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Two students (X and Y) measured the diameter of a gold coin four

times. The results were recorded in the table below. The actual diameter
of the coin is 28.0 mm.
a) Which student (x or Y) had measurements that are precise but not
accurate?
b) Which student (X or Y) had measurements precise and accurate?

1 Answer

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Step-by-step explanation:

To solve this problem, we need to understand the concept of precision and accuracy.

Through this understanding we apply to solve this problem.

  • Precision is the ability to reproduce the same set of values in an experiment.
  • Accuracy is the nearness or closeness of the measured value to the true value.

For example; if the true value is 28.0mm and the following readings were made:

A = 24.0mm, 24.0mm, 24.3mm, 23.9mm This is a precise measurement but not accurate.

B = 27.9mm, 28.0mm, 28.1mm: This is an accurate measurement because it is close to the true value.

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