Variance Calculator
Calculate the sample and population variance of five values. Also shows the mean and standard deviation.
How to Use the Variance Calculator
- Enter five data values.
- Click Calculate to see the variance and standard deviation.
- Both sample and population variance are provided.
快速参考
| 从 | 到 |
|---|---|
| 2, 4, 4, 4, 5 | s² = 1.0 |
| 1, 2, 3, 4, 5 | s² = 2.5 |
| 10, 10, 10, 10, 10 | s² = 0 |
| 1, 1, 1, 1, 100 | s² = 1960.2 |
| σ = √(s²) | Standard deviation |
使用场景
- •Analyzing data spread in statistics coursework.
- •Measuring investment risk through return variance.
- •Quality control monitoring in manufacturing.
公式
Sample variance s² = Σ(xᵢ − x̄)² / (n−1). Population variance σ² = Σ(xᵢ − μ)² / n.
常见问题
What is variance?
A measure of how spread out data points are from the mean. Higher variance means more spread.
Sample vs. population variance?
Sample variance divides by (n−1) for Bessel's correction; population variance divides by n.
What is standard deviation?
The square root of the variance, expressed in the same units as the data.