CA Foundation · Quantitative Aptitude · Statistical Description of Data
In a frequency distribution, the class intervals are 0–10, 10–20, 20–30, 30–40 (exclusive method), with frequencies 5, 12, 20, 13. What is the class mark of the class that has the highest frequency?
The class mark is 25. The modal class by frequency is 20–30, which has frequency 20, and the class mark is the midpoint of its limits, (20 + 30)/2 = 25. The limits 20 and 30 are boundaries, not midpoints.
- A20
- B25Correct
- C30
- D15
Explanation
The class with the highest frequency (20) is 20–30. Class mark = (20 + 30)/2 = 25. Option 20 is the lower limit and 30 is the upper limit, not the midpoint.
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