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Root Mean Square (RMS) Calculator

Result

Calculated result 2.1213203436 Based on the values entered.
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Root Mean Square (RMS) Calculator — free online calculator.

Formula

RMS = √(Σxᵢ² / n)
  • Root Mean Square (RMS) Calculator calculates its result from Periods, Sumxi. It uses the formula RMS = √(Σxᵢ² / n). Change any input to recalculate the result instantly.
  • The main inputs are Periods, Sumxi. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Root Mean Square (RMS)

Inputs
  • Periods: 2
  • Sumxi: 3

Using Periods = 2, Sumxi = 3, the calculated result is 2.1213203436.

Sample result: Calculating…

Frequently asked questions

What does the Root Mean Square (RMS) calculate?

Root Mean Square (RMS) Calculator — free online calculator.

Which values should I enter?

Enter Periods, Sumxi using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: RMS = √(Σxᵢ² / n).

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 7, 2026