CA Foundation · Quantitative Aptitude · Statistical Description of Data
For a continuous frequency distribution with classes 20–30, 30–40, 40–50, 50–60, the frequencies are 6, 14, 18 and 12. What is the relative frequency (as a percentage) of the class 30–40?
The relative frequency of the class 30–40 is 28%. The total frequency is 50, and the class frequency is 14, so 14 divided by 50 and multiplied by 100 gives 28 percent.
- A14%
- B28%Correct
- C36%
- D24%
Explanation
Total frequency = 6+14+18+12 = 50. Relative frequency of 30–40 = 14/50 × 100 = 28%. The option 14% wrongly treats the raw frequency as a percentage, and 36% corresponds to the modal class 40–50.
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