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?
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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