Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Sure, let’s complete the table by calculating the angles for each holiday destination and then proceed to draw the pie chart.
### Steps to Complete the Table:
1. Calculate the Total Frequency:
The total number of people is already given as 60.
2. Calculate the Angle for Each Destination:
- France:
[tex]\[ \text{Angle} = \left(\frac{\text{Frequency of France}}{\text{Total Frequency}}\right) \times 360 = \left(\frac{24}{60}\right) \times 360 = \frac{24 \times 360}{60} = 144^\circ \][/tex]
- Spain:
[tex]\[ \text{Angle} = \left(\frac{\text{Frequency of Spain}}{\text{Total Frequency}}\right) \times 360 = \left(\frac{20}{60}\right) \times 360 = \frac{20 \times 360}{60} = 120^\circ \][/tex]
- Greece:
[tex]\[ \text{Angle} = \left(\frac{\text{Frequency of Greece}}{\text{Total Frequency}}\right) \times 360 = \left(\frac{10}{60}\right) \times 360 = \frac{10 \times 360}{60} = 60^\circ \][/tex]
- Other:
[tex]\[ \text{Angle} = \left(\frac{\text{Frequency of Other}}{\text{Total Frequency}}\right) \times 360 = \left(\frac{6}{60}\right) \times 360 = \frac{6 \times 360}{60} = 36^\circ \][/tex]
### Completed Table:
[tex]\[ \begin{array}{|c|c|c|} \hline \text{Holiday destinations} & \text{Frequency} & \text{Angle in } ^{\circ} \\ \hline \text{France} & 24 & 144^\circ \\ \hline \text{Spain} & 20 & 120^\circ \\ \hline \text{Greece} & 10 & 60^\circ \\ \hline \text{Other} & 6 & 36^\circ \\ \hline \end{array} \][/tex]
### Drawing the Pie Chart:
1. Draw a circle: Using a compass or a round object.
2. Draw a starting line: This line will serve as the starting point (reference point or the line from the center to the circumference).
3. Angle Measurements:
- Draw the first sector representing France with a [tex]\(144^\circ\)[/tex] angle in a clockwise direction.
- From the endpoint of the France sector, draw the next sector representing Spain with a [tex]\(120^\circ\)[/tex] angle.
- From the endpoint of the Spain sector, draw the Greece sector with a [tex]\(60^\circ\)[/tex] angle.
- The remaining sector represents 'Other' with a [tex]\(36^\circ\)[/tex] angle.
4. Label the Sectors: Label each sector with the corresponding destination and frequency.
### Visualization:
It would be best visualized with actual drawing tools or a software tool to plot it accurately. The angles should look something like:
- France: [tex]\(144^\circ\)[/tex] (largest sector)
- Spain: [tex]\(120^\circ\)[/tex] (second largest sector)
- Greece: [tex]\(60^\circ\)[/tex] (third largest sector)
- Other: [tex]\(36^\circ\)[/tex] (smallest sector)
Remember to keep the sectors neatly organized from the starting point, and make sure the sum of the angles equals [tex]\(360^\circ\)[/tex] in your pie chart.
This pie chart gives a clear visual representation of the different holiday destinations among the given people.
### Steps to Complete the Table:
1. Calculate the Total Frequency:
The total number of people is already given as 60.
2. Calculate the Angle for Each Destination:
- France:
[tex]\[ \text{Angle} = \left(\frac{\text{Frequency of France}}{\text{Total Frequency}}\right) \times 360 = \left(\frac{24}{60}\right) \times 360 = \frac{24 \times 360}{60} = 144^\circ \][/tex]
- Spain:
[tex]\[ \text{Angle} = \left(\frac{\text{Frequency of Spain}}{\text{Total Frequency}}\right) \times 360 = \left(\frac{20}{60}\right) \times 360 = \frac{20 \times 360}{60} = 120^\circ \][/tex]
- Greece:
[tex]\[ \text{Angle} = \left(\frac{\text{Frequency of Greece}}{\text{Total Frequency}}\right) \times 360 = \left(\frac{10}{60}\right) \times 360 = \frac{10 \times 360}{60} = 60^\circ \][/tex]
- Other:
[tex]\[ \text{Angle} = \left(\frac{\text{Frequency of Other}}{\text{Total Frequency}}\right) \times 360 = \left(\frac{6}{60}\right) \times 360 = \frac{6 \times 360}{60} = 36^\circ \][/tex]
### Completed Table:
[tex]\[ \begin{array}{|c|c|c|} \hline \text{Holiday destinations} & \text{Frequency} & \text{Angle in } ^{\circ} \\ \hline \text{France} & 24 & 144^\circ \\ \hline \text{Spain} & 20 & 120^\circ \\ \hline \text{Greece} & 10 & 60^\circ \\ \hline \text{Other} & 6 & 36^\circ \\ \hline \end{array} \][/tex]
### Drawing the Pie Chart:
1. Draw a circle: Using a compass or a round object.
2. Draw a starting line: This line will serve as the starting point (reference point or the line from the center to the circumference).
3. Angle Measurements:
- Draw the first sector representing France with a [tex]\(144^\circ\)[/tex] angle in a clockwise direction.
- From the endpoint of the France sector, draw the next sector representing Spain with a [tex]\(120^\circ\)[/tex] angle.
- From the endpoint of the Spain sector, draw the Greece sector with a [tex]\(60^\circ\)[/tex] angle.
- The remaining sector represents 'Other' with a [tex]\(36^\circ\)[/tex] angle.
4. Label the Sectors: Label each sector with the corresponding destination and frequency.
### Visualization:
It would be best visualized with actual drawing tools or a software tool to plot it accurately. The angles should look something like:
- France: [tex]\(144^\circ\)[/tex] (largest sector)
- Spain: [tex]\(120^\circ\)[/tex] (second largest sector)
- Greece: [tex]\(60^\circ\)[/tex] (third largest sector)
- Other: [tex]\(36^\circ\)[/tex] (smallest sector)
Remember to keep the sectors neatly organized from the starting point, and make sure the sum of the angles equals [tex]\(360^\circ\)[/tex] in your pie chart.
This pie chart gives a clear visual representation of the different holiday destinations among the given people.
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.
