Standard Deviation Calculator
Calculate standard deviation, variance, and other statistical measures for a set of numbers.
How to Use This Calculator
Enter your values in the fields above and click "Calculate" to get instant results. This standard deviation calculator provides accurate results with step-by-step explanations.
Formula
σ = √(Σ(xᵢ - μ)² / N)
Quick Examples
- Data: 10,12,23,23,16,23,21,16 → σ ≈ 4.898
Frequently Asked Questions
What is the difference between population and sample standard deviation?
Population std dev divides by N; sample std dev divides by N-1 (Bessel correction) to provide an unbiased estimate.
What does standard deviation tell us?
Standard deviation measures how spread out the data is from the mean. A low value means data is clustered near the mean.