its results.

What assumptions and input limits apply?

Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion. Finite real inputs; output uses up to 12 significant digits. Floating-point results may be rounded. Requires at least two observations with nonzero variance. No finite-sample bias correction; a normal population has zero excess kurtosis. 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