Math

Z-Score Calculator

Calculate how many standard deviations a value lies from the mean.

Academic mathematics calculators

Move between algebra, geometry, combinatorics, probability, statistics, powers and roots while studying related mathematical concepts.

Share this calculator
WhatsApp

Z-Score Calculator is a study tool for working through the underlying mathematical relationship with validated numerical inputs.

How it works

Enter the required values. The calculator validates the inputs and applies the mathematical rule z = (x − μ) ÷ σ.

The formula

z = (x − μ) ÷ σ

Variables: x = Value (x); μ = Mean (μ); σ = Standard deviation (σ).

Worked example

Example: x=85, μ=70, σ=10 → z=1.5.

Frequently asked questions

What is this calculator useful for?

It is intended for checking exercises, exploring numerical examples, and understanding how changing the inputs changes the result.

Can I use decimal values?

Yes when the mathematical definition permits decimals. Inputs that violate the calculator's mathematical domain are rejected.

Last content reviewSeptember 25, 2026
Editorial reviewHe-Sab Editorial Review

Sources and references

These sources are used to verify terminology, formulas, and information related to this calculator.