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# Z Score Calculator

Enter raw score, population mean, and standard deviation in the respective fields to calculate Z score using z table calculator.

Table of Contents:

## Z score formula

The following equations used to find the z statistics (score).

**Z = (X – μ)/ σ**

**X **is raw score,

**μ **is population mean, and

**σ **is standard deviation.

Use Z score calculator to find the Z-score value online. This tool applies the Z-score formula to calculate Z score for hypothesis testing. It also shows you step by step calculation for given data.

## What is Z score?

A z-score or z-statistic is a result of implementing a z-test that tells us how far a raw score is from mean, when measured in standard deviation units. It represents a point from standard normal distribution (z chart).

Moreover, the critical value of a z score can be used to determine the margin of error.

- The z-score is
*positive*if the value is more than mean. - It is
*negative*if value is less than mean.

## How to calculate z score?

Wondering how to find z score? Let’s calculate it using an example.

*Example:*

Find the z-score for the given values.

Raw score = *70*

Standard deviation = *8*

Population mean = *12*

**Step 1: **Write down the formula of Z-score.

**Z = (X – μ)/ σ**

**Step 2: **Place the values in the above equation.

**Z = (70 – 12)/ 8**

**Z = 58/8 = 7.25**