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Z Score Calculator

Express a value as standard deviations from a supplied mean. The supplied standard deviation must be positive.

Free to useNo sign-upRuns in your browser
Enter your details

Enter the inputs, then select Calculate result.

Your result
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Result will appear here

How Z Score Calculator works

Express a value as standard deviations from a supplied mean.

The supplied standard deviation must be positive. This calculates z = (x − mean) / standard deviation; it does not estimate a normal-distribution probability. Finite real numbers only. Display uses up to 12 significant digits; binary floating-point arithmetic can introduce rounding.

Concept diagram for Z Score Calculator, showing observed value input and the supported output.
Concept diagram; the three operation images are actual browser captures.

How to use Z Score Calculator

Follow the labelled inputs.

Enter observed value

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

Input and settings
Z Score 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 population mean, population standard deviation. The supplied standard deviation must be positive.

Tool result
Z Score 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 result. Review the calculated result, then copy it or download the result text.

Review the details
Z Score 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 Z Score Calculator

Check the supplied example

The starting example produces 1.5. Express a value as standard deviations from a supplied mean.

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

Use your own inputs

Read the labels for observed value and population mean, population standard deviation. The supplied standard deviation must be positive.

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.

Express a value as standard deviations from a supplied mean.

The supplied standard deviation must be positive. This calculates z = (x − mean) / standard deviation; it does not estimate a normal-distribution probability. Finite real numbers only. Display uses up to 12 significant digits; binary floating-point arithmetic can introduce rounding.

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.

The supplied standard deviation must be positive. This calculates z = (x − mean) / standard deviation; it does not estimate a normal-distribution probability. Finite real numbers only. Display uses up to 12 significant digits; binary floating-point arithmetic can introduce rounding.

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.

Z Score Calculator: common questions

Answers about using Z Score Calculator and understanding its results.

Which inputs does this tool accept?

The supplied standard deviation must be positive. This calculates z = (x − mean) / standard deviation; it does not estimate a normal-distribution probability. Finite real numbers only. Display uses up to 12 significant digits; binary floating-point arithmetic can introduce rounding.

Can I copy or download the result?

Yes. Copy result copies the displayed text, and Download saves the same result as a text file. Calculations run in your browser without an account.

Calculate result with your input

Check the calculated result, then copy or download it.

Calculate result