Root mean square

Gives the root mean square of a set of n values, the square root of the average of their squares. It is used to measure the typical magnitude of varying quantities, such as alternating current or signal error, regardless of sign.

x_{\mathrm{RMS}} = \sqrt{\frac{1}{n} \sum_{i=1}^{n} x_i^2}

What the symbols mean

root mean square of the values
number of values
the i-th value in the set

About this formula

  • FieldStatistics
  • TopicDescriptive statistics
  • LevelHigh school
  • Also calledRMS formula, quadratic mean, root-mean-square value, RMS value, rms of a set of values, square root of mean of squares
  • SourceWikidata Q223323

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