CA Foundation · Quantitative Aptitude · Statistical Description of Data
A cumulative frequency table of marks has these 'less than' frequencies: less than 20: 6; less than 40: 21; less than 60: 45; less than 80: 58; less than 100: 60. How many students scored 40 or more but less than 60?
24 students scored in the 40 to 60 class. The class frequency is the difference between consecutive 'less than' cumulative frequencies, so 45 minus 21 gives 24.
- A21
- B24Correct
- C15
- D39
Explanation
Frequency of the class 40-60 = (less than 60) - (less than 40) = 45 - 21 = 24. The value 21 is the cumulative frequency up to 40, not the class frequency. The value 15 is the 20-40 class frequency (21 - 6), and 39 is 60 - 21, which covers all marks of 40 or above.
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