Physics I / Measurement, Uncertainty, and Error Analysis
Practice question · Multiple choice

Five stopwatch timings of one pendulum swing: 2.01, 1.98, 2.03, 1.99, 2.02 s. A classmate reports the result as 1.98 s "because it was measured too". What is the right report?

Hints
  1. Individual readings scatter randomly around the true value; what estimator cancels random scatter?
  2. A measurement without an uncertainty is only half a result.
Show the answer

A. The mean 2.01 s, with uncertainty from the spread

Why

Averaging beats picking: random errors partially cancel in the mean, and the scatter (standard deviation ≈ 0.02 s) becomes the honest uncertainty: T=2.01±0.01T = 2.01 \pm 0.01 s. Reporting spread is what separates a measurement from a guess.

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