Student Activity: Pie Chart Analysis And Interpretation.pdf

## Project Maths Development Team - Pie Chart Student Activity Summary

This activity explores pie charts and their application in representing data on preferred school trip destinations.

1. Most & Least Popular Destination:

Based on the given data, Portugal (17.5%) is the most popular destination, followed by France (28.75%). The least popular appears to be "Other" (22.5%), suggesting a diverse range of preferences beyond the listed countries.

2. Calculating Portugal's Percentage:

Portugal's 17.5% is calculated as follows: Total responses = 10 + 23 + 14 + 15 + 18 = 80. Portugal's share (17.5) is then 17.5/100 360° (total degrees in a circle) = 63°.

3. France's Angle:

France, with 28.75%, corresponds to 28.75/100 360° = 104.25° on the pie chart.

4. Changing Data & Pie Chart Effects (Table A & B):

Changing data from Table A to Table B, where Italy increases to 20%, France to 46%, and "Other" to 36%, significantly alters the pie chart's appearance. The size of each slice reflects the new percentages accurately.

5. Total Percentage:

The total percentage represented in the pie chart is always 100%. Changing individual figures affects the distribution but not the overall sum. A pattern emerges: larger slices for more popular destinations, smaller slices for less popular ones.

6. Pure France Trip Scenario:

If all students preferred France, the pie chart would feature a single large slice (28.75%) and no other countries represented.

7. Introducing Norway:

Introducing Norway without changing preferences will leave the pie chart unchanged as it doesn't affect any existing percentages.

8. Different Surveyed Class:

A class with prior France experience might favor France even more, increasing its percentage slice in the pie chart at the expense of other destinations.

9. Data Collection Question:

A suitable question for gathering this data could be: "Which country would you most like to visit on a school trip?" (with options: Italy, France, Portugal, Spain, Other - Specify).