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STATISTICS / MAGNITUDE AVERAGE

Root Mean Square Calculator

Calculate RMS, mean square, arithmetic mean, and peak absolute magnitude across six signed values.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Six-value data set

Preparing the calculator...

Use boundary

Calculation path

Each value is squared, the squares are averaged, and the positive square root returns a magnitude in the original scale.

Calculation path

RMS = square root of the average of all squared values.

What you provide

What you provide

  • Value 1: The 1st equally weighted value in the data set.
  • Value 2: The 2nd equally weighted value in the data set.
  • Value 3: The 3rd equally weighted value in the data set.
  • Value 4: The 4th equally weighted value in the data set.
  • Value 5: The 5th equally weighted value in the data set.
  • Value 6: The 6th equally weighted value in the data set.

What you receive

What you receive

  • Root mean square
  • Mean of squared values
  • Arithmetic mean and peak magnitude

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

RMS measures magnitude rather than direction; unit and sampling assumptions must be consistent across all values.

Results are educational math aids. Check notation, units, rounding, assumptions, and required precision before using an answer in graded, engineering, financial, or safety-critical work.

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