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CA Foundation · Quantitative Aptitude · Statistical Description of Data

For a firm's 60 workers, the 'less than' cumulative frequencies of daily wages (₹) are: less than 300: 8; less than 400: 22; less than 500: 45; less than 600: 60. How many workers earn between ₹400 and ₹500 (i.e. in the class 400–500)?

Twenty-three workers earn between ₹400 and ₹500. The class frequency equals the difference between the less than 500 cumulative frequency of 45 and the less than 400 cumulative frequency of 22, giving 23.

  1. A14
  2. B23Correct
  3. C45
  4. D37

Explanation

Frequency of class 400–500 = C.F. (<500) − C.F. (<400) = 45 − 22 = 23. Option 14 is 22 − 8, the frequency of the class 300–400. Option 45 is the cumulative value itself.

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