EXPERIMENT 2.MEASUREMENT AND PRECISIONyour measured value asx0±δxwherex0is the average value from your measurements andδxis called the uncertainty and is half the deviation from the largest to smallest measuredvalues.Note that the number of significant figures you include in your results is limited by thenumber of significant figures in the least precise measurement in your data. Suppose youmeasured the circumference to bec= 508 mm (which has 3 significant figures) and youmeasured the diameter to bed= 148 mm (which also has 3 significant figures). Accordingto your calculator, the ratioc/dis equal to 3.432432432. This has 10 significant figures! Youmust round off this answer to three significant figures and writec/d=3.43.Numbers containing too many significant figures are wrong because they imply a precisionthat is not justified by your measurements! For the same reason quantities calculated frommeasured values that do not include the uncertainty are wrong. To reiterate, your final result
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