CMA Foundation · Fundamentals of Business Mathematics and Statistics · Statistical Representation of Data
Sales of a firm are Rs 120 lakh in Region A, Rs 90 lakh in Region B, Rs 60 lakh in Region C and Rs 30 lakh in Region D. If these are shown in a pie chart, what is the central angle for Region B?
The central angle for Region B is 108 degrees. Total sales are Rs 300 lakh, Region B contributes 90 lakh, which is 30 percent of the total, and 30 percent of 360 degrees equals 108 degrees.
- A60 degrees
- B90 degrees
- C108 degreesCorrect
- D120 degrees
Explanation
Total = 120+90+60+30 = Rs 300 lakh. Angle for B = 90/300 x 360 = 108 degrees. 90 degrees is wrong because it uses the sales figure itself as the angle.
Did you get it right without looking?
One question tells you little. A timed set on Statistical Representation of Data shows your real accuracy, how long you take and where you lose marks.
More Statistical Representation of Data questions
- A frequency distribution has the inclusive classes 10-19, 20-29, 30-39 and 40-49. What are the true (exact) class limits of the class 30-39 …
- A bank branch records the monthly salaries (in rupees thousands) of 40 employees. The minimum is 18 and the maximum is 78. The manager wants…
- 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…
- A 'less than' ogive for 80 workers' daily wages (in rupees hundreds) passes through the points (4, 0), (8, 10), (12, 30), (16, 60), (20, 80)…
- 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…
- In a pie chart showing the monthly expenditure of Mr. Sharma's household, the amount spent on rent is ₹12,000 out of a total expenditure of …