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Question

Physics Question on Units and measurement

Calculate the mean % error in five observations : 80.0, 80.5, 81.0, 81.5, 82

A

0.0074

B

0.0174

C

0.0038

D

0.0138

Answer

0.0074

Explanation

Solution

Mean of the errors = 80+80.5+81+81.5+825=81\frac{80+80.5+81+81.5+82}{5}=81 |80 - 81| = 1 |80.5 - 81| = 0.5 |81 - 81| = 0 |81.5 - 81| = 0.5 |82 - 81| = 1 Mean error =1+0.5+0+0.5+15=0.6=\frac{1+0.5+0+0.5+1}{5}=0.6 %\% errors =0.681×100=0.74%\frac{0.6}{81}\times100=0.74\%