MDM4U1 Final Exam Review – Part 1
“It’s the end of the semester as we know it, and I feel fine”
1. Amanda Huggankis is in Grade 12 Theology with marks below. Find her overall mark.
Term Mark Overall Mark Marks earned this semester:
Tests 50% Term Mark 70% Final Exam 78%
Assignments 20% Final Exam 30% Tests 75%, Assignments 84%,
Readings 10% Readings 80%, Major Essay 66%
Major Essay 20%
2. Miky interviewed a candidate for a job is evaluated under the following weighting system for a job in the human resources department, and received these marks out of 10.
Weighting Candidate’s Rating
Intelligence 4 5
Looks 1 10
Academic Background 3 6
Interview Skills 2 8
Past Job References 5 4
a) Find the candidate’s unweighted average score
b) Find the candidate’s weighted average score
c) Which method is best to evaluate this candidate, unweighted or weighted
3. In Joel’s class of 20 students, quiz marks: 6 7 7 8 8 9 9 10 10 11
12 12 12 14 15 16 17 17 18 19
a) Find the mean, median and mode
b) Find the value of the mark in the i) 20th percentile ii) 90th percentile
c) Find the variance and standard deviation
4. Adam conducts a survey of number Number of Children 0 1 2 3 4
of children in 150 families: Frequency 54 25 38 21 12
a) Prepare a frequency histogram
b) Prepare a frequency polygon
c) What percentage of families have 4 children?
d) Find the mean, median and mode number of children
e) Find the number of children per family found in the: i) 81st ii) 28th percentile
f) Find the variance and standard deviation from the meang
g) Find the Q1, Q2, Q3 and the interquartile range, and what does the 4th quartile stand for
5. Match the correct letter to the correlation coefficient at right:
a) a graph has an array of dots with no discernible pattern to them ____ 0.90
b) a graph has dots clustered closely around a line sloping up to the left ____ -0.84
c) a graph has dots clustered closely around a line sloping up to the right ____ 0.06
d) a graph has dots clustered around a straight horizontal line ____ -0.10
6. For the correlation coefficients below, match to the letter of the appropriate description:
_____ 0.19 _____ -0.97 _____ 0.51 _____ 0.88 _____ -0.05
a) weak negative b) strong negative c) moderate positive d) strong positive e) weak positive
7. In 2002, the CPI index in Ontario is set at 100. In 2011, it is 120.6. If Leeon:
a) purchased a new car for $17,000 in 2002, what should that same car cost in 2011?
b) purchased a bag of cookies for $2.99 in 2011, what should that bag cost in 2002?
c) earned 2.2% average annual raises, find the % salary increase & did you beat inflation?
8. Terry Bull surveys eight gas stations, with these diesel prices per Litre, and Litres sold per hour.
Price 54.5 55.0 55.9 56.3 58.4 59.2 60.2 62.3
Litres 186 178 172 150 127 112 102 83
a) Find the equation of the line of best fit using Linear Regression, in y = mx + b form
b) Based on your line of best fit, estimate how many Litres sold if price is 50 cents/L
c) Based on your line of best fit, estimate the price if 220 Litres are sold
d) Compute the correlation coefficient and what kind of correlation exists
9. Define the meaning of these words/phrases in surveying. See textbook 5.1, 5.2, 5.3, 5.5.
a) Numerical (Quantitative) Data b) Categorical (Qualitative) Data c) Ordinal Data d) Nominal Data e) Population f) Sample
g) Treatment Group h) Control Group
10. Define and think of an example for each type of survey. See textbook 5.2
a) Voluntary-Response b) Convenience c) Cluster d) Stratified
e) Simple Random f) Systematic g) Multistage
11. Define and think of an example for each type of bias. See textbook 5.5
a) Measurement b) Non-Response c) Response d) Sampling
12. At Rock n Roll High school are the number of students by grade. Grade # of Students
9 400
If Isaiah uses a stratified sample based on number in each 10 364
grade, if he wishes to survey 150 people in the high school, 11 336
calculate how many should he survey from grade 10? 12 300
MDM4U1 Exam Review: Answers That May Actually Be Correct
1. 52.85% + 23.4% = 76.25% 2. a) 6.6 b) 5.6 c) Weighted - more important items are rated higher
3. a) Mode 12 Median 11.5 Mean 11.85 b) i) 8 ii)17.5 c) Var(X) = 15.42, s = 3.93
4. c) 0.08 d) Mean 1.41, Med. 1, Mode 0 e) i) 3 ii) 0 f)1.72, 1.31 g) 0, 1, 2, Range 2, top 25%
5. c) b) a) a) 6. e) b) c) d) a) 7. a) $20502 b) $2.48 c) 121.6 or 21.6% Increase, and yes you did
8. a) y = -13.8x + 935.4 b) 245.4 c) 51.8 d) -0.99 strong negative 9-11. textbook chapter 5 12. 39