2.2 Interpreting Data

Complete the following table and represent the following data in a pie chart. You will need a protractor.

Take-away |
Freq. |
Sector Angle |
% of Total |

Indian | 25 | ||

Chinese | 10 | ||

Fish and Chips | 10 | ||

Other | 5 | ||

Total |
50 |

Example Calculation – Indian Take-Away

$$\begin{array}{c}\begin{array}{c}\begin{array}{lll}\hfill \text{SectorAngle}& \text{=}\hfill & \frac{\text{25}}{\text{50}}\times 360\xb0\hfill \\ \hfill & =\hfill & 180\xb0\hfill \end{array}\end{array}\end{array}$$
,
Percentage
=
25
50
× 100 %
=
50 %

## Pie Chart Calculations

Sector Angle

$$\text{SectorAngle=}\frac{value}{total}\times 360\xb0$$Percentage

$$\text{Percentage=}\frac{\text{value}}{\text{total}}\times 100\%$$