CMA Foundation · Fundamentals of Business Mathematics and Statistics · Statistical Representation of Data
The frequency distribution of daily wages (in rupees) of 100 workers at a Coimbatore mill is: 200-300: 12; 300-400: 28; 400-500: 35; 500-600: 15; 600-700: 10. How many workers earn less than Rs 500?
75 workers earn less than Rs 500. Adding the frequencies of the classes below 500 gives 12 plus 28 plus 35, which equals 75. This is confirmed because the remaining 15 plus 10, or 25 workers, earn Rs 500 or more.
- A40
- B63
- C75Correct
- D85
Explanation
Less-than-500 cumulative frequency = 12 + 28 + 35 = 75. Check: workers earning 500 or more = 15 + 10 = 25, and 100 − 25 = 75. The value 63 is wrong because it drops part of the data and 85 wrongly adds the 500-600 class partly.
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