The length of a rod as measured in an experiment was found to be 2.48 m, 2.46 m, 2.49 m,
2.50 m and 2.48 m. Find the average length, the absolute error in each observation and the
percentage error.
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Explanation:
average length= (2.48 + 2.46 + 2.49 + 2.50 + 2.48)/5 =2.482.
absolute error = 2.48 - 2.482 = |0.002|
2.46 - 2.482 = |0.022|
2.49 - 2.482 = |0.008|
2.50 - 2.482 = |0.018|
2.48 - 2.482 = |0.002|
% error = relative error* 100 = mean absolute error / mean error
= [ (0.002) + (0.022) + (0.008) + (0.018) + (0.002) ] / 2.482
= (0.042) / 2.482 = 0.0169 (approx. value)
now % error = 0.0169*100 = 1.69%
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