Math & Calculators•Free & Browser-Based
Standard Deviation Calculator
Calculate sample standard deviation, population standard deviation, variance, and mean with step-by-step deviation tables.
Mean (Average)21.67
Median22.00
Mode25
Sample Std Dev (s)5.98
Total Count: 9
Sum: 195
Min: 12
Max: 30
Variance: 35.75
Career PartnerSponsored
Land 3x More Interviews with AutoResume AI
Scan your resume against 50,000+ job descriptions, beat ATS keyword filters, and craft customized cover letters.
What is the Free Online Standard Deviation Calculator?
Standard deviation measures the dispersion or spread of values around their arithmetic mean. A low standard deviation indicates values cluster tightly near the mean; a high value indicates wide dispersion.
100% Client-Side Privacy: Calculations and data processing occur entirely in your local browser memory. Zero files or personal inputs are uploaded to our servers.
How to Use Standard Deviation Calculator Online: Step-by-Step Guide
- 1Enter your dataset numbers separated by spaces or commas.
- 2Review both Sample Standard Deviation ($s$, dividing by $n-1$) and Population Standard Deviation ($\sigma$, dividing by $N$).
- 3Inspect the variance and step-by-step deviation table.
Mathematical Formula & Underlying Logic
s = \sqrt{\frac{\sum (x_i - \bar{x})^2}{n - 1}} \quad | \quad \sigma = \sqrt{\frac{\sum (x_i - \mu)^2}{N}}
Related Search Topics & Keywords
Related Tools to Standard Deviation Calculator
Student PartnerSponsored
GitHub Student Developer Pack — $1,000+ in Free Software
Claim free GitHub Copilot, JetBrains All-Products IDE licenses, free .me domains, and $100 Azure cloud credits.