The table shows the favorite subjects of students in a class. The frequencies are: Maths: 4, Science: 8, English: 3. a) We need to find the fraction of students who said Science. b) If this information was shown on a pie chart, we need to find the central angle for the Science section.

1. Problem Description

The table shows the favorite subjects of students in a class.

The frequencies are: Maths: 4, Science: 8, English:

3. a) We need to find the fraction of students who said Science.

b) If this information was shown on a pie chart, we need to find the central angle for the Science section.

2. Solution Steps

a) To find the fraction of students who chose Science, we need to divide the number of students who chose Science by the total number of students.

First, find the total number of students:

$Total = Maths + Science + English = 4 + 8 + 3 = 15$

The number of students who chose Science is

8. The fraction of students who chose Science is:

$Fraction = \frac{Science}{Total} = \frac{8}{15}$

Since 8 and 15 have no common factors other than 1, the fraction is already in simplest form.

b) To find the central angle for the Science section on a pie chart, we need to multiply the fraction of students who chose Science by 360 degrees.

$Angle = Fraction \times 360^{\circ} = \frac{8}{15} \times 360^{\circ}$

$Angle = \frac{8 \times 360}{15} = \frac{2880}{15} = 192^{\circ}$

3. Final Answer

a) $\frac{8}{15}$

b) $192$ degrees