Using a screw gauge the diameter was measured. The readings are given belwo: 0.39 mm, 0.38 mm, 0.39 mm, 0.41 mm, 0.38 mm, 0.37 m, 0.40 mm,0.39 mm. Calculate (i) the most accurate value of the diameter (ii) the relative error and (iii) percentage error.

Explanation

To solve the problem step by step, we will follow the instructions provided in the video transcript and calculate the most accurate value of the diameter, the relative error, and the percentage error.

### Step 1: Calculate the Most Accurate Value of the Diameter
To find the most accurate value (mean value) of the diameter, we will sum all the readings and divide by the number of readings.

Given readings:
- \( r_1 = 0.39 \, \text{mm} \)
- \( r_2 = 0.38 \, \text{mm} \)
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