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CA Foundation · Quantitative Aptitude · Statistical Description of Data

In a survey of 200 households in Jaipur, the number of households in the class 5,000–10,000 of monthly electricity expenditure is 50. What is the relative frequency of this class, expressed as a percentage?

The relative frequency is 25%. It is obtained by dividing the class frequency of 50 by the total number of households, 200, giving 0.25, and multiplying by 100. Inverting the fraction or using the raw count gives incorrect answers.

  1. A4%
  2. B25%Correct
  3. C50%
  4. D20%

Explanation

Relative frequency = class frequency / total frequency = 50/200 = 0.25, which is 25%. The option 4% results from inverting the ratio (200/50 = 4). The option 50% simply reports the class frequency as a percentage.

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