Standard Deviation Calculator
Compute population and sample standard deviation, variance, mean, median, mode, and range with a full step-by-step deviation table. CSV export.
Standard Deviation Calculator
Compute population and sample standard deviation, variance, mean, median, mode, range, and a full step-by-step deviation table. Export results to CSV.
Data Set
Sample Result
Descriptive Statistics
Step-by-Step Computation
| i | xᵢ | xᵢ − μ | (xᵢ − μ)² |
|---|---|---|---|
| 1 | 4 | -14 | 196 |
| 2 | 8 | -10 | 100 |
| 3 | 15 | -3 | 9 |
| 4 | 16 | -2 | 4 |
| 5 | 23 | 5 | 25 |
| 6 | 42 | 24 | 576 |
| Σ (xᵢ − μ)² | 910 | ||
Frequently Asked Questions
What is the Standard Deviation Calculator?
The Standard Deviation Calculator is a free online tool that compute population and sample standard deviation, variance, mean, median, mode, and range with a full step-by-step deviation table. csv export.. It runs entirely in your browser with no installation or sign-up needed.
Population vs sample standard deviation?
Population divides by N (entire population). Sample divides by N-1 (Bessel correction) for an unbiased estimate when the data is a sample from a larger population.
How do I enter data?
Paste numbers separated by commas, spaces, tabs, semicolons, or newlines. Blanks and non-numeric tokens are ignored, so you can paste from spreadsheets or CSVs directly.
Why is sample stddev undefined for n=1?
Sample stddev divides by N-1, which is 0 when n=1. Add at least a second value, or switch to Population mode which is defined for n >= 1.
Is the Standard Deviation Calculator free to use?
Yes, the Standard Deviation Calculator is 100% free with no registration, no hidden fees, and no usage limits. All processing happens locally in your browser, ensuring complete privacy.
Does the Standard Deviation Calculator work on mobile devices?
Yes, the Standard Deviation Calculator is fully responsive and works on smartphones and tablets. You can use it on any device with a modern web browser -- no app download required.
Do I need to create an account to use this tool?
No account or registration is needed. Simply open the Standard Deviation Calculator in your browser and start using it immediately. There are no sign-up walls or usage restrictions.
How accurate are the calculations?
The Standard Deviation Calculator uses industry-standard formulas and algorithms to ensure accurate results. However, for critical financial or medical decisions, always consult a qualified professional.
Which browsers are supported?
The Standard Deviation Calculator works in all modern browsers including Chrome, Firefox, Safari, Edge, and Opera. For the best experience, use the latest version of your preferred browser.
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About Standard Deviation Calculator
Standard Deviation Calculator is a free, browser-based tool in our Calculator Tools collection. Everything runs locally on your device — no uploads, no sign-up, and your data stays private.