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Math · Rex's Toolbox

Z-Score Calculator

Standard score and percentile from a normal distribution.

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The fast lane for the math you almost remember from school. Type the numbers, get the answer, move on with your day.

Try a scenario

Click to load — tweak from there.

Inputs

Result

Z-score

2.0000

Percentile

97.72%

Share above your value

2.28%

Two-tailed p-value

4.550%

Read

Within the typical range

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How to use this

  1. 1Enter your value (x).
  2. 2Enter mean (μ).
  3. 3Enter standard deviation (σ).
  4. 4Read your z-score on the right — it updates as you type.
  5. 5Hit Share to keep the scenario or send it to someone.

About this calculator

A z-score says how many standard deviations a value sits from the mean. Converting it to a percentile tells you what share of the distribution falls below your value.

Formulaz = (x − μ) ÷ σ. Percentile comes from the normal cumulative distribution.

Worked example

Using the values the calculator loads with:

Inputs

  • Your value (x): 130
  • Mean (μ): 100
  • Standard deviation (σ): 15

Results

  • Z-score: 2
  • Percentile: 97.72%
  • Share above your value: 2.28%
  • Two-tailed p-value: 4.550%
  • Read: Within the typical range

What each field means

Inputs

Your value (x)
The your value (x) used in the calculation. Starts at 130 so you have a working example on load.
Mean (μ)
The mean (μ) used in the calculation. Starts at 100 so you have a working example on load.
Standard deviation (σ)
The standard deviation (σ) used in the calculation. Starts at 15 so you have a working example on load.

Results

Z-score
Returned as a decimal number and shown as the headline result. It recalculates instantly whenever you change an input, so you can compare scenarios without reloading.
Percentile
Returned as a percentage. It recalculates instantly whenever you change an input, so you can compare scenarios without reloading.
Share above your value
Returned as a percentage. It recalculates instantly whenever you change an input, so you can compare scenarios without reloading.
Two-tailed p-value
Returned as a percentage. It recalculates instantly whenever you change an input, so you can compare scenarios without reloading.
Read
Returned as a plain value. It recalculates instantly whenever you change an input, so you can compare scenarios without reloading.

FAQ

How does the z-score calculator work?

A z-score says how many standard deviations a value sits from the mean. Converting it to a percentile tells you what share of the distribution falls below your value. The underlying maths is: z = (x − μ) ÷ σ. Percentile comes from the normal cumulative distribution.

What do I need to enter?

3 values: your value (x), mean (μ), and standard deviation (σ). Each field starts with a sensible default, so you can change one number at a time and watch the result move.

What does the z-score result mean?

It is returned as a decimal number and updates live as you edit the inputs, so you can compare two or three versions of a scenario in a few seconds.

Is this calculator free, and do I need an account?

Yes, it's free, and no account is required. Nothing you type is stored on our servers — the maths runs entirely in your browser.

How accurate is the result?

It applies the standard formula exactly, so the arithmetic is precise. Results are rounded for display; the underlying calculation keeps full precision.

Who is this tool for?

It's built for students, developers, and anyone who needs the answer right now without setting up a spreadsheet.

Accuracy and limitations

  • Results are rounded for display; the underlying calculation keeps full precision.
  • Very large or very small inputs may hit floating-point limits in the browser.
  • Inputs outside the accepted range are clamped rather than rejected.

Related tools

Cite this calculator

Writing about this topic? Grab a citation — every link helps keep these tools free.

APA
RevenueLab. (2026). Z-Score Calculator. Retrieved from https://www.revenuelab.fyi/toolbox/z-score
HTML
<p>Source: <a href="https://www.revenuelab.fyi/toolbox/z-score" target="_blank" rel="noopener">Z-Score Calculator — RevenueLab</a> (2026).</p>
Markdown
Source: [Z-Score Calculator — RevenueLab](https://www.revenuelab.fyi/toolbox/z-score) (2026).
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