A wire diameter is measured four times with a screw gauge: 1.324, 1.326, 1.334 and 1.336 cm. Which set correctly gives the mean diameter, mean absolute error, relative error and percentage error?
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Question

A wire diameter is measured four times with a screw gauge: 1.324, 1.326, 1.334 and 1.336 cm. Which set correctly gives the mean diameter, mean absolute error, relative error and percentage error?

G1 Physics · Accepted Answer

Mean diameter = (1.324+1.326+1.334+1.336)/4 = 1.330 cm. Absolute deviations are 0.006,0.004,0.004,0.006 cm, so mean error = 0.005 cm. Relative error = 0.005/1.330 ≈ 0.00376 and percentage error ≈0.376% ≈0.4%. Correct answer: A.