Lets say I have 10 weights all with an error of measurement of +/- 0.0002 grams and I have calculated the estimated measure of uncertainty (emu) of 0.010 grams for the weighing process using this balance. I know the average error of measurement is 0.02 grams and the average of the emu is (square root of 10) times 0.010. If the average of the weights were 10.1596 grams, and each weight was reported to 4 decimals, how do I determine the total variance (emu + error of measurement) for the average? Since the emu is 0.010 grams, do I have to go back to the original data and report all weights to 2 decimal places and recalculate the average
with the error of measurement being +/- 0.01 grams? Or does the emu set the number of significant figures and the error of measurement the range of variance?
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