Statistics & Probability

Root Mean Square

Quadratic mean of data.

Formula

Formula
RMS = Σ xi2n

Variables

SymbolDefinitionType & rangeUnitsRole
xᵢ data values computed result result
n count computed result result

Try it yourself

Interactive calculator
comma or space separated numbers
Result

Worked examples

Example 1
Givendata = 1, 2, 3, 4
Result2.738612788
Example 2
Givendata = 3, 4
Result3.535533906