CA Foundation · Quantitative Aptitude · Statistical Description of Data
The 'less than' cumulative frequency distribution of marks of 60 students is: less than 20: 6; less than 40: 22; less than 60: 46; less than 80: 60. How many students scored 40 or more but less than 60?
24 students scored from 40 up to less than 60. This is found by subtracting the cumulative frequency below 40 (22) from the cumulative frequency below 60 (46), giving 24. The frequencies 6, 16, 24 and 14 total 60.
- A16
- B24Correct
- C14
- D38
Explanation
Frequency of class 40–60 = cumulative frequency up to 60 minus that up to 40 = 46 − 22 = 24. Check: classes are 6, 16, 24, 14, which sum to 60. The value 16 is the frequency of the 20–40 class, a wrong-class error.
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