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CA Foundation · Quantitative Aptitude · Statistical Description of Data

For a firm's 50 employees, the 'more than' cumulative frequencies of age (in years) are: more than 10: 50; more than 20: 42; more than 30: 30; more than 40: 12; more than 50: 0. How many employees fall in the class 30-40?

There are 18 employees in the 30-40 class. In a more-than cumulative series, the class frequency is the count above 30 minus the count above 40, which is 30 minus 12. The figures 30 and 12 are cumulative counts, not the class frequency.

  1. A12
  2. B18Correct
  3. C30
  4. D42

Explanation

In a 'more than' series, the frequency of a class is the cumulative frequency at its lower limit minus that at its upper limit. Here it is 30 − 12 = 18. The value 12 is only the count above 40, and 30 is the count above 30.

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