Root Mean Square
Find the quadratic mean of signed observations.
Your numbers
Root mean square
Use consistent units. The result follows the assumptions you enter.
Scenario comparison
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Formula
Use R = √[Σxᵢ²/n]. xᵢ are observations and n is their count. The root mean square R is nonnegative and uses the observations' unit.
Find the quadratic mean of signed observations.
Worked example
- Observations
- 3, 4
- Root mean square
- 3.53553390593
Scope and limitations
Use consistent units. The result follows the assumptions you enter.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: b1f31a90cb20 · Example checked: