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What is the main characteristic of random errors used to determine maximum measuring error?

(a) Cumulative error

(b) Standard deviation

(c) Variance

(d) Median

I have been asked this question by my college professor while I was bunking the class.

The question is from Evaluating Uncertainty in Measurement topic in chapter Evaluating Uncertainty in Measurement of Engineering Metrology

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The correct choice is (b) Standard deviation

For explanation I would say: Random errors are those which are produced due to large number of fluctuating and unpredictable errors that are non controllable in nature. The main characteristic of random errors is standard deviation, used to determine maximum measuring error.

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