CMA Foundation · Fundamentals of Business Mathematics and Statistics · Statistical Representation of Data
A cumulative 'less than' frequency distribution of monthly wages of workers in a Coimbatore mill is: less than 10 (thousand) = 8, less than 20 = 26, less than 30 = 56, less than 40 = 80, less than 50 = 90. How many workers earn at least 20 but under 40 thousand, and what is the frequency of the class 40-50?
54 workers earn between 20 and 40 thousand, and the class 40-50 has frequency 10. These come from differences of the cumulative figures: 80 minus 26 for the first and 90 minus 80 for the second.
- A54 and 10Correct
- B54 and 90
- C80 and 10
- D24 and 10
Explanation
Workers in 20-40 = 80 - 26 = 54. Class 40-50 frequency = 90 - 80 = 10. Option 24 uses 80 - 56 which only covers 30-40. Option 80 ignores subtracting the lower cumulative figure.
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