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NDA 2019 Maths · Mathematics · Statistics · easy

A set of observations has mean 20 and standard deviation 5. The coefficient of variation is

Single correct option

A set of observations has mean 2020 and standard deviation 55. The coefficient of variation is
  1. A. 4%4\%
  2. B. 100%100\%
  3. C. 0.25%0.25\%
  4. D. 25%25\%
Show answer and solution

Answer: (D) 25%25\%

The coefficient of variation is σxˉ×100=520×100=25%\frac{\sigma}{\bar x}\times100=\frac{5}{20}\times100=25\%. The value 4%4\% inverts the ratio, and 0.25%0.25\% forgets to convert the fraction 0.250.25 into a percentage.
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Original question written in the NDA 2019 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake