Variance & Std Dev

Standard Deviation & Variance Calculator

This calculator computes the variance and standard deviation of a dataset, measuring dispersion.

Use Cases

• Investing: Measuring stock volatility (risk).
• Manufacturing: Quality control (tolerance).
• Testing: Analyzing consistency of student scores.

Formula

Sample Standard Deviation:

$$s = \sqrt{\frac{\sum (x - \bar{x})^2}{n - 1}}$$

Population Standard Deviation:

$$\sigma = \sqrt{\frac{\sum (x - \mu)^2}{N}}$$