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The radius of a sphere measured repeated...

The radius of a sphere measured repeatedly yields values 5.63 m, 5.54 m, 5.44 m, 5.40 m and 5.35 m. Determine the most probable value of radius and the mean absolute, relative and percentage errors.

Text Solution

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Most probable value of radius is its arithmetic mean
` = (5.63 + 5.54 + 5.44 + 5.40 + 3.35)/5 m`
` = 5.472 m`
Mean absolute error

` = (0.452)/5 = 0.0904 m`
Relative error ` = (0.0904 )/(5.472) = 0.017`
% error = 1.7%
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