There are five Voting Districts in the City; District A with 877 constituents, District B with 1062 constituents, District C with 1364 constituents, District D with 1518 constituents, and District E with 1933 constituents. There are 14 available on the local School Board. Use Huntington-Hill's Method to find how many board members will be for the What is the Standard Divisor for Huntington-Hill's Method? respective districts. How many board members will be given to District A? How many board members will be given to District B?How many board members will be given to District C? How many board members will be given to District D?How many board members will be given to District E?
What part of this don't you understand?
like how to start it off and find the different districts. I first added them all up so that I can divide by something . But I'm not sure what other answer I'm diving by
To apply Huntington-Hill's method, we first need to calculate the standard divisor.
The standard divisor is found by taking the geometric mean of the lower and upper quotas. The lower quota is the number of constituents needed to have one board member, and the upper quota is the number of constituents needed to have the total number of available board members.
Here's how you can calculate the standard divisor:
Step 1: Determine the lower and upper quotas
The lower quota is found by dividing the total number of constituents in each district by the total number of board members available. The upper quota is found by dividing the total number of constituents in all districts by the total number of board members available.
Lower Quota = Total Constituents in District / Total Board Members
Upper Quota = Total Constituents in All Districts / Total Board Members
For example, let's calculate the lower and upper quotas for District A:
Lower Quota for District A = 877 / 14 = 62.6429
Upper Quota = (877 + 1062 + 1364 + 1518 + 1933) / 14 = 557.2143
Step 2: Find the geometric mean
To find the geometric mean, multiply the lower quota and upper quota and then take the square root.
Standard Divisor = √(Lower Quota * Upper Quota)
For District A:
Standard Divisor = √(62.6429 * 557.2143) = 145.8176
Now that we have the standard divisor, we can use it to determine the number of board members allocated to each district.
Number of board members for each district is found by dividing the constituents in each district by the standard divisor, rounded to the nearest whole number.
For District A:
Number of board members = Constituents in District A / Standard Divisor
= 877 / 145.8176
≈ 6.01 (rounded to the nearest whole number)
Therefore, District A will have 6 board members.
Following the same steps, you can calculate the number of board members for Districts B, C, D, and E:
For District B:
Number of board members = 1062 / 145.8176
≈ 7.28 (rounded to the nearest whole number)
Therefore, District B will have 7 board members.
For District C:
Number of board members = 1364 / 145.8176
≈ 9.35 (rounded to the nearest whole number)
Therefore, District C will have 9 board members.
For District D:
Number of board members = 1518 / 145.8176
≈ 10.40 (rounded to the nearest whole number)
Therefore, District D will have 10 board members.
For District E:
Number of board members = 1933 / 145.8176
≈ 13.25 (rounded to the nearest whole number)
Therefore, District E will have 13 board members.