CMA Foundation · Fundamentals of Business Mathematics and Statistics · Statistical Representation of Data
For the frequency distribution of monthly sales (₹ lakh) of 40 shops: 0-10: 5; 10-20: 9; 20-30: 12; 30-40: 8; 40-50: 6, what is the relative (percentage) frequency of the class with the highest frequency?
The relative frequency of the modal class is 30%. The class 20-30 has the highest frequency of 12 out of a total of 40 shops, and 12 divided by 40 equals 0.30. The frequencies sum to 40, confirming the total.
- A12%
- B25%
- C30%Correct
- D35%
Explanation
The highest frequency is 12, in the class 20-30. Relative frequency = 12 ÷ 40 = 0.30, or 30%. Check: 5+9+12+8+6 = 40. The option 25% would result from wrongly using 10 as the frequency.
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