CA Foundation · Quantitative Aptitude · Statistical Description of Data
A frequency distribution has inclusive classes 10-19, 20-29, 30-39 and 40-49 with frequencies 5, 12, 9 and 4. It is converted into an exclusive distribution by correcting the class boundaries. The 'less than' cumulative frequency at the upper boundary of the third class is:
The answer is 26. Correcting for the gap of 1 converts the third class to 29.5-39.5, so the less than 39.5 cumulative frequency adds the first three class frequencies: 5 plus 12 plus 9.
- A26Correct
- B17
- C30
- D21
Explanation
The gap between classes is 1, so the correction is 0.5. The third class becomes 29.5-39.5. Less than 39.5 includes the first three classes: 5 + 12 + 9 = 26. Option 17 stops at the second class. Option 30 includes all four classes. Option 21 omits the second class and adds the others.
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