Absolute Error
Five measurements of a length give the values 5.03 m, 5.08 m, 5.05 m, 5.07 m, and 5.02 m. What is the mean absolute error in the measurement?
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About This Question
- Subject
- physics
- Chapter
- units and measurements
- Topic
- absolute error
- Difficulty
- Hard
- Year
- 2025
Solution
Correct Answer:
0.02 m
- Arithmetic Mean (xmean):
- xmean=55.03+5.08+5.05+5.07+5.02=525.25=5.05 m.
- Absolute Errors (∣Δxi∣):
- ∣5.05−5.03∣=0.02
- ∣5.05−5.08∣=0.03
- ∣5.05−5.05∣=0.00
- ∣5.05−5.07∣=0.02
- ∣5.05−5.02∣=0.03
- Mean Absolute Error (Δxmean):
- Δxmean=50.02+0.03+0.00+0.02+0.03=50.10=0.02 m.
- Result: The mean absolute error is 0.02 m.
This hard difficulty physics question is from the chapter units and measurements, covering the topic of absolute error. It appeared in the 2025 exam.
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