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CA Foundation · Quantitative Aptitude · Statistical Description of Data

A frequency table of 40 shops' monthly rent (₹'000) has classes 10–20, 20–30, 30–40, 40–50 with frequencies 5, 15, 12, 8. What is the 'more than' cumulative frequency corresponding to the lower limit 30?

The 'more than' cumulative frequency at the lower limit 30 is 20. It is obtained by adding the frequencies of all classes starting from 30 upward: 12 for 30–40 and 8 for 40–50, giving 20 shops.

  1. A20Correct
  2. B35
  3. C12
  4. D25

Explanation

Shops with rent of 30 or more are those in classes 30–40 and 40–50: 12 + 8 = 20. The value 35 is the 'more than' figure at 20 (15+12+8), the wrong lower limit. The value 25 is the 'less than 30' figure (5+15=20) plus error, and 12 counts one class only.

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