The problem provides a table showing the frequency of meals ordered at a restaurant: Sandwich (11), Curry (12), and Salad (7). We need to calculate the central angle (in degrees) that the "Curry" section would occupy if this data were represented on a pie chart.

1. Problem Description

The problem provides a table showing the frequency of meals ordered at a restaurant: Sandwich (11), Curry (12), and Salad (7). We need to calculate the central angle (in degrees) that the "Curry" section would occupy if this data were represented on a pie chart.

2. Solution Steps

First, we need to find the total number of meals ordered.

Total meals = Sandwich + Curry + Salad = $11 + 12 + 7 = 30$

Next, we calculate the fraction of meals that are Curry.

Fraction of Curry = $\frac{\text{Frequency of Curry}}{\text{Total meals}} = \frac{12}{30}$

Now, we can find the angle corresponding to the Curry section in the pie chart. A full pie chart has 360 degrees.

Angle of Curry = Fraction of Curry * 360 degrees

Angle of Curry = $\frac{12}{30} \times 360$

Angle of Curry = $\frac{12 \times 360}{30} = \frac{4320}{30} = 144$

3. Final Answer

The central angle of the section that represents curry should be 144 degrees.