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
Write it in Obsidian
MathLive is a free visual math editor for Obsidian. Run Find a formula, type “root mean square”, and it goes into your note as editable LaTeX. You can also scan formulas from screenshots, PDFs and handwriting.