Physics · Glossary

What is Normalized deviation?

Definition 1.21 University Physics — Year 1 · Chapter 1 — Units, Dimensions, and Measurement

Two results x1±u1x_1 \pm u_1 and x2±u2x_2 \pm u_2 of the same measurand are compared through their normalized deviation

z=x1x2u12+u22.z = \frac{\abs{x_1 - x_2}}{\sqrt{u_1^2 + u_2^2}} .

They are compatible when z2z \leq 2; a larger zz points to an unaccounted effect — or an underestimated uncertainty. When x2x_2 is a reference value with no quoted uncertainty, take u2=0u_2 = 0.

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