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 DE 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 DE 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 3E
Related questions
Question
Answer in Huntington-hill method
Transcribed Image Text:HUNTINTON-HILL'S METHOD
Problem Set
Region Populati PUI and Quota
PUI (in
on
percenta
ge)
A
B
C
D
E
Total
56,056
10%
84,076 15%
112,101 20%
168,152 30%
140,127 25%
560,506 100%
Sample Problem (As a guide to answer prob set)
1. Calculate the standard quota
2.
Determine the geometric mean (rounded to 2 decimal
places) of each sub-group lower's quota and upper quota
a. If the standard quota is less than the geometric
mean, round the quota down
b.
If the standard quota is greater than or equal to
the geometric mean, round the quota up
3.
If the sum of rounded standard quotas equals the number
of representatives, you are done. Otherwise, choose a
modifies standard divisor and calculate the modified
quotas and rounded modified quotas. Repeat process
until the required number is achieved.
SAMPLE PROBLEM
Step 1. Compute the Standard Divisor
total population
Step 2. Compute the Standard Quota or Quota per state (SQ)
Step 3. Compute the SQU
Step 4: Compute the SQL
Step 5: Compute the Geometric Mean (GM)
= √(SQUXSQL)
Step 6: Compare the Standard Quota and Geometric Mean and
get its summation
greater
If the SQ is greater than the Geometric Mean therefore
the SQU will be used.
If the SQ is less than the Geometric Mean therefore the
SQL will be used
Step 7: Compare the total number of objects to the
summation in Step 6, if it is the same then it is done. If not,
MSD is needed
O
O
GM
SQU
(Standar (Geomet
d Quota
Upper)
The basis of MSD is by using the Webster's Method
If the summation is greater than the total number to
apportion
O
MSD should be greater than SD, otherwise MSD
<SD
Step 8: Repeat starting from Step 3, until the summation of
the given comparison and the total number of objects to 7
apportion is the same
Sum of comparison
greater than
Step 9: Decision
less than
9
Barangay Population
Zone 1
Zone 2
Zone 3
Zone 4
Total
ric
Mean)
√(SQU) (SQL)
•
55 licensed health workers plan to render their health services for
free here in the zone of the City of Miami during this
pandemic period. How many licensed health workers will be
assigned to each one?
Barangays
●
●
Zone 1
Zone 2
Zone 3
Zone 4
SQL
(Standar
d Quota
Lower)
Quota
Population (data from
2015 census)
SQU
10,019 27.9491 28
1,258 3.5093 4
5,168 14.4167 15
3,271 9.1248 10
19,716
10,019
1,258
5,168
3,271
SQL
27
3
14
9
No. of
Test kits
by
GM
Huntingt
on-Hill
plan
Standard Divisor = 358.4727
SQU (Standard Quota Upper)
round up
• SQL (Standard Quota Lower) - values in the Quota
round down
27.4955
3.4641
14.4914
9.4868
Number of Health
Workers by
Huntington-Hill Plan
28
4
14
9
55
values in the Quota
TEE
Since our answer is equals to 55 therefore our work is
done. If ever the answer isn't equal to the required total.
number of representatives, modify the divisor, and repeat
the process until we achieved the desired number.
GM (Geometric Mean) = √(SQU) (SQL)
Note: In the Huntington-Hill Method (last column) if the
Quota > GM round up otherwise round down
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%
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