Statistics
Sample Variance - Statistics
Learn the sample variance with examples, step-by-step guide, and calculator tools. Variance of sample data
The sample variance is a fundamental concept in statistics. Variance of sample data. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[s^2 = \frac{1}{n-1}\sum_{i=1}^{n}(x_i - \bar{x})^2\]
Variables
s²
Sample variance
n
Sample size
xᵢ
Data points
x̄
Sample mean
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] → s² = [(2-5)² + (4-5)² + (6-5)² + (8-5)²] / 3 = 20/3 ≈ 6.67
Example 2
Example 2: 6.67
Frequently Asked Questions
What is the sample variance?
Variance of sample data
How do I calculate sample variance?
Use the formula: s^2 = \frac{1}{n-1}\sum_{i=1}^{n}(x_i - \bar{x})^2. Follow the steps provided above.
What tools can help with sample variance?
We provide online calculators: variance-calculator