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GATE 2024 IN – Question 37

Measurements · Errors and uncertainty · 2 marks · Multiple choice

The measured values from a flow instrument, whose range is between 0 and 2 flow units, are shown in the histogram. The systematic error (bias) and the maximum error (in flow units), respectively are

Diagram for GATE 2024 IN question 37
  1. 0.12 and 0.14
  2. 0.01 and 0.10
  3. 0.10 and 0.14
  4. 0.04 and 0.12

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Show answer and explanation

Correct answer: (A) 0.12 and 0.14

Explanation

The readings cluster around 0.37 flow units while the true value is 0.25, so bias is approximately 0.12.

The largest reading is 0.39, giving maximum absolute error 0.39−0.25=0.14.

Therefore **A**.

Frequency weighting gives nearly the same rounded central value.