The following table shows the number of different fruits kept in a carton:…
2024
The following table shows the number of different fruits kept in a carton:
Type of fruits | Mangoes | Apples | Oranges | Guavas | Pomegranates |
|---|---|---|---|---|---|
Number | 44 | 56 | 42 | 30 | 38 |
If a pie chart is constructed for the above data, what will be the angle of the sector representing apples?
- A.
79.2°
- B.
72°
- C.
96°
- D.
100.8°
Show answer & explanation
Correct answer: C
In a pie chart, the sector angle for any category equals (frequency of that category ÷ total frequency) × 360°, because the full circle (360°) is divided among categories in proportion to their share of the total data.
Add all five entries in the table to find the total number of fruits: 44 + 56 + 42 + 30 + 38 = 210.
Apples are recorded as 56 out of this total of 210.
Apply the sector-angle formula: (56 ÷ 210) × 360°.
Computing this gives (56 ÷ 210) × 360° = 96°.
As a check, simplify 56/210 first by dividing both terms by their common factor 14, giving 4/15. Then 4/15 × 360° = 96°, the same result — confirming the answer by an independent route.
So the sector representing apples spans 96°.