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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Statistics

NDA 2022 · Mathematics · Statistics

The mean and standard deviation (SD) of marks obtained by 50...

The mean and standard deviation (SD) of marks obtained by 50 students of a class in 4 subjects are given below:
SubjectMathematicsPhysicsChemistryBiology
Mean
Marks		40283836
SD15121416
Which one of the following subjects shows highest variability of marks?

Options

  1. AMathematics
  2. BPhysics
  3. CChemistry
  4. DBiology

Correct answer

C. Chemistry

Step-by-step solution

C.V. of Mathematics =1540×100=37.5%=\frac{15}{40} \times 100=37.5 \% C.V. of Physics =1228×100=42.86%=\frac{12}{28} \times 100=42.86 \% C.V. of Chemistry =1438×100=36.84%=\frac{14}{38} \times 100=36.84 \% C.V. of Biology =1636×100=44.44%=\frac{16}{36} \times 100=44.44 \% Since C.V. of Biology is greatest, therefore, Biology have more variability.
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