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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
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