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UPSC Combined Geo-Scientist

Chemist

  • 3 descriptive papers
  • 200 marks each
  • 3 h per paper

Mains Paper III covers analytical and organic chemistry.

UPSC Combined Geo-Scientist, Mains · 2022 · Mains Paper III

Q1(a). Accuracy and precision

Question

Define the terms “Accuracy” and “Precision” in quantitative analysis.

Answer in brief

Accuracy is the closeness of a result (or of the mean) to the true or accepted value; precision is the closeness of replicate results to one another.

Key points

  • Accuracy: the degree of agreement between the measured value (or the mean of replicates) and the true or accepted value.
  • Accuracy is expressed as absolute error E = x̄ − μ or relative error; it is lowered by determinate (systematic) errors.
  • Precision: the degree of agreement among replicate measurements of the same quantity (repeatability, reproducibility).
  • Precision is expressed as standard deviation, relative standard deviation, variance, range or confidence interval; it is governed by indeterminate (random) errors.
  • Good precision does not guarantee accuracy: high precision is a necessary but not sufficient condition for accuracy.

The full model answer

As written for the answer booklet: the diagram carries the working, the lines stay short. Read here only; it is not offered as a download.

Model answer to Q1(a), 2022 Mains Paper III: solution pages 1 and 2
Solution pages 1 and 2 of 38

Coversaccuracyprecisionsystematic errorrandom errorstandard deviation