CA Foundation · Quantitative Aptitude · Statistical Description of Data
A frequency distribution of marks has these classes with frequencies: 0–10: 4, 10–20: 7, 20–30: 12, 30–40: 9, 40–50: 8. What is the 'less than' cumulative frequency corresponding to the upper limit 30?
The less than cumulative frequency at 30 is 23. It is found by adding the frequencies of all classes ending at or before 30, that is 4 + 7 + 12. Including the 30–40 class would wrongly give 32.
- A11
- B23Correct
- C32
- D29
Explanation
The 'less than 30' cumulative frequency adds all classes with upper limits up to 30: 4 + 7 + 12 = 23. The value 32 comes from 4+7+12+9, which wrongly includes the 30–40 class. The value 11 omits the 20–30 class.
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