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CA Foundation · Quantitative Aptitude · Statistical Description of Data

The 'more than' cumulative frequency of a distribution of 80 shop-owners' monthly rent (₹'000) is: more than 10: 80; more than 20: 68; more than 30: 49; more than 40: 27; more than 50: 9; more than 60: 0. What is the frequency of the class 30–40?

The frequency of the class 30–40 is 22. In a more than cumulative series, a class frequency equals the cumulative figure at its lower limit minus the cumulative figure at its upper limit, here 49 minus 27. Using adjacent classes gives 19 or 18 instead.

  1. A22Correct
  2. B19
  3. C18
  4. D27

Explanation

The frequency of the class 30–40 is (more than 30) minus (more than 40) = 49 − 27 = 22. The value 19 is the frequency of 20–30 (68 − 49), and 18 is that of 40–50 (27 − 9). Check: 12+19+22+18+9 = 80.

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