Download Data Management Final Exam Review Chapter 1: The heights (in

Data Management Final Exam Review
Chapter 1:
1. The heights (in cm) of students in a Grade 9 Math class were measured. The results were as
follows: 150, 153, 154, 154, 154, 158, 159, 160, 162, 163, 163, 163, 163, 165, 165, 166, 167, 167,
167, 168, 170, 174, 175, 179.
a. Display the heights using a stem-and-leaf plot
b. Create a frequency table of the heights using a spread of 5cm
c. Does the data in the tables seem reasonable? Explain.
d. Create a histogram of the heights
e. Create a box-and-whisker plot of the heights
2. What is a causal relationship?
3. What is a split-bar graph?
4. Using the tables of data on page 32 of your text,
a. Plot the data on a scatter plot
b. Determine the points of the median-median line and draw the line
c. Determine the equation of the median-median line
5. Draw a residuals graph for the graph you created in question 4.
6. What are the methods employed by the media to misuse statistics to promote certain points of
view?
Chapter 2:
7. Describe the difference between population and sample
8. What is “representative”?
9. Describe the difference between cross-sectional vs longitudinal studies
10. Describe the difference between qualitative vs quantitative data
11. Identify and describe the 6 types of sampling methods
12. What are the 5 ways surveys can be conducted?
13. What is the difference between primary and secondary data?
14. What are the 4 question types?
15. Define bias
16. Describe and give examples of the 4 types of bias
Chapter 3:
17. What is the difference between continuous and discrete data?
18. What are the common frequency distribution types?
19. The following data represents a sample of earthquake magnitudes recorded in Canada between
1960 and 1965: 5.0, 6.4, 5.0, 6.0, 5.0, 7.2, 7.0, 5.7, 6.4, 5.0, 5.5, 6.5, 5.0, 5.7, 5.2, 5.0, 6.0, 5.6,
4.6, 5.7, 5.6, 5.0, 6.3, 5.0, 6.5, 5.0, 7.2, 5.6, 6.5, 5.0, 6.0, 6.0, 5.0, 5.0, 5.4, 5.6, 5.5, 5.7, 5.8, 6.2
a. Determine the bin width of the data if there are to be 6 intervals
b. Create a frequency distribution table by grouping the data into class intervals.
c. Create a histogram of the data
d. What type of distribution is this?
20. Determine the mean for {3, 8, 11, 18}
21. A student received a mark of 25/34 on the chapter 1 assignment (4%), 32/46 on the chapter 1
test (8%) and 40/64 on the chapter 2 test (9%).
a. Calculate the student’s current term mark
b. What mark must this student get on the next test (9%) to bring the term mark up to
70%?
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Data Management Final Exam Review
22. The following data is recorded for 125 pennies: 1990-1999 (56), 1980-1989 (42), 1970-1979 (21),
1960-1969 (6). Determine the mean.
23. A student had the following test scores: 73, 56, 92, 67, 88, 34, 77, 65. Determine the range,
quartile values, interquartile range and standard deviation.
24. The following is a quantities of candies in Halloween bags: 4x45 candies, 12x46 candies, 15x47
candies, 14x48candies, 9x49 candies. Determine the mean and standard deviation.
25. The average household income in a neighbourhood is $75000 with a standard deviation of
$8000. What is the range of income for the neighbourhood that you would expect 95% of the
households fall into?
26. If 𝑋~𝑁(10, 32 ), draw a diagram that represents the percent of data that would have these
values of X:
a. 𝑋 < 10
b. 7 < 𝑋 < 16
27. What is a z-score?
28. The final percentages for the Data Management class were as follows: 83, 84, 73, 71, 81, 57, 70,
43, 90, 70, 50, 55, 65, 77, 90, 80, 89, 85, 82, 85, 75, 55, 46, 72, 83, 93, 84, 96.
a. Determine the mean and standard deviation
b. Draw and label a normal curve for this class.
c. Calculate the z-score for the highest mark in the class
d. Determine the percentile of a student that finished with a 70.
29. What is an index?
30. Calculate the BMI for a person with a height of 193cm and a mass of 90kg
Chapter 4:
31. What is experimental probability?
32. Describe the following terms and how they relate to experimental probability: trail; random
variable; discrete random variable; expected value; simulation
33. Using a single die, what is the probability of rolling a 5? A 5 or 6? A number less than 5?
34. Using a standard deck of 52 playing cards, what is the probability of drawing a face card? A nonface card?
35. Construct a Venn diagram to represent the following data for 123 grade 12 mathematics
students: Data Management (45); Calculus (27); College Math (54); Data and Calculus (3)
a. What is 𝑛(𝐷𝑀 ∩ 𝐶𝑉)?
b. What is 𝑛(𝐷𝑀 ∪ 𝐶𝑉)?
c. What is 𝑛(𝐷𝑀 ∩ 𝐶𝑀)?
d. What is 𝑛(𝐷𝑀 ∪ 𝐶𝑀)?
