Standard Deviation Calculator
Calculate sample or population standard deviation, variance, mean and count from a list of numbers.
Calculator workspace
Enter your values, then calculate to see the result and supporting figures.
How This Standard Deviation Calculator Works
Calculate sample or population standard deviation, variance, mean and count from a list of numbers. The rebuilt page uses calculator-specific logic rather than the legacy page script. Inputs are validated before calculation, and supporting figures are shown with the headline result so the arithmetic is easier to check.
Core method: Population variance = Σ(x−μ)²/N; sample variance = Σ(x−x̄)²/(N−1).
How to Use It
- Enter the values requested in the calculator workspace.
- Select Calculate and correct any input highlighted by validation.
- Review the main answer, supporting figures and formula/method shown with the result.
- Use Copy Result, Share Result or Save Result Image if you need to keep the calculation.
Worked Example
For 10, 12, 14, 16, 18, the population mean is 14 and population standard deviation is about 2.828.
Common Uses
- Statistics homework
- Data variability
- Spreadsheet checks
Common Search Questions About Standard Deviation Calculator
How do I calculate this?
Calculate sample or population standard deviation, variance, mean and count from a list of numbers.
What formula does this calculator use?
Population variance = Σ(x−μ)²/N; sample variance = Σ(x−x̄)²/(N−1).
How can I get the result quickly?
Enter the required values and select Calculate. The rebuilt mobile interface brings the result into view instead of leaving it far below the form.
Important Limitations
Results are estimates based only on the values entered. Verify important decisions against the relevant source records, rules or professional guidance.
Frequently Asked Questions
Does the calculator upload my inputs?
No. The calculation runs in the browser and does not require an account.
Can I calculate again with different values?
Yes. Change any input and calculate again to compare scenarios.
Should I verify important results?
Yes. For high-impact financial, legal, health, engineering or contractual decisions, compare calculator output with current source information and appropriate professional guidance.