4) Calculating a final letter grade Part One Show all work a) Using the four exa

Question

4) Calculating a final letter grade Part One Show all work a) Using the four exam grades 72, 51, 39 and 60 caleulate the exam average. (Calculate to two decimal places) b) A fifth exam will be taken. What is the minimum grade necessary on the fifth exam to pass the course? (Note the chart below) e) What is the maximum exam average possible by taking the fifth exam? Exam Average Letter Grade 90-100A 80-89 70-79 60-69 0-59 note: 85-B+ ...etc d) Calculate your letter grade for part "a", part "b" and part "c" above. Part Two Grade calculation with an included Final Exam Show all work a) Assume your grade on the fifth exam is 100 and the final exam grade is 100 also. Determine your letter grade if the semester average is calculated as 70% of the exam average and 30% of the final exam grade. b) Redo part "a" with 74 on fifth exam and a final exam grade of 100. c) Redo part “a” with 100 on fifth exam and a final exam grade of 74.

Explanation / Answer

4. Part One

a) Exam average = (72+51+39+60)/4

= 55.5

b) Let the 5th exam grade be g

Average score needed to pass the course = 60

(72+51+39+60+g)/5 = 60

g = 300-22

g = 78

c) Maximum exam average possible is when g = 100

Maximum exam average = (222+100)/5

= 64.4

d) For part a, grade = F

For part b, grade = D

for part c, grade = D

Part Two

a) Semester average = (70x64.4 + 30x100)/100

= 75.08

Grade C

b) Semester average = (70x(222+74)/5 + 30x100)/100

= (70x59.2 + 30x100)/100

= 71.44

Grade C

c) Semester average = (70x64.4 + 30x74)/100

= 67.28

Grade D

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