Civil Engineering - UPSC Civil Service Exam Questions - Discussion

3. 

Based on the Gaussian law of distribution of random errors, the number of errors that are expected to exceed the limit of ± a, where 0 represents the standard deviation, out of 1000 observations is

[A]. 317
[B]. 46
[C]. 30
[D]. 3

Answer: Option A

Explanation:

No answer description available for this question.

Subha Annadurai said: (Mar 29, 2018)  
Anyone explain it.

Erick said: (Jul 10, 2018)  
Based on Gaussian law.

68.3% no. of errors at limit +/- 1a.
95.4% w/in +/- 2a.
99.7% w/in +/- 3a.

Therefore; no.of errors = 1000-(1000 * 68.3/100) = 317.

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