Root Mean Square (RMS) Calculator

Your details

Enter the numbers you want to analyse. Separate them with commas, spaces, or line breaks. Negative numbers and decimals are both fine.
Statistical summary shows mean, variance and standard deviation. AC voltage shows the peak-to-RMS relationship used in electrical engineering. Weighted RMS lets you assign a weight to each value.
Root Mean Square (RMS)
5.196152

The quadratic mean of the dataset

Count (n)5
Arithmetic Mean5
Variance2
Standard Deviation1.414214
RMS5.196152
Mean5
Std Dev1.414214

RMS = 5.1962

  • The RMS of your 5 values is 5.1962.
  • The arithmetic mean is 5.0000 and the standard deviation is 1.4142. The RMS is always greater than or equal to the absolute arithmetic mean because squaring penalises larger deviations.

Next stepTry the weighted RMS mode to give some values more influence than others.

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