Error AnalysisHardQuestion 5038
Question
The mean absolute error in five measurements of time: 2.63, 2.56, 2.42, 2.71, 2.80 seconds is approximately:
- A0.10 s
- B0.11 sCorrect
- C0.12 s
- D0.13 s
Correct answer
0.11 s
Explanation
The mean is 13.12/5 = 2.624 s. Absolute deviations are 0.006, 0.064, 0.204, 0.086 and 0.176 s. Their sum is 0.536 s, so the mean absolute deviation is 0.1072 s, approximately 0.11 s. This is scatter about the mean, not a known error from the true time.