Question

The diameter of wire measured by screw guage is 0.036 0.037 and 0.038 Calculate the percentage error in the measurement

Answer 1

Answer: 1.7%

Explanation:

Correct Answer:

Solution :

Mean measurement of wire

= 0.036+0.037+0.038/3=0.037cm

Taking 0.037cm as the true value, the absolute errors (true value - measured value) in the three readings taken are

0.037 - 0.036 = 0.001 cm               

0.037 - 0.037 = 0 cm                

0.037 - 0.038 = - 0.001 cm

The (maximum) mean absolute error is =0+0.001+0.001/3 =0.00066 cm

The percentage error is =0.00066/0.037×100                                                 = 1.7%