### Educational Website Content: Pairwise Comparison (Copeland's Method) #### Problem StatementBelow is an example of an election using the Pairwise Comparison method (Copeland's Method). **Voter Preferences:**| Number of Voters | 10 | 14 | 11 | 15 ||------------------|-----|-----|-----|-----|| **1st Choice** | B | D | C | A || **2nd Choice** | C | B | D | C || **3rd Choice** | A | A | B | D || **4th Choice** | D | C | A | B |Participants need to determine the following:1. **Number of points Candidate D receives under Pairwise Comparison (Copeland's Method):** - **Input Box:** Points = [______] - _(Note: This is a user-input field, where students input the number of points.)_2. **Winner of the election under Pairwise Comparison (Copeland's Method):** - **Dropdown Box:** Winner = [ C ] - _(Note: The correct answer is preselected as 'C'.)_#### Additional Resources:- **Question Help:** - [Video](#) _(Link to instructional video)_ - [Message Instructor](#) _(Option to message the instructor for help)_- **Tools:** - [Calculator](#) _(Link to online calculator)_**Action:**- [Submit Question](#) _(Button for submitting the answer)_#### Detailed Explanation of the Pairwise Comparison (Copeland's Method):1. **Pairwise Comparison:** Each candidate is compared directly with every other candidate. The winner of each comparison is the one preferred by more voters. The candidate who wins the most comparisons earns points. 2. **Understanding the Table:** - **Number of Voters:** Indicates how many voters have the preference order shown in the corresponding column. - **1st to 4th Choice:** Represents the preference rankings for the candidates (A, B, C, and D).3. **Steps to Calculate Points for Candidate D:** - Compare Candidate D with each other candidate (A, B, C). - Tally the number of voters preferring D over

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Number of voters 10 14 11 15 1st choice B. D A 2nd choice D. B D A B 3rd choice A A 4th choice D Find number of points Canlidate D receives under Pairwise Comparison (Copeland's Method) Points = 1 Find the winner of this election under Pairwise Comparison (Copeland's Method) Winner = C Question Help: Video Message instructor Calculator

Number of voters 10 14 11 15 1st choice B. D A 2nd choice D. B D A B 3rd choice A A 4th choice D Find number of points Canlidate D receives under Pairwise Comparison (Copeland's Method) Points = 1 Find the winner of this election under Pairwise Comparison (Copeland's Method) Winner = C Question Help: Video Message instructor Calculator

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter8: Linear Functions

Section: Chapter Questions

Problem 8PSP

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### Educational Website Content: Pairwise Comparison (Copeland's Method)

#### Problem Statement

Below is an example of an election using the Pairwise Comparison method (Copeland's Method).

**Voter Preferences:**

| Number of Voters | 10 | 14 | 11 | 15 |
|------------------|-----|-----|-----|-----|
| **1st Choice** | B | D | C | A |
| **2nd Choice** | C | B | D | C |
| **3rd Choice** | A | A | B | D |
| **4th Choice** | D | C | A | B |

Participants need to determine the following:

1. **Number of points Candidate D receives under Pairwise Comparison (Copeland's Method):**
- **Input Box:** Points = [______]
- _(Note: This is a user-input field, where students input the number of points.)_

2. **Winner of the election under Pairwise Comparison (Copeland's Method):**
- **Dropdown Box:** Winner = [ C ]
- _(Note: The correct answer is preselected as 'C'.)_

#### Additional Resources:
- **Question Help:**
- [Video](#) _(Link to instructional video)_
- [Message Instructor](#) _(Option to message the instructor for help)_
- **Tools:**
- [Calculator](#) _(Link to online calculator)_

**Action:**
- [Submit Question](#) _(Button for submitting the answer)_

#### Detailed Explanation of the Pairwise Comparison (Copeland's Method):

1. **Pairwise Comparison:**
Each candidate is compared directly with every other candidate. The winner of each comparison is the one preferred by more voters. The candidate who wins the most comparisons earns points.

2. **Understanding the Table:**
- **Number of Voters:** Indicates how many voters have the preference order shown in the corresponding column.
- **1st to 4th Choice:** Represents the preference rankings for the candidates (A, B, C, and D).

3. **Steps to Calculate Points for Candidate D:**
- Compare Candidate D with each other candidate (A, B, C).
- Tally the number of voters preferring D over

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