Quadratic Mean (RMS) Calculator
Calculate the quadratic mean (root mean square, RMS) of a list of numbers.
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Tool guide
Quadratic Mean (RMS) Calculator: how it works
Practical information to understand the result and use this tool correctly.
About Quadratic Mean (RMS) Calculator
Calculate the quadratic mean (root mean square, RMS) of a list of numbers.
The tool runs directly in the browser for immediate results.
How to use it
- 1Enter the values you want to calculate or process.
- 2The result updates instantly on the same page.
- 3Copy, share, or export the result if the tool allows it.
Frequently asked questions
- Do I need to sign up?
- No. The tool works without an account.
- Are my data uploaded?
- Compatible operations run locally in the browser.
- What is the quadratic mean (RMS)?
- RMS = sqrt( Σ(x_i²) / n ). It is useful for signal magnitudes, AC voltages, and when larger values should weigh more than in the arithmetic mean.
- How does it differ from the arithmetic mean?
- The arithmetic mean treats all values equally. RMS squares them first, so outliers influence the result more. For non-negative numbers RMS ≥ arithmetic mean.