Statistics
Z-Score Formula - Statistics
Learn the z-score formula with examples, step-by-step guide, and calculator tools. Calculate how many standard deviations a value is from the mean
The z-score formula is a fundamental concept in statistics. Calculate how many standard deviations a value is from the mean. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[z = \frac{x - \mu}{\sigma}\]
Variables
z
Z-score
x
Data point
μ
Population mean
σ
Population standard deviation
Step-by-Step Guide
- 1
Step 1: Gather your data values
- 2
Step 2: Apply the formula
- 3
Step 3: Perform the calculations
- 4
Step 4: Interpret the result
Examples
Example 1
Example 1: [85] → z = (85 - 70) / 10 = 1.5
Example 2
Example 2: 1.5
Frequently Asked Questions
What is the z-score formula?
Calculate how many standard deviations a value is from the mean
How do I calculate z-score formula?
Use the formula: z = \frac{x - \mu}{\sigma}. Follow the steps provided above.
What tools can help with z-score formula?
We provide online calculators: z-score-calculator, statistics-calculator