Mathematics
Root Mean Square Calculator
Find the root mean square of equally weighted values.
Let’s calculate.
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THE IDEA, SIMPLY
How it works
Find the root mean square of equally weighted values.
FORMULA
RMS = √(sum of squares / count)
A worked example
The RMS of 3 and 4 is √12.5 ≈ 3.5355.
Formula & detailed explanation
Up to 1,000 values. This is RMS, not the arithmetic mean.
Calculations use decimal arithmetic with 40 significant digits internally. Choose 0–8 decimal places for the displayed result. Trailing zeros are omitted. Rounding affects only the displayed and copied result; very small values may round to zero. Accepted inputs have up to 100 characters and magnitudes from 10⁻¹⁰⁰ to 10¹⁰⁰, plus zero.