CMA Foundation · Fundamentals of Business Mathematics and Statistics · Statistical Representation of Data
A frequency distribution has the exclusive classes 0-10, 10-20, 20-30, 30-40 with frequencies 5, 12, 18, 10. How many observations have a value less than 30?
35 observations are below 30. The less-than cumulative frequency at the upper limit 30 adds the frequencies of the first three classes, 5, 12 and 18, giving 35. The last class 30-40 has values of 30 or more under the exclusive method.
- A35Correct
- B17
- C30
- D45
Explanation
Less than 30 means the classes 0-10, 10-20 and 20-30 are included: 5 + 12 + 18 = 35. Option 45 is the total and wrongly includes the 30-40 class. Option 30 wrongly leaves out the 5 of the first class.
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