CMA Foundation · Fundamentals of Business Mathematics and Statistics · Statistical Representation of Data
The following frequency distribution shows the daily wages (in ₹) of 60 workers at a factory in Coimbatore: 200-300: 8; 300-400: 14; 400-500: 18; 500-600: 12; 600-700: 8. How many workers earn less than ₹500 per day?
Forty workers earn less than ₹500 per day. Adding the frequencies of the classes below 500 gives 8 plus 14 plus 18, which equals 40. This is confirmed because the remaining 20 workers earn 500 or more, totalling 60.
- A22
- B32
- C40Correct
- D42
Explanation
Less-than cumulative frequency up to 500 = 8 + 14 + 18 = 40. Check: workers earning 500 or more = 12 + 8 = 20, and 40 + 20 = 60. The option 32 omits the 400-500 class's full count by adding only 8 + 14 + 10 incorrectly, and 22 is only the first two classes.
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