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CA Foundation · Quantitative Aptitude · Statistical Description of Data

In a frequency distribution of 60 observations, the relative frequency of a class is 0.25. How many observations lie in that class, and what is its percentage frequency?

The class contains 15 observations and has a percentage frequency of 25 percent. Relative frequency is class frequency divided by the total, so the frequency is 0.25 multiplied by 60, which is 15, and multiplying 0.25 by 100 gives 25 percent.

  1. A15 and 25%Correct
  2. B25 and 15%
  3. C15 and 2.5%
  4. D20 and 25%

Explanation

Class frequency = relative frequency x total = 0.25 x 60 = 15. Percentage frequency = 0.25 x 100 = 25%. Check: 15/60 = 0.25. The option 25 and 15% swaps the two values.

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