The diameter of a wire as measured by screw gauge was found to be 2.620, 2.625, 2.630, 2.628 and 2.626 cm. Calculate
(a) mean value of diameter (b) absolute error in each measurement
(c) mean absolute error (d) fractional error
(e) percentage error (f) Express the result in terms of percentage error

Explanation

To solve the problem step by step, we will calculate the mean value of the diameter, absolute error in each measurement, mean absolute error, fractional error, percentage error, and finally express the result in terms of percentage error.

### Step 1: Calculate the Mean Value of Diameter
To find the mean value of the diameter, we sum all the measurements and divide by the number of measurements.

Given measurements:
- \( D_1 = 2.620 \, \text{cm} \)
- \( D_2 = 2.625 \, \text{cm} \)
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