Calculate applications of mathematical problems involving probabilities.

MATH125: Unit 6 Submission Assignment Answer Form

1. Apply the order of operations to solve discipline-specific problems involving probabilities and counting principles.

2. Calculate applications of mathematical problems involving probabilities.

3. Differentiate between the concepts of odds and probabilities, as well as permutations and combinations, and identify how they relate to one another.

4. Identify and choose viable likelihoods based on calculated probabilities.

Logic, Decision Making, and Introduction to Statistics

ALL questions below must be answered. Show ALL step-by-step calculations, round all your final answers correctly, and include the units of measurement. Upload this modified Answer Form to the intellipath Unit 6 Submission lesson. Make sure that you submit your work in a modified MS Word document; handwritten work will not be accepted. If you need assistance, please contact your course instructor.

A proposed directed study MATH125 class comprising 25 students earned the following grades on the first unit:

MATH125 Total Percentage Unit 1 U1DB2 U1DB U1i U1SA
Class Letter Grade Points Points Points Points Points
Names Grade Total (100) Total (200) Total (50) Total (10) Total (50) Total (90)
Student #1 B- 82% 163 48 10 50 55
Student #2 C- 72% 144 34 0 40 70
Student #3 C 74% 148 40 10 43 55
Student #4 A 93% 186 50 10 36 90
Student #5 B+ 87% 174 48 10 46 70
Student #6 F 56% 112 44 5 28 35
Student #7 B 84% 168 50 10 43 65
Student #8 B- 80% 159 46 10 48 55
Student #9 C+ 79% 158 50 10 73 25
Student #10 B 86% 172 33 5 44 90
Student #11 B- 80% 159 34 10 50 65
Student #12 C+ 77% 154 40 5 44 65
Student #13 A- 90% 179 36 10 43 90
Student #14 C 73% 145 42 10 38 55
Student #15 D+ 66% 131 28 0 33 70
Student #16 B+ 87% 174 34 10 50 80
Student #17 C- 79% 158 30 0 43 85
Student #18 B- 80% 159 46 10 38 65
Student #19 C+ 78% 155 22 10 33 90
Student #20 D 61% 121 28 10 38 45
Student #21 B- 80% 159 34 10 50 65
Student #22 B+ 88% 175 40 10 50 75
Student #23 B 85% 169 41 0 43 85
Student #24 B- 80% 160 22 10 48 80
Student #25 C 74% 148 50 10 33 55

1. Calculate the class average for Unit 1. Using the “Grading Scale” listed below with the “Percentage Grade Total” above, what is the overall class average “Letter Grade”?

Grading Scale
Letter Grade Percentage Letter Grade Percentage
A 93–100 C+ 77–79.99
A- 90–92.99 C 73–76.99
B+ 87–89.99 C- 70–72.99
B 83–86.99 D+ 67–69.99
B- 80–82.99 D 60–66.99
Class Average Letter Grade
Unit 1 ? ?

Show your work here: (5 points)

2. Create a frequency table to show the distribution of grades across the grading scale for the first week. (5 points)

Letter Grade Percentage Frequency # Cumulative Frequency #
A 93–100 ? ?
A- 90–92.9 ? ?
B+ 87–89.9 ? ?
B 83–86.9 ? ?
B- 80–82.9 ? ?
C+ 77–79.9 ? ?
C 73–76.9 ? ?
C- 70–72.9 ? ?
D+ 67–69.9 ? ?
D 60–66.9 ? ?
F Below 59.9 ? ?

3. Describe what you see based on the frequency distribution. (5 points)

4. Calculate the mean, median, and mode for the class’s first unit “Percentage Grade Total” grades.

Answers

(Rounded to the nearest percent)

Mean ?
Median ?
Mode ?

Show your work here: (15 points)