CA Foundation · Quantitative Aptitude · Statistical Description of Data
A distribution of 80 delivery times has a class 20–30 with frequency 28. What are the relative frequency of this class as a percentage, and the central angle if shown in a pie chart?
The relative frequency is 35% and the pie chart angle is 126 degrees. Divide the class frequency 28 by the total 80 to get 0.35, then multiply 0.35 by 360 to get the central angle of 126 degrees.
- A28%, 100.8°
- B35%, 126°Correct
- C35%, 100.8°
- D28%, 126°
Explanation
Relative frequency = 28/80 = 0.35 = 35%. Central angle = 0.35 × 360 = 126°. Using 28% mistakes the frequency for a percentage because the total is 80, not 100.
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