Variance Formula - Statistics
Learn the variance formula with examples, step-by-step guide, and calculator tools. Measure how far a set of numbers are spread out from their average
The variance formula is a fundamental concept in statistics. Measure how far a set of numbers are spread out from their average. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
Variables
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: [2,4,6,8,10] → Variance = [(2-6)² + (4-6)² + (6-6)² + (8-6)² + (10-6)²] / 5 = 40/5 = 8
Example 2
Example 2: 8
Frequently Asked Questions
What is the variance formula?
Measure how far a set of numbers are spread out from their average
How do I calculate variance formula?
Use the formula: \sigma^2 = \frac{1}{n}\sum_{i=1}^{n}(x_i - \bar{x})^2. Follow the steps provided above.
What tools can help with variance formula?
We provide online calculators: variance-calculator, standard-deviation-calculator