The diameter of a wire as measured by a Screw gauge was found to be 1.328, 1.330, 1.325, 1.326, 1.334 and 1.336 cm. Calculate (i) mean value of diameter (ii) absolute error in each measurement (iii) mean absolute error (iv) fractional error (v) percentage error. Also, express the result in term of absolute error and percentage error.

Explanation

To solve the problem step by step, we will follow the instructions given in the question and calculate each required value systematically.

### Step 1: Calculate the Mean Value of Diameter

The mean value (D̄) is calculated using the formula:

\[
D̄ = \frac{D_1 + D_2 + D_3 + D_4 + D_5 + D_6}{n}
...