AnsRioSmart tools. Clear answers.
Home / Math & statistics / Standard deviation
Math & statistics

Standard deviation

Standard deviation: Sum squared deviations from mean ÷ N (population) or N−1 (sample); take square root

Make it your own ⌁ Runs on your device

Your inputs are processed locally and are not added to analytics or saved history.

YOUR RESULT
Ready when you are.

Enter your values, then select Calculate.

How it works

Sum squared deviations from mean ÷ N (population) or N−1 (sample); take square root

Input definitions

Numbers separated by commas or spaces
Plain text; maximum 200,000 characters.
Model
Choose Population / Sample.

A worked example

Numbers separated by commas or spaces
1, 2, 3, 4, 5
Model
Population
1.4142135623730951

Assumptions & limits

Uses the stated input units. Results are rounded for display; keep additional precision for subsequent calculations.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-17. Content checked against the stated method and examples. Our verification approach.

Common questions

Why can statistical results differ between tools?

Denominator, interpolation and boundary conventions can differ. Use the method and assumptions on this page to compare the same definition; displayed decimals may also be rounded.

How does the Standard deviation tool work?

Sum squared deviations from mean ÷ N (population) or N−1 (sample); take square root.

What are the assumptions and limits of Standard deviation?

Uses the stated input units. Results are rounded for display; keep additional precision for subsequent calculations.

↗
Made for the question in front of you.

No sign-up. Tool inputs stay on your device.

How we work