# What is the relation between maximum error for a measurement method and standard deviation in the case of random errors?

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What is the relation between maximum error for a measurement method and standard deviation in the case of random errors?

(a) Maximum error equal to standard deviation

(b) Maximum error is two times of standard deviation

(c) Maximum error is three times of standard deviation

(d) Maximum error is four times of standard deviation

The question was posed to me in unit test.

The above asked question is from Evaluating Uncertainty in Measurement in portion Evaluating Uncertainty in Measurement of Engineering Metrology

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Correct option is (c) Maximum error is three times of standard deviation

Best explanation: Spread of possible random error values is determined by the maximum error. The maximum error for a measurement method is three times the standard deviation. The maximum error and standard deviation determine the accuracy of measurement.

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