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Root Mean Square of Three Values Calculator

root mean square. Example: A: 2 units, B: 2 units, C: 2 units gives 2 units. Exactly three equally weighted observations in one unit. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation.

YOUR INPUTS Live calculation

Exactly three equally weighted observations in one unit. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation. Derivation: Square, average, then take positive square root.

Accepted inputs: A: -1,000,000 to 1,000,000 units; B: -1,000,000 to 1,000,000 units; C: -1,000,000 to 1,000,000 units.

Example values. Enter your own inputs.

root mean square

2units

How the calculation works

RMS = √((a²+b²+c²)/3)

Worked example

With a 2 units, b 2 units, c 2 units, root mean square is 2 units.

Assumptions and limits

Exactly three equally weighted observations in one unit. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation. Derivation: Square, average, then take positive square root.

root mean square2 units
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