https://file.aiquickdraw.com/mathbot/file/1727282737091x17xdodl.jpg

The image contains a bar graph that shows the number of freshmen participating in different sports (Soccer, Football, Tennis, and Volleyball), along with two questions:

**a. How can the bars add to more than 20, yet still be correct?**
- The bars may add up to more than 20 because some students may be participating in multiple sports. For instance, if a freshman plays both Soccer and Volleyball, they would be counted in both bars. Therefore, the total number of students across all bars might exceed the total number of unique students.

**b. Is it appropriate to display this data using a pie chart?**
- No, it is not appropriate to display this data using a pie chart. A pie chart is used to represent parts of a whole, typically showing percentages that sum to 100%. In this case, the data represents the number of students participating in each sport, and since some students might participate in more than one sport, the totals are not mutually exclusive, making a bar graph a better choice.

Let me know if you need further details or have any questions!

### Related Questions:
1. How would the graph change if each student only participated in one sport?
2. Could this data be effectively represented with a Venn diagram?
3. How would you calculate the percentage of students participating in Soccer?
4. What type of graph could show the number of students participating in two or more sports?
5. What does it mean when data "overlaps" in a graph?

### Tip: 
When displaying data with potential overlaps (like students participating in multiple sports), bar graphs or Venn diagrams are typically better than pie charts, which are best for mutually exclusive categories.

How can the bars add to more than 20, yet still be correct? Is it appropriate to display this data using a pie chart?

Explore how a bar graph can show more than 20 total students due to overlapping categories, such as students participating in multiple sports. Learn why a pie chart is not appropriate for this data type. Ideal for Grades 6-8.

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