The problem provides data on the hair color of 30 people. The frequencies for Brown, Ginger, and Blonde hair are 15, 7, and 8, respectively. We are asked to: a) Calculate the central angle for each sector in a pie chart representing this data. b) Draw a pie chart to show this information.

1. Problem Description

The problem provides data on the hair color of 30 people. The frequencies for Brown, Ginger, and Blonde hair are 15, 7, and 8, respectively. We are asked to:

a) Calculate the central angle for each sector in a pie chart representing this data.

b) Draw a pie chart to show this information.

2. Solution Steps

a) Calculating Central Angles:

The total number of people is

3

0. A pie chart represents the whole data set (30 people) as a circle, which has 360 degrees. Therefore, each person corresponds to $\frac{360}{30} = 12$ degrees.

* Brown: There are 15 people with brown hair. The central angle for the brown hair sector is $15 \times 12 = 180$ degrees.

* Ginger: There are 7 people with ginger hair. The central angle for the ginger hair sector is $7 \times 12 = 84$ degrees.

* Blonde: There are 8 people with blonde hair. The central angle for the blonde hair sector is $8 \times 12 = 96$ degrees.

b) Drawing the Pie Chart:

To draw the pie chart, use a compass to draw a circle. Then, using a protractor, draw the following sectors:

* Brown: A sector with a central angle of 180 degrees.

* Ginger: A sector with a central angle of 84 degrees.

* Blonde: A sector with a central angle of 96 degrees.

Ensure to label each sector clearly with the hair color it represents. Note that 180 + 84 + 96 =

3

6

0.

3. Final Answer

a) The central angles are:

Brown: 180 degrees

Ginger: 84 degrees

Blonde: 96 degrees

b) (Description) A pie chart with sectors representing Brown (180 degrees), Ginger (84 degrees), and Blonde (96 degrees). (A drawing cannot be provided in this text format).