The problem provides a table showing the frequency of meal orders at a restaurant: Curry (29), Pizza (3), and Salad (8). We are asked to find the central angle in degrees that the "Salad" section would represent in a pie chart.

Probability and StatisticsPie ChartsData AnalysisFractionsPercentages
2025/4/21

1. Problem Description

The problem provides a table showing the frequency of meal orders at a restaurant: Curry (29), Pizza (3), and Salad (8). We are asked to find the central angle in degrees that the "Salad" section would represent in a pie chart.

2. Solution Steps

First, we need to find the total number of meals ordered.
Total=Curry+Pizza+Salad=29+3+8=40Total = Curry + Pizza + Salad = 29 + 3 + 8 = 40
Next, we need to find the fraction of the total that the "Salad" orders represent.
FractionSalad=SaladTotal=840=15Fraction_{Salad} = \frac{Salad}{Total} = \frac{8}{40} = \frac{1}{5}
Since a pie chart represents the whole data with a circle of 360360 degrees, we can find the central angle for the "Salad" section by multiplying the fraction of "Salad" orders by 360360 degrees.
AngleSalad=FractionSalad×360=15×360=72Angle_{Salad} = Fraction_{Salad} \times 360 = \frac{1}{5} \times 360 = 72

3. Final Answer

The central angle of the section that represents salad should be 72 degrees.

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