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Root Mean Square

STATISTICS & ALGEBRA

Root Mean Square

Find the RMS magnitude of a numeric list.

UNDERSTAND YOUR RESULT

How it works

Find the RMS magnitude of a numeric list.

THE CALCULATIONsqrt(mean(values²))

Using this calculator

Enter numbers. sqrt(mean(values²)).

What to keep in mind

Enter 1–1,000 finite numbers, separated by commas, spaces or line breaks. A sample variance needs at least two values. Quartiles use linear interpolation at index (n−1)p.

Frequently asked questions

Are my entries saved?

No. Calculator inputs remain in the current page and are cleared when you reload or leave. The tools do not upload your entries.

Why are results rounded?

The display is rounded for readability. Calculations use unrounded intermediate values. An estimate should not be interpreted as an exact measurement.