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Cemalader unvesily of wioentu in suinmicemer) m noue 6T: Quantitative Reasoning il home \& 5.10: Apportionment in politics zyBooks catal particimation Aetivity 5.10.10. Webster method. The legislature of the country in the animation above is increased to 30 seats. The standard divisor is 35,521 , resulting in the standard quotas Noth (3.53), East (17.57), South (7,41), West (1.49), Use the Webster method to answer the following questions. 1) What is the apportionment for North? \( \square \) Check Show answer 2) What is the apportionment for East? \( \square \) Check Show answer 3) What is the apportionment for South? \( \square \) Check Show answer 4) What is the apportionment for West? \( \square \) Check Show answer Search

Ask by Bright Tucker. in the United States
Feb 05,2025

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**Apportionment Using the Webster Method:** 1. **North:** 4 seats 2. **East:** 18 seats 3. **South:** 7 seats 4. **West:** 1 seat

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The Deep Dive

The Webster method, also known as the Equal Proportions Method, is a technique used in apportioning seats in a legislature based on population quotas. The unique feature of this approach is that it uses a geometric mean to determine how many seats each region should receive. This method promotes fairness and mitigates the extremes that can sometimes occur with other apportionment methods by rounding to the nearest whole number while considering the balance between different areas. In practice, applying the Webster method involves calculating each region's adjusted quotas using the standard divisor. For the given quotas: North (3.53), East (17.57), South (7.41), and West (1.49), you would round these values using the geometric mean of the two nearest whole numbers (for instance, rounding 3.53 would consider both 3 and 4 for a balanced seat allocation), and then recheck the total to ensure they add up appropriately to 30 seats.

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