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If I have a measurement $A$ with uncertainty $\Delta A$, then what is the error if I do a calculation like $\frac{A}{\sqrt{3}}$?

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  • $\begingroup$ To add to the answers, more generally search for error analysis. $\endgroup$
    – wwarriner
    Oct 6 '16 at 23:31
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In general, if the calculation is multiplication by a constant, then you multiply the uncertainty by the same constant. That's assuming that "uncertainty" refers to something like standard deviation, rather than to variance: if it's variance, then you multiply by the square of the constant.

If it's addition of a constant, it doesn't change the uncertainty.

If it's doing anything fancy like taking a log or raising to a power, or including some other random variable or more than one observation of your existing variable, then it gets complicated: and as a general approach, one can run a Monte Carlo simulation to get a numeric answer.

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I'f I understand correctly the error should be (delta A)/sqrt(3). Then the percentage error would be that over the actual answer.

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