M5.Lesson 1 Check in Activity. MMW PDF

Preview

Summary

Allocate 25 seats for five states whose populations are 12576, 13146, 14105, 13578, and 12986 respectively using1. The Hamilton Method State Population Standard Quota Lower Quota HM A 12,576 4 4 5 B 13,146 4 4 5 C 14,105 5 5 5 D 13,578 5 5 5 E 12,986 4 4 5TOTAL 66,391 22 25SD 2,655.SOLUTION:To get t...

Description

Allocate 25 seats for five states whose populations are 12576, 13146, 14105, 13578, and 12986 respectively using 1. The Hamilton Method State Population A 12,576 B 13,146 C 14,105 D 13,578 E 12,986

Standard Quota 4.73558163 4.950219156 5.31133738 5.112891808 4.889970026

Lower Quota 4 4 5 5 4

TOTAL 66,391 22 SD 2,655.64 SOLUTION: To get the total population: 12,576 + 13,146 + 14, 105 + 13,578 + 12,986 = 66,391

HM 5 5 5 5 5 25

To get the SD, divide the total population to the number of allocate seats given 66,391/25 = 2,655.64 To get the SQ, divide each state of population to standard divisor State A = 12,576/2,655.64 = 4.73558163 State B = 13,146/2,655.64 = 4.950219156 State C = 14,105/2,655.64 = 5.31133738 State D = 13,578/2,655.64 = 5.112891808 State E = 12,986/2,655.64 = 4.889970026 Total = 25 To get Lower Quota, round down the Standard quota State A = 4 State B = 4 State C = 5 State D = 5 State E = 4 Total = 22 To get HM, round up the standard quota State A = 5 State B = 5 State C = 5 State D = 5 State E = 5 Total = 25

2. The Adams Method State

Population

A B C D E

12,576 13,146 14,105 13,578 12,986

TOTAL

66,391

SD MD

2,655.64 2850

D=2850 4.4126 4.6126 4.9491 4.7642 4.5565

Rounded Standard 5 5 5 5 5 25

SOLUTION: To get the Standard Divisor, divide the total population to the number of allocate seats given 66,391/25 = 2,655.64 To get the Modified divisor, increase the standard divisor so that the total value is equal to 25 the best modified divisor that is higher than standard divisor is 2,850 which is equal to 25 To get the fair share (D=2850), divide the population of each state to modified divisor (2850) State A = 12,576/2,850 = 4.4126 State B = 13146/2,850 = 4.6126 State C = 14,105/2,850 = 4.9491 State D =13,578/2,850 = 4.7642 State E =12,986/2,850 = 4.5565 To get the rounded standard, round off the fair share of each state State A = 5 State B = 5 State C = 5 State D = 5 State E = 5 Total = 25

3. The Huntington-Hill Method State Population Standard Quota A 12,576 4.735581 63 B 13,146 4.950219 156 C 14,105 5.311337 38 D 13,578 5.112891 808 E 12,986 4.889970 026

Lower Quota 4

Upper Quota 5

Geometric Mean 4.472135955

Seat Assigned 5

4

5

4.472135955

5

5

6

5.477225575

5

5

6

5.477225575

5

4

5

4.472135955

5

TOTAL 66,391 SD 2,655.64 SOLUTION:

25

To get the Standard Divisor, divide the total population to the number of allocate seats given 66,391/25 = 2,655.64 To get the SQ, divide each state of population to standard divisor State A = 12,576/2,655.64 = 4.73558163 State B = 13,146/2,655.64 = 4.950219156 State C = 14,105/2,655.64 = 5.31133738 State D = 13,578/2,655.64 = 5.112891808 State E = 12,986/2,655.64 = 4.889970026 Total = 25 To get the Geometric mean, calculate the square root of lower quota multiply to upper quota State A = √ 4 x 5 = 4.472135955 State B = √ 4 x 5 = 4.472135955 State C = √ 5 x 6 = 5.477225575 State D = √ 5 x 6 = 5.477225575 State E = √ 4 x 5 = 4.472135955 To get the Seat assigned, round off the geometric mean State A = 5 State B = 5 State C = 5 State D = 5 State E = 5 Total = 25...