The national government procured a total of 1550 test kits for the five regions in the country. If the distribution will be solely based on the total number of PUIS and PUMS combined in the region. How many test kits will each region receive? Assume that the total population of the five regions is 560,506. Regions A B C D E PUIS and PUMs Population (by percent) 10% 15% 20% 30% 25%
The national government procured a total of 1550 test kits for the five regions in the country. If the distribution will be solely based on the total number of PUIS and PUMS combined in the region. How many test kits will each region receive? Assume that the total population of the five regions is 560,506. Regions A B C D E PUIS and PUMs Population (by percent) 10% 15% 20% 30% 25%
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
Related questions
Question
Try this in Webster's Method. Standard Deviation is 361.6168. Take a look at the notes attach for easy guidance. Thanks! And have a great day
![WEBSTER'S METHOD
Problem Set
Region
A
B
C
D
E
Total
Population
56,051
84,076
112,101
168,152
140,127
560,506
O
o
PUI and PUI Quota
(in
percentage)
STEPS
10%
Sample Problem (As a guide to answer prob set)
15%
20%
30%
25%
100%
1. Determine how many people each representative should
represent.
o Do this by dividing the total population of all
stated by the total number of representatives
o Answer is called the standard divisor or divisor
2. Divide each state's population by the divisor to determine
how many representative it should have
Record answer to several decimal places
Answer is called the standard quota or quota
3. Round all the Quotas to the nearest whole number (but
don't forget what the decimals were)
O Add the values, which can be called initial
allocation or initial apportionment
4. If the total from Step 3 is less than the total number of
representatives, reduce the standard divisor and
recalculate the quota and allocation. If it is larger, then
increase the divisor and recalculate the quota and
allocation. Continue doing this until we meet the desired
total number of allocation needed.
SAMPLE PROBLEM
Step 1. Compute the Standard Divisor
Step 2. Compute the Standard Quota or Quota per state (SQ)
Step 3. Compute the Standard Quota Round Off (SQRO) value
and its summation
Step 4: If the total of the SQRO is the same then it is done. If not,
the Standard Divisor is incorrect and there should be a Modified
Standard Divisor (MSD)
O If the SQRD is greater than the total number to apportion
o MSD should be greater than SD, otherwise MSD
<SD
Step 5: Compute the Standard Quota (with MSD)
Step 6: Compute the Standard Quota Round Off (SQRO)
value and its summation
Step 7: If the total of the SQRO is the same then it is done
and the MSD is correct. If not then change the MSD again
Step 8: Decision
Provinces
(
2
3
4
S
Total:
Team Us is planning to conduct a region-wide medical mission.
Sixty three doctors pledged to be part of it. If the number of doctors
that will be assigned to each province is based on their population,
how many doctors will be assigned to each province?
●
SQ (RO)
(Standard
Quota
Round off)
Provinces
2,884,000
3,035,000
14,414,000
1
2
3
4
f
Population (2015 data")
3,678,000
2,694,000
2,123,000
Quota
16.0756
11.7748
No. of Test
kits by
Webster's
plan
9.2791
12.6052
13.2652
Population
(2015 data*)
3,678,000
2,694,000
2,123,000
2,884,000
3,035,000
SQ (RO)
16
12
9
13
13
63
Number of Doctors
by Webster's Plan
16
12
9
13
13
Find the standard divisor 14,414,000/63=228,793.6508
Since the sum of the SQ(RO) is the same as the number
of people to apportion, then we are done](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d6bf910-0946-4d6f-b33c-3b84916b5b30%2F36140d9a-86ba-42e5-8530-48570054782b%2Fees7zpd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:WEBSTER'S METHOD
Problem Set
Region
A
B
C
D
E
Total
Population
56,051
84,076
112,101
168,152
140,127
560,506
O
o
PUI and PUI Quota
(in
percentage)
STEPS
10%
Sample Problem (As a guide to answer prob set)
15%
20%
30%
25%
100%
1. Determine how many people each representative should
represent.
o Do this by dividing the total population of all
stated by the total number of representatives
o Answer is called the standard divisor or divisor
2. Divide each state's population by the divisor to determine
how many representative it should have
Record answer to several decimal places
Answer is called the standard quota or quota
3. Round all the Quotas to the nearest whole number (but
don't forget what the decimals were)
O Add the values, which can be called initial
allocation or initial apportionment
4. If the total from Step 3 is less than the total number of
representatives, reduce the standard divisor and
recalculate the quota and allocation. If it is larger, then
increase the divisor and recalculate the quota and
allocation. Continue doing this until we meet the desired
total number of allocation needed.
SAMPLE PROBLEM
Step 1. Compute the Standard Divisor
Step 2. Compute the Standard Quota or Quota per state (SQ)
Step 3. Compute the Standard Quota Round Off (SQRO) value
and its summation
Step 4: If the total of the SQRO is the same then it is done. If not,
the Standard Divisor is incorrect and there should be a Modified
Standard Divisor (MSD)
O If the SQRD is greater than the total number to apportion
o MSD should be greater than SD, otherwise MSD
<SD
Step 5: Compute the Standard Quota (with MSD)
Step 6: Compute the Standard Quota Round Off (SQRO)
value and its summation
Step 7: If the total of the SQRO is the same then it is done
and the MSD is correct. If not then change the MSD again
Step 8: Decision
Provinces
(
2
3
4
S
Total:
Team Us is planning to conduct a region-wide medical mission.
Sixty three doctors pledged to be part of it. If the number of doctors
that will be assigned to each province is based on their population,
how many doctors will be assigned to each province?
●
SQ (RO)
(Standard
Quota
Round off)
Provinces
2,884,000
3,035,000
14,414,000
1
2
3
4
f
Population (2015 data")
3,678,000
2,694,000
2,123,000
Quota
16.0756
11.7748
No. of Test
kits by
Webster's
plan
9.2791
12.6052
13.2652
Population
(2015 data*)
3,678,000
2,694,000
2,123,000
2,884,000
3,035,000
SQ (RO)
16
12
9
13
13
63
Number of Doctors
by Webster's Plan
16
12
9
13
13
Find the standard divisor 14,414,000/63=228,793.6508
Since the sum of the SQ(RO) is the same as the number
of people to apportion, then we are done
![The national government procured a total of 1550 test kits for the five
regions in the country. If the distribution will be solely based on the
total number of PUIs and PUMS combined in the region. How many
test kits will each region receive? Assume that the total population of
the five regions is 560,506.
Regions
A
B
CDE
PUIs and PUMS Population (by
percent)
10%
15%
20%
30%
25%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d6bf910-0946-4d6f-b33c-3b84916b5b30%2F36140d9a-86ba-42e5-8530-48570054782b%2F0rh3gwq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The national government procured a total of 1550 test kits for the five
regions in the country. If the distribution will be solely based on the
total number of PUIs and PUMS combined in the region. How many
test kits will each region receive? Assume that the total population of
the five regions is 560,506.
Regions
A
B
CDE
PUIs and PUMS Population (by
percent)
10%
15%
20%
30%
25%
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning