# Z Score Calculator

> Calculate a z score from a raw score, mean, and standard deviation using z = (x − μ) / σ, with the formula, step by step work, and a plain English reading.

**URL:** https://www.calculatoranswers.com/z-score-calculator
**Category:** Education

## Quick Answer

Calculate the z-score of a raw value given the population mean and standard deviation. Learn how many standard deviations your value lies from the average.

## Definition

A z-score calculator is a statistical calculation tool that standardizes a raw data point relative to a normal distribution. It subtracts the population mean from the input value and divides the result by the standard deviation. The resulting z-score describes the number of standard deviations a data point lies above or below the mean. Analysts, researchers, and students use this tool to compare disparate datasets, determine percentiles, and perform probability calculations.

## How to Use

1. **Enter the raw score** — Type the specific data value you wish to standardize into the raw score input.
2. **Set the distribution parameters** — Input the population mean and standard deviation values into their respective boxes.
3. **Read the z-score** — View the computed z-score, its formula breakdown, and its associated percentile ranking.

## Disclaimer

This calculator provides estimates for educational and planning purposes. Always consult a qualified professional for specific advice on financial, medical, legal, or other regulated decisions.

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