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
- Individual readings scatter randomly around the true value; what estimator cancels random scatter?
- 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: s. Reporting spread is what separates a measurement from a guess.
Practise Measurement, Uncertainty, and Error Analysis
The app has 10 more questions on this lesson, and keeps your place in the course. Physics I is free to start.