RMS calculator (root mean square)
Calculate the quadratic mean: square each value, average, then take the square root. Used in physics and engineering.
Values
RMS formula
RMS = √(Σxᵢ² / n)
For 1,2,3,4,5: squares = 1,4,9,16,25. Mean of squares = 55/5 = 11. RMS = √11 ≈ 3.317.
Where RMS is used
AC electricity: RMS voltage = peak/√2. Error analysis: RMSE measures prediction accuracy. Signal processing: RMS measures signal power.
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