36. Referring to question 35, determine the probability that
a. A student takes only the calculus & vectors course
b. A student was in calculus & vectors OR data management
c. A student in calculus & vectors AND college math
d. A student was in calculus & vectors OR college math
37. What is the probability of rolling a sum greater than 7 with two dice if it is known that the first
die rolled is a 3?
38. If a family is chosen at random from the set of all families with exactly two children, determine
the probability that
a. The family has two boys given that at least one child is a boy
b. The family has two boys if it is known that the first child is a boy
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Data Management Final Exam Review
39. If the first card drawn from a standard deck of cards is not replaced, what is the probability of…
a. Drawing an ace on the first draw AND a jack on the second draw?
b. Drawing a pair of eights?
40. When tossing a coin 3 times,
a. Determine the probability of getting 3 heads.
b. Determine the probability of NOT getting 3 heads.
c. Determine the probability of getting 2 heads.
41. Determine the probability of tossing a coin and getting a head and then rolling a die and getting
an odd number.
42. How many different numbers can be created using the digits 1, 2, 3, 4 when each digit is only
used once?
43. How many different four digit numbers can be created using the digits from 1 to 6 when each
digit is only used once?
44. How many different SIX digit numbers can be created using the digits 1, 1, 2, 2, 2, 3 when each
digit is only used once?
45. How many ways can you choose 3 people numbers from a set of 5 people?
46. In a class of 25 students there are 15 girls and 10 boys. How many ways can you select 5
students when…
a. there are no restrictions?
b. Matt must be selected?
c. there must be 3 females and 2 males?
d. there must be at least 3 females
e. What is the probability that all five members chosen will be female?
f. What are the odds that all five members chosen will be female?
Chapter 5:
47. If you were to toss 4 coins,
a. What is the discrete random variable?
b. What is the likelihood of getting at least 2 tails?
c. What is the expected number of tails?
48. Suppose you want to select a committee consisting of three people. You can select the
committee from a group of 4 men and 3 women.
a. What is the discrete random variable?
b. What is the probability that at least 2 men are on the committee?
c. What is the expected number of men on the committee?
49. Use the binomial theorem to expand (𝑥 − 2)7
50. Determine the 4th term of (𝑥 + 𝑦)6
51. Determine the probability of…
a. A family planning to have 3 children will have all girls.
b. The family will have at least 2 girls.
c. What is the expected number of girls?
52. In a multiple choice test that contains ten questions with each question having five possible
answers, what is the probability that
a. A student will pass the test if he merely guesses at each question?
b. A student will get at least 1 question right?
c. What is the expected number of correct answers if you merely guess?
53. A die is rolled 100 times. Determine the probability that a 1 appears 20 times.
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Data Management Final Exam Review
54. A die is rolled 100 times. Determine the probability that a 1 appears less than 20 times.
Chapter 6:
55. Describe the following terms: algorithm, loop and branch.
56. Create an algorithm for using a formula sheet on an exam
57. The following is a chart of direct bus routes between some Ontario cities. Create a digraph to
represent the travel routes.
Toronto
Ottawa
Hamilton
Sudbury
Timmins
Toronto
-Y
Y
Y
Y
Ottawa
N
-N
N
N
Hamilton
N
N
--N
N
Sudbury
Y
N
N
-Y
Timmins
Y
N
N
Y
-North Bay
Y
Y
N
Y
Y
58. What city is it most difficult to travel from?
59. Given the following matrices:
3
0
0
7
−2 0 −7
𝐴 = [−2 5 ] 𝐵 = [
] 𝐶=[ 2
8]
1 −1 4
1 −4
−3 −9
Determine:
a. 𝐴 + 𝐵
b. 𝐴 − 𝐶
c. −3𝐵
d. 2𝐶 + 𝐴
e. 𝐴 × 𝐵
f. 𝐴 × 𝐶
g. 𝐵 × 𝐶
h. 𝐶 × 𝐵
60.
If all else fails (and you think you’re going to fail), you’re welcome to TRY and bribe Mr. Newman.
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North Bay
Y
Y
N
Y
Y
--