To complete the table and draw a pie chart, we need to calculate the angle for each holiday destination based on the frequencies provided. Here is a detailed step-by-step solution:
1. Understand the Problem: We have a total of 60 people surveyed, and we need to convert the number of people who visited each destination into angles for a pie chart. The pie chart needs to start from the top (12 o'clock position) and we will move clockwise.
2. Determine the Angles:
- We calculate the angle for each destination using the formula:
[tex]\[
\text{Angle} = \left(\frac{\text{Frequency}}{\text{Total People}}\right) \times 360
\][/tex]
3. Calculate Each Angle:
- For France:
[tex]\[
\text{Angle} = \left(\frac{25}{60}\right) \times 360 = 150.0^\circ
\][/tex]
- For Spain:
[tex]\[
\text{Angle} = \left(\frac{18}{60}\right) \times 360 = 108.0^\circ
\][/tex]
- For Greece:
[tex]\[
\text{Angle} = \left(\frac{15}{60}\right) \times 360 = 90.0^\circ
\][/tex]
- For Other:
[tex]\[
\text{Angle} = \left(\frac{2}{60}\right) \times 360 = 12.0^\circ
\][/tex]
4. Complete the Table:
[tex]\[
\begin{array}{|c|c|c|}
\hline
\text{Holiday destinations} & \text{Frequency} & \text{Angle in } { }^{\circ} \\
\hline
\text{France} & 25 & 150.0^\circ \\
\hline
\text{Spain} & 18 & 108.0^\circ \\
\hline
\text{Greece} & 15 & 90.0^\circ \\
\hline
\text{Other} & 2 & 12.0^\circ \\
\hline
\end{array}
\][/tex]
5. Draw the Pie Chart:
- Begin at the top (12 o'clock position).
- Draw the first slice for France which is 150.0°.
- Continue from the end of the France slice, draw the next slice for Spain which is 108.0°.
- From the end of the Spain slice, draw the slice for Greece which is 90.0°.
- Finally, draw the last slice for Other which is 12.0°.
Each section of the pie chart should be labeled with the corresponding destination and its frequency.
By completing these steps, you will have a complete table and a pie chart that visually represents the holiday destination preferences of the 60 people surveyed.
