A total of 25 teacher aides are to be apportioned among seven classes at a new elementary school. The enrollment in each of the seven classes is shown in the following table. Number of Class students Kindergarten 38 First grade 39 Second grade 35 Third grade 27 Fourth grade 21 Fifth grade 31 Sixth grade 33 Total 224 (a) Determine the standard divisor. What is the meaning of the standard divisor in the context of this exercise? There is one aide for every students. (b) Use the Hamilton method to determine the number of teacher aides to be apportioned to each class. Hamilton Class method Kindergarten First grade Second grade Third grade Fourth grade Fifth grade Sixth grade (c) Use the Jefferson method to determine the number of teacher aides to be apportioned to each class. Jefferson Class method Kindergarten First grade Second grade Third grade Fourth grade Fifth grade Sixth grade Is this apportionment in violation of the quota rule? Yes No

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A total of 25 teacher aides are to be apportioned among seven classes at a new elementary school. The enrollment in each of the seven classes is shown in the
following table.
Number of
students
Class
Kindergarten
38
First grade
39
Second grade
35
Third grade
27
Fourth grade
21
Fifth grade
31
Sixth grade
33
Total
224
(a) Determine the standard divisor,
What is the meaning of the standard divisor in the context of this exercise?
There is one aide for every
students.
(b) Use the Hamilton method to determine the number of teacher aides to be apportioned to each class.
Hamilton
Class
method
Kindergarten
First grade
Second grade
Third grade
Fourth grade
Fifth grade
Sixth grade
(c) Use the Jefferson method to determine the number of teacher aides to be apportioned to each class.
Jefferson
Class
method
Kindergarten
First grade
Second grade
Third grade
Fourth grade
Fifth grade
Sixth grade
Is this apportionment in violation of the quota rule?
Yes
O No
(d) How do the apportionment results produced using the Jefferson method compare with the results produced using the Hamilton method?
Using the Jefferson method, the sixth grade gets one more teacher's aide and the fourth grade gets one less aide when compared to the Hamilton
method.
Using the Jefferson method, the first grade gets one more teacher's aide and the fifth grade gets one less aide when compared to the Hamilton
method.
They are identical.
O Using the Jefferson method, the second grade gets one more teacher's aide and the third grade gets one less aide when compared to the Hamilton
method.
Using the Jefferson method, the fifth grade gets one more teacher's aide and the second grade gets one less aide when compared to the Hamilton
method.
Transcribed Image Text:A total of 25 teacher aides are to be apportioned among seven classes at a new elementary school. The enrollment in each of the seven classes is shown in the following table. Number of students Class Kindergarten 38 First grade 39 Second grade 35 Third grade 27 Fourth grade 21 Fifth grade 31 Sixth grade 33 Total 224 (a) Determine the standard divisor, What is the meaning of the standard divisor in the context of this exercise? There is one aide for every students. (b) Use the Hamilton method to determine the number of teacher aides to be apportioned to each class. Hamilton Class method Kindergarten First grade Second grade Third grade Fourth grade Fifth grade Sixth grade (c) Use the Jefferson method to determine the number of teacher aides to be apportioned to each class. Jefferson Class method Kindergarten First grade Second grade Third grade Fourth grade Fifth grade Sixth grade Is this apportionment in violation of the quota rule? Yes O No (d) How do the apportionment results produced using the Jefferson method compare with the results produced using the Hamilton method? Using the Jefferson method, the sixth grade gets one more teacher's aide and the fourth grade gets one less aide when compared to the Hamilton method. Using the Jefferson method, the first grade gets one more teacher's aide and the fifth grade gets one less aide when compared to the Hamilton method. They are identical. O Using the Jefferson method, the second grade gets one more teacher's aide and the third grade gets one less aide when compared to the Hamilton method. Using the Jefferson method, the fifth grade gets one more teacher's aide and the second grade gets one less aide when compared to the Hamilton method.
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