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The image is about a diagnostic assessment on the topic "The Mathematics of Voting." It features a graph and two headlines followed by a set of voting results for a student body president election.

### Key Points:
1. **Voting Results Table:**
   - Five candidates (A, B, C, D, E) are listed with their respective first-place votes:
     - Candidate A: 80 votes
     - Candidate B: 98 votes
     - Candidate C: 94 votes
     - Candidate D: 76 votes
     - Candidate E: 102 votes
   - Total votes: \( 80 + 98 + 94 + 76 + 102 = 450 \).

2. **Analysis of the Results:**
   - None of the candidates have a majority (more than 50% of the votes), which would be over 225 votes.
   - Candidate E has the most votes but does not reach a majority, hence E wins by plurality. In elections with three or more candidates, the plurality winner is the one with the most votes but not necessarily a majority.

3. **Instructions Moving Forward:**
   - The text suggests analyzing the situation as if voters ranked candidates from first to fifth choice, which could imply a transition to a ranked-choice voting analysis or similar voting system.

### Follow-up Questions:
1. What does the graph at the top represent, and how is it relevant to the mathematics of voting?
2. How does plurality differ from majority voting, and what implications does this have for election results?
3. What is ranked-choice voting, and how could it change the outcome of this election?
4. What are the pros and cons of using a plurality voting system compared to other voting systems?
5. How would the results change if a majority or runoff voting system were implemented?

### Tip:
When analyzing election results, consider both the number of votes each candidate receives and the type of voting system used, as it significantly impacts the election outcome.

What do you notice from the election results for student body president?

In this example, a student election with five candidates demonstrates the concept of plurality voting. None of the candidates have a majority, so the winner is determined by the highest vote count. Explore key mathematical concepts related to voting systems, such as plurality and majority voting. Suitable for students in Grades 9-12.

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