The problem provides a table with the frequency of different meals ordered at a restaurant. We are asked to find the central angle (in degrees) that the "curry" section would represent if this information were displayed on a pie chart.

1. Problem Description

The problem provides a table with the frequency of different meals ordered at a restaurant. We are asked to find the central angle (in degrees) that the "curry" section would represent if this information were displayed on a pie chart.

2. Solution Steps

First, we need to find the total number of meals ordered. This is the sum of the frequencies of each meal.

$Total = 11 + 12 + 7 = 30$

Next, we calculate the fraction of meals that were "curry". This is the frequency of "curry" divided by the total number of meals.

$Fraction_{curry} = \frac{12}{30}$

Now, we need to convert this fraction into degrees. A full pie chart represents 360 degrees. Therefore, we multiply the fraction of "curry" meals by 360 degrees to find the central angle for the "curry" section.

$Angle_{curry} = \frac{12}{30} \times 360$

$Angle_{curry} = \frac{12 \times 360}{30}$

$Angle_{curry} = \frac{4320}{30}$

$Angle_{curry} = 144$ degrees

3. Final Answer

The central angle that represents curry should be 144 degrees.