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CMA Foundation · Fundamentals of Business Mathematics and Statistics · Statistical Representation of Data

A distribution has classes 0-10, 10-20, 20-30, 30-40 and 40-50 with frequencies 5, 12, 18, 10 and 5. How many observations are there with value less than 30?

There are 35 observations below 30. This is the less-than cumulative frequency at the upper limit 30, obtained by adding the frequencies of the first three classes: 5 plus 12 plus 18, which equals 35.

  1. A17
  2. B30
  3. C35Correct
  4. D40

Explanation

Less-than-30 cumulative frequency = 5 + 12 + 18 = 35. The value 30 is excluded from 20-30 under the exclusive method, so the class 20-30 is fully below 30. Option 17 omits the class 20-30; 30 is wrong because it adds 5+12+18 incorrectly as the sum of 12+18.

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