Measurement

Random Error

Definition

Unpredictable, statistical variation in measurements caused by uncontrolled factors such as electronic noise, vibration, or environmental fluctuations.

Explanation

Repeatedly measuring the same 10.000 cm rod might yield 9.998, 10.002, 9.999, 10.001 cm across different trials. These variations are random errors with zero mean over many measurements. Unlike systematic errors, random errors are reduced by averaging: 100 measurements reduce random error by a factor of 10 compared to a single measurement (proportional to 1/√n).

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