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The mean diameter of a thin brass rod is...

The mean diameter of a thin brass rod is to be measured by a vernier calipers. Why is a set of 100 measurements of the diameter expected to yield a more reliable estimate than a set of 5 measurements only?

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To understand why a set of 100 measurements of the diameter of a brass rod is expected to yield a more reliable estimate than a set of 5 measurements, we can break down the reasoning into several steps: ### Step-by-Step Solution: 1. **Understanding Measurement Errors**: - Every measurement taken with a device like a Vernier caliper can be affected by errors. These errors can be classified into two main types: random errors and systematic errors. 2. **Random Errors**: ...
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