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If a student measured the mass of an object on a balance three times and obtained the values 14.568 g, 14.566 g, and 14.565 g, the range and percent of the average value between the measurements would be ____________

If a student measured the mass of an object on a balance three times and obtained the values 14.568 g, 14.566 g, and 14.565 g, the range and percent of the average value between the measurements would be ____________ Correct Answer 0.003gm,0.02%

Range = (14.568 – 14.565) g = 0.003 g, This is a reasonable range; the uncertainty appears in the last significant figure of the measured value, as it should. The average value for the mass of the object is 14.566 g. Therefore: % of average = (0.003 g/14.566 g) x 100% = 0.02% the range as a percent of average (RPA) has only one significant figure in this case because the numerator of the fraction has only one.

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