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 ____________(a) 0.005gm, 0.01%(b) 0.004gm,0.02%(c) 0.003gm,0.02%(d) 0.001gm,0.01%The question was asked during an interview.My question is taken from Errors in Data and Calculations topic in section Presentation and Analysis of Data of Bioprocess Engineering

If a student measured the mass of an object on a balance three times a

1.	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 ____________(a) 0.005gm, 0.01%(b) 0.004gm,0.02%(c) 0.003gm,0.02%(d) 0.001gm,0.01%The question was asked during an interview.My question is taken from Errors in Data and Calculations topic in section Presentation and Analysis of Data of Bioprocess Engineering
Answer» The correct option is (c) 0.003gm,0.02% EXPLANATION: 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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