How this calculator works
Use this free standard deviation calculator page to calculate results, review the formula, and check a worked example before using the answer.
Example: for 12, 18, 20, 25, and 30, the population standard deviation is about 6.03.
- Enter the values for the formula
- Review the result and units
- Compare with the worked example
Before you use the result
Check the input units, confirm the formula fits your situation, and compare the result with the worked example. This makes the calculator useful for quick estimates without hiding the method.
Enter values
Use real measurements, time values, scores, or quantities.
Review formula
The formula is visible on the page so the result is not a black box.
Verify
Use the FAQ and related calculators when a unit or edge case changes.
Common questions
How does this standard deviation calculator work?
The Standard Deviation Calculator uses this formula: Standard deviation = sqrt(sum((x - mean)^2) / n). Enter your values, then compare the result with the worked example on the page.
Can I use this standard deviation calculator for final decisions?
Use it for quick educational estimates. Verify units, rounding, and any official requirement before relying on the result.
What inputs should I double-check?
Check that every input uses the expected unit, especially length, time, percentage, angle, or volume fields.
