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Question

The students are given a vernier calipers to measure the outer diameter of a cylinder. The actual outer diameter is 4 cm. The measurements made are given in the following table: StudentMeasurements12345A44444B3.53.63.73.83.65C3.73.94.14.34D3.64.24.44.84.25E4.0053.9954.053.954 In case C, the measurements are said to be:

A

Highly Accurate

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B

Highly Precise

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C

less precise

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D

less accurate

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Solution

The correct option is D

less accurate


We can't really use the analogy of the archer's story here because according to that we will have to say that the measurements are neither accurate nor precise. That story was interesting way to understand the distinction between accuracy and precision but it does not help us here.

So, going by the rigorous definition of accuracy if we take the average of these values the average comes out to be close to the actual value. So it is said to be accurate but we could say that is less accurate as compared to measurement E as the degree of deviation is higher.


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