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Question 30198
JEE Physics · Hard

Errors and Measurements: Error — Advanced Concept MCQ

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Error — Advanced ConceptHardQuestion 30198

Question

In an experiment, a student increases the number of observations from 4 to 16. The standard error of the mean changes by a factor of:
  1. A
    4
  2. B
    1/4
  3. C
    2
  4. D
    1/2
    Correct

Correct answer

1/2

Explanation

Standard error ∝ 1/√n. Going from n=4 to n=16: factor = √4/√16 = 2/4 = 1/2. The error is halved.

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