JEE Physics · Medium

Errors and Measurements: Mean and Error MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Mean and ErrorMediumQuestion 30170

Question

Repeated measurement of a length gives (all in cm): 5.01, 4.99, 5.02, 4.98, 5.00. The result should be reported as:
  1. A
    5.00 ± 0.01 cm
    Correct
  2. B
    5.00 ± 0.02 cm
  3. C
    5.00 ± 0.1 cm
  4. D
    5.01 ± 0.01 cm

Correct answer

5.00 ± 0.01 cm

Explanation

Mean = 5.00. Deviations: 0.01, 0.01, 0.02, 0.02, 0.00. Mean absolute error = 0.06/5 = 0.012 ≈ 0.01 cm. Result: 5.00 ± 0.01 cm.