Root Mean Square Calculator
The square root of the mean of squared values.
Results and explanation
Enter your inputs to get started.
Numbers are processed locally. Results use floating-point arithmetic and up to 10 significant digits. List fields accept commas, spaces or line breaks.
How to use this calculator
Square every value, average the squares, and take the square root.
Worked example
For 3 and 4, RMS is √((9 + 16) ÷ 2), approximately 3.5355.
Check the units and assumptions before using your result. Explore related calculators or read our statistics guides.