The problem provides a table with the frequency of meals ordered at a restaurant. The meals are Curry, Pizza, and Salad, with frequencies 29, 3, and 8, respectively. The question asks for the central angle in degrees that represents Salad if the data were shown on a pie chart.

Probability and StatisticsData AnalysisPie ChartsFractionsPercentages
2025/4/21

1. Problem Description

The problem provides a table with the frequency of meals ordered at a restaurant. The meals are Curry, Pizza, and Salad, with frequencies 29, 3, and 8, respectively. The question asks for the central angle in degrees that represents Salad if the data were shown on a pie chart.

2. Solution Steps

First, find the total number of meals ordered.
Total=Curry+Pizza+Salad=29+3+8=40Total = Curry + Pizza + Salad = 29 + 3 + 8 = 40
Next, calculate the fraction of meals that are Salad.
SaladFraction=SaladTotal=840=15Salad Fraction = \frac{Salad}{Total} = \frac{8}{40} = \frac{1}{5}
Finally, calculate the central angle for Salad in the pie chart. A full circle has 360 degrees. So, we multiply the salad fraction by 360 degrees.
SaladAngle=SaladFraction360=15360=72Salad Angle = Salad Fraction * 360 = \frac{1}{5} * 360 = 72

3. Final Answer

The central angle that represents salad should be 72 degrees.

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