Enter the data set of input points in the appropriate field of the Root Mean Square (RMS) calculator and calculate the RMS value as well as the number of input points (dataset size). You can paste the data copied from a spreadsheet or csv-file or manually using comma, space or enter as separators.
Root mean square formula
The root mean square (or RMS) value of a set of values is the square root of the arithmetic mean of the squares of the values. In the case of a dataset of \(n\) values \(\{ { x }_{ 1 },{ x }_{ 2 },…,{ x }_{ n }\}\), the RMS is
$${ x }_{ rms }=\sqrt { \frac { 1 }{ n } ({ x }_{ 1 }^{ 2 }+{ x }_{ 2 }^{ 2 }+…+{ x }_{ n }^{ 2 }) } .$$
Related calculators
Check out our other statistics calculators such as Linear Regression Calculator or Correlation Coefficient Calculator.