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Two sections were compared. Section P: mean mark 45, standard deviation 9. Section Q: mean mark 60, standard deviation 9. By how many percentage points does the coefficient of variation of Section P exceed that of Section Q?

Competition practiceData & Probability
  • A15
  • B20
  • C5
  • D0

Step-by-Step Solution

Coefficient of variation = (standard deviation ÷ mean) × 100. Section P: (9 ÷ 45) × 100 = 20 percent. Section Q: (9 ÷ 60) × 100 = 15 percent. The difference is 20 − 15 = 5 percentage points. Equal standard deviations do not give equal coefficients of variation when the means differ, so the answer is not 0.
Answer: C) 5

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