UPSC NDA 2 2022 Mathematics Solved Paper

Concept:The coefficient of variation (CV) measures relative variability as a percentage.It is calculated using the formula: $\text{CV} = \frac{\text{Standard deviation}}{\text{Mean}} \times 100\%$.Explanation:For Mathematics, the given values are:Mean ($\mu$) = 40 marks, Standard deviation ($\sigma$) = 15 marks.Step 1: Write the CV formula: $\text{CV} = \frac{\sigma}{\mu} \times 100\%$.Step 2: Substitute the data: $\text{CV} = \frac{15}{40} \times 100\%$.Step 3: Simplify the fraction: $\frac{15}{40} = \frac{3}{8} = 0.375$.Step 4: Multiply by 100 to obtain the percentage: $0.375 \times 100 = 37.5\%$.Therefore, the coefficient of variation for Mathematics is 37.5%.Answer:Option A (37.5%).