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NDA 2025 Maths · Mathematics · Statistics · easy

If the mean of a data set is 20 and its median is 18, the mode using the empirical relation is

Single correct option

If the mean of a data set is 2020 and its median is 1818, the mode using the empirical relation is
  1. A. 2424
  2. B. 1414
  3. C. 1616
  4. D. 1818
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Answer: (B) 1414

The empirical relation is Mode =3 =3\,Median − 2 -\,2\,Mean =3(18)−2(20)=54−40=14=3(18)-2(20)=54-40=14. The option 2424 swaps the roles of mean and median, and 1818 assumes mode equals median, which holds only for a symmetric distribution.
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Original question written in the NDA 2025 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