5. A college dean has received the following results from a department chair about MTH 123, which is a math course with six sections. The dean wants to compute the overall pass rate using a spreadsheet and is trying to determine if she can average the values in the Pass Rate column. Course & Section MTH 123-1 MTH 123-2 MTH 123-3 MTH 123-4 MTH 123-5 MTH 123-6 Total B C 6 5 A 9 1 10 6 3 5 2 5 5 9 7 9 28 43 6. 3 5 7 2 28 D 5 1 3 0 1 3 13 F 9 3 9 10 4 5 40 Incomplete Withdraw 1 1 0 4 0 6 0 1 0 1 1 3 2 16 D Total 32 29 29 23 27 30 170 Pass Rate 0.500 0.724 0.379 0.522 0.778 0.600 a. Compute the overall pass rate for this course using the summary data in the last row. In other words, find the total number of students who passed that is, earned an A, B, or C-and divide that number by the total number of students. b. Compute the average of the pass rates in the last column. Is it correct to average the pass rates this way? Why or why not? c. Find the average of the pass rates using the class sizes as the weights. Do you get the same answer as you did when you used the raw data in part a?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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ORK MASTERS
Here are 10 skills employers
seek in employees:
1. Communication skills
2. Strong work ethic
Teamwork skills
Initiative
Analytical skills
Computer skills
lexibility/adaptability
5. A college dean has received the following results from a department chair about
MTH 123, which is a math course with six sections. The dean wants to compute the
overall pass rate using a spreadsheet and is trying to determine if she can average the
values in the Pass Rate column.
terpersonal skills
oblem-solving skills
chnical skills
Course &
Section
MTH 123-1
MTH 123-2
MTH 123-3
MTH 123-4
MTH 123-5
MTH 123-6
Total
A
1
10
3
2
L
7
28
B
9
6
5
5
9
9
43
C
6
5
3
5
7
D
dinh
5
1
3
0
1
لسر
2
3
28 13
F
-9
3
9
10
4
5
40
Incomplete
1
0
0
0
0
1
2
Withdraw Total
1
32
4
29
6
29
1
23
1
27
3
30
16
170
Pass Rate
0.500
0.724
0.379
0.522
0.778
0.600
a. Compute the overall pass rate for this course using the summary data in the
last row. In other words, find the total number of students who passed-that is,
earned an A, B, or C-and divide that number by the total number of students.
b. Compute the average of the pass rates in the last column. Is it correct to average
the pass rates this way? Why or why not?
c. Find the average of the pass rates using the class sizes as the weights. Do you get
the same answer as you did when you used the raw data in part a?
6. Many employers screen by GPA, in addition to seeking the skills mentioned in the
sticky note. Suppose you are in your last semester of college and have a 2.75 GPA
after 105 credit hours. If you are taking 15 credit hours in your last semester and get
a perfect 4.0 GPA, what will your overall GPA be? Is it possible to get your GPA up to
3.0 for graduation?
Transcribed Image Text:ORK MASTERS Here are 10 skills employers seek in employees: 1. Communication skills 2. Strong work ethic Teamwork skills Initiative Analytical skills Computer skills lexibility/adaptability 5. A college dean has received the following results from a department chair about MTH 123, which is a math course with six sections. The dean wants to compute the overall pass rate using a spreadsheet and is trying to determine if she can average the values in the Pass Rate column. terpersonal skills oblem-solving skills chnical skills Course & Section MTH 123-1 MTH 123-2 MTH 123-3 MTH 123-4 MTH 123-5 MTH 123-6 Total A 1 10 3 2 L 7 28 B 9 6 5 5 9 9 43 C 6 5 3 5 7 D dinh 5 1 3 0 1 لسر 2 3 28 13 F -9 3 9 10 4 5 40 Incomplete 1 0 0 0 0 1 2 Withdraw Total 1 32 4 29 6 29 1 23 1 27 3 30 16 170 Pass Rate 0.500 0.724 0.379 0.522 0.778 0.600 a. Compute the overall pass rate for this course using the summary data in the last row. In other words, find the total number of students who passed-that is, earned an A, B, or C-and divide that number by the total number of students. b. Compute the average of the pass rates in the last column. Is it correct to average the pass rates this way? Why or why not? c. Find the average of the pass rates using the class sizes as the weights. Do you get the same answer as you did when you used the raw data in part a? 6. Many employers screen by GPA, in addition to seeking the skills mentioned in the sticky note. Suppose you are in your last semester of college and have a 2.75 GPA after 105 credit hours. If you are taking 15 credit hours in your last semester and get a perfect 4.0 GPA, what will your overall GPA be? Is it possible to get your GPA up to 3.0 for graduation?
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