https://file.aiquickdraw.com/mathbot/file/17274569291680a96n9zv.jpg

Let's break down the problem:

1. **State A** has:
   - Population: 23,250
   - Representatives: 15
   - Average constituency = \( \frac{23,250}{15} = 1,550 \)

2. **State B** has:
   - Population: 22,750
   - Representatives: 14
   - Average constituency = \( \frac{22,750}{14} = 1,625 \)

### Questions:
1. **Which state is more poorly represented?**
   - Since a higher average constituency means less representation per person, **State B** is more poorly represented with an average constituency of **1,625** compared to **1,550** for State A.

2. **Absolute unfairness**:
   - Absolute unfairness = Difference between the average constituencies.
   - \( 1,625 - 1,550 = 75 \)

3. **Relative unfairness**:
   - Relative unfairness = \( \frac{\text{Absolute unfairness}}{\text{Smaller average constituency}} \times 100 \)
   - \( \frac{75}{1,550} \times 100 = 4.839 \% \)

So, the relative unfairness is **4.839%**, rounded to three decimal places.

Would you like further clarification or more details on any of these steps?

### Related Questions:
1. How does population size affect representation fairness?
2. What other methods can be used to ensure fair representation?
3. Why is State B considered more poorly represented in this case?
4. Can the relative unfairness be higher than 100%?
5. How do changes in population affect representation calculations?

**Tip**: Absolute unfairness measures the raw difference, while relative unfairness compares it proportionally to the representation size.

State A has a population of 23,250 and has 15 representatives. State B has a population of 22,750 and has 14 representatives. Which state is more poorly represented? What is the absolute unfairness of this apportionment? What is the relative unfairness of this apportionment?

Solve an apportionment problem comparing State A (population 23,250, 15 representatives) and State B (population 22,750, 14 representatives). Learn how to calculate absolute unfairness and relative unfairness based on average constituencies.

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