Question

the Diameter of wire as measured by a screw found to be 1.328, 1.330, 1.325, 1.326, 1.334 and 1.336 cm calculate 5​

Answer 1

Answer:

The mean diameter of the given measurements is 1.329, the mean absolute error is 0.0035, the Fractional error is 7/2658 and the percentage error is 0.26336%.

Explanation:

1) Mean = Sum of all entries / Total entries

Sum of the entries = 1.328 + 1.330 + 1.325 + 1.326 + 1.334 + 1.336 = 7.979

The total entries = 6

Mean = 7.979/6 = 1.329

2) Absolute error = measured value - mean value.

(1.328 - 1.329) = 0.001, (1.330 - 1.329) = 0.001

(1.325 - 1.329) = 0.004, (1.326 - 1.329) = 0.003

(1.334 - 1.329) = 0.005, (1.336 - 1.329) = 0.007

3) Average absolute error = total absolute error / total entries

= (0.001 + 0.001 + 0.004 + 0.003 + 0.005 + 0.007) / 6 = 0.0035

4) Fractional error = Average absolute error/ Average length

= 0.0035/1.329

35/13290 = 7/2658

5) Percentage error is given as :

7/2658 × 100% = 0.26336