Root Mean Square Calculator
Calculate the quadratic mean of an equally weighted numeric series.
Your result
MATHEnter your values and select calculate.
On this page How it works & practical examples
How to use the Root Mean Square Calculator
Signed observations are allowed because their squares contribute to the magnitude. If used for a signal, the entered samples must represent the intended interval with equal weighting.
The calculation
Worked example
For 3 and 4, RMS is √12.5, or about 3.5355.
Assumptions and limits
No waveform is sampled automatically and no frequency weighting is applied. RMS includes any DC offset; it is not generally the standard deviation.
Common questions
Which inputs should I use?
Signed observations are allowed because their squares contribute to the magnitude. If used for a signal, the entered samples must represent the intended interval with equal weighting.
What does the result exclude?
No waveform is sampled automatically and no frequency weighting is applied. RMS includes any DC offset; it is not generally the standard deviation.