Chapter 5 – 6 Project
Justin is a Grade 12 student planning to go the university next year. He currently has an overall average
of 82%. However, Justin is uncertain of where he stands in relation to his other classmates applying to
university.
Here is a list of the average marks of all of the Grade 12 students in Justin’s school who are applying to
university:
75
72
76
63
64
66
70
82
76
72
53
48
81
77
64
79
71
75
78
72
78
67
63
90
87
77
75
70
59
75
76
78
55
74
71
73
69
85
63
54
Marks Question & Description
5
1) Use Fathom to create a histogram of the list of average marks of all grade 12 students in
Justin’s school who are applying to university. Use “Average Grade 12 Marks” as the title of the
graph. Use “Average” as the title for the horizontal axis. Use a binWidth of 6, xLower of 0, and
an xUpper of 100. Make sure the entire frequency is displayed for all bars. Take a screen shot
and paste it in a Word document.
3
2A) Use the simulated TI-83 graphing calculator on the computer to calculate the 1-variable
statistics summaries. Your answer to this question will be two screen shots to show what the
calculator displayed. Adjust the size of the screen shots in the Word document to make sure
the numbers can be easily read.
7
2B) In a sentence, state the range, mean, median, first quartile, third quartile, interquartile
range and the standard deviation.
2
2C) In which quarter, NOT quartile, of the group does Justin’s average mark of 82% fit? What
would this tell Justin about his prospects of being accepting into university?
5
3A) Use Fathom to create a box-and-whisker plot for the data. Use an xLower of 0 and an
xUpper of 100. Take a screen shot and paste it in a Word document.
4
3B) Explain how the box-and-whisker plot displays the first and third quartile values, the
median and the interquartile range.
3
4A) What is range of average marks for Grade 12 students in Justin’s school that are within one
standard deviation of the mean? Two standard deviations? Three standard deviations?
(Round all answers to one decimal place)
3
4B) How many Grade 12 students in Justin’s school have an average mark within one standard
deviation of the mean? Two standard deviations? Three standard deviations?
4
5) What would Justin have to raise his average mark to if he wanted to be in the 90th
percentile? Show your work.
MDM 4UC
Page 1
Chapter 5 – 6 Project
Many universities use a numerical score called the Grade Point Average (GPA). It assigns a value
between 0 and 4 for each final grade and computes a weighted average by the number of credits. Most
of Justin’s courses are full-credit courses, but he did take a half-credit course in Civics.
Justin’s Marks (all worth 1 credit, unless noted):
English: 86
Calculus: 83 (2 credits)
Geometry: 78
Data Management: 88 (1.5 credits)
History: 74
Physics: 77
Civics: 92 (0.5)
Mark
Range
93-100
86-92
80-85
77-79
73-76
70-72
67-69
63-66
60-62
57-59
53-56
50-52
<50
Letter
Grade
A+
A
AB+
B
BC+
C
CD+
D
DF
Numerical
Value
4.0
4.0
3.7
3.3
3.0
2.7
2.3
2.0
1.7
1.3
1.0
0.7
0
Marks Question & Description
4
6A) In Word, create a table with the column headings: Course, Justin’s Mark, Numerical Value.
Fill in the appropriate entries.
3
6B) Calculate Justin’s weighted GPA to one decimal place. Show your work.
1
Every sheet of your assignment should have your last name and page numbering set up in the
header for every page.
1
Use full sentences, proper spelling and grammar, to answer all questions.
1
Copy your completed assignment to the Assignment Hand-In folder.
1
Submit this sheet, with your name on it, for marking purposes.
47
Total
MDM 4UC
Page 2