A calculator gives the mean diameter of a set of micrometer readings on a wire as

PHYSICS · Multi-part · Fermi University Physics · Scientific Practice & Experimental Methods · Uncertainty in measurement · Uncertainty in measurement

Measurement and Method, Ch What a measured value is: quantities, units and the SI

Problem

A calculator gives the mean diameter of a set of micrometer readings on a wire as 0.712 345 67 mm0.712\,345\,67\,\mathrm{mm}, with an uncertainty of 0.003 412 3 mm0.003\,412\,3\,\mathrm{mm}. ((a)) Write this result in the house ±\pm form, with the uncertainty rounded to two significant figures and the value rounded to the same decimal place. ((b)) Write the same result in the concise bracket notation.

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