AMDM
Name______________________________________________ Date ___________
Fall Final Review: Units I - III
Unit 1
1) Convert 14 inches to feet.
______________
2) Convert 4 feet to inches.
_____________
Use the following information to answer questions 3 – 6.
Given: a 42” TV whose screen has an aspect ratio of 16:9.
3) Calculate the width of the television screen
______________
4) Calculate the height of the image.
_______________
5) Calculate the area of the image.
_______________
6) Which of the following would be considered to be research that would fit this Fermi question: “How many people can
fit into the Atlanta airport?”
________
A) The airport is in Atlanta
B) You can fit 12 people into 25 square ft
C) The airport is open 24 hours a day
D) The blueprints show the airport is 5,800,000 square feet
7) Which of the following would be the best assumption that would fit this Fermi question:
“How many people can fit onto the grass of Turner Field?”
_________
A) Turner Field doesn’t typically sell out
B) You are not including the infield dirt
C) Turner Field can hold just over 50,000 people in the stands D) Turner Field is hosting a playoff game at the time
8) Last week, Georgia Tech graduated 2,500 students. Assuming the standard 2.5ft2 per person, how much space did the
graduates need?
A) 6250 square feet
B) 240 square feet
C) 6250 feet
D) 240 feet
____________
Use the following grade system to answer question 9.
Suppose your final grade in this class is based on the following system.
Test/Project Average
40%
Final Exam
Homework/Daily Grade/Small projects 25%
Quiz Average
Portfolio
5%
15%
15%
9) Given the grades listed below, what grade would you need to earn on the final exam to earn a final grade average of
at least an 85?
Test grades {70, 90, 58, 85}
Homework {100, 100, 100, 87, 0, 100, 0, 100, 0, 100}
Quiz grades {90, 25, 100, 80}
Portfolio {80}
_____________
10) Given that the typical UPC code is found using a {3,1,3,1,3,1,3,1,3,1,3,1} system, is 0-61201-63421-5 a valid UPC
code?
______________
11) If problem #10 is not a valid UPC code, what number should you place in the last digit to make it a valid UPC code? If
problem #10 is a valid UPC code, what would the check digit be if the first digit became a 2?
______________
Unit 2 – Probability
Use the area model below to answer questions 12 and 13.
“Y” means “yes, recommend it” and “N” means “no, don’t recommend it.”
Y
N
N
N
Y
N
Y
N
12) What is the probability that a new restaurant on Canton Street is recommended?
A) 0.33
B) 0.16
C) 0.67
D) 0.50
Y
____________
13) If 350 people are surveyed concerning their recommendations on a new restaurant on Canton Street, how many
people would not recommend it?
A) 175
B) 35
C) 125
D)200
__________
Use the following Venn diagram to answer questions 14 – 20.
Seniors at Milton High School
Facebook Users
Twitter Users
150
46
321
13
14) What is the probability that a student is a Facebook user?
A) 0.89
B) 0.28
C) 0.09
15) What is the probability that a student is not a Twitter user?
A) 0.28
B) 0.02
C) 0.31
____________
D) 0.61
____________
D) 0.10
16) What is the probability that a student is a Facebook user but not a Twitter user?
A) 0.09
B) 0.61
C) 0.31
D) 0.28
____________
17) What is the probability that a student is neither a Facebook user nor a Twitter user?
A) 0.10
B) 0.02
C) 0.61
D) 0.28
____________
18) What is the probability that a student is a Twitter user given that he/she is a Facebook user? ___________
A) 0.32
B) 0.68
C) 0.13
D) 0.30
19) What is the probability that a student is a Facebook user given that he/ she is not a Twitter user? __________
A) 0.69
B) 0.32
C) 0.92
D) 0.97
20) Are Facebook users and Twitter users mutually exclusive? Why/Why not?
_______________________________
Use the following information to answer questions 21 – 24.
Brandon is playing a game at a carnival in which he tries to throw a ball through a small ring three times (three
throws is considered playing once). If he makes a shot, he gets another chance, up to a total of three chances. If he
makes the first shot, he wins $10; if he makes the second shot, he wins $20; if he makes the third shot, he wins $40.
Brandon can throw the ball through the small ring 40% of the time.
21) Draw a tree diagram that shows all the possible outcomes of the game. Include probabilities on the diagram.
22) What is the probability that Brandon wins $20?
A) 0.064
B) 0.096
__________
C) 0.24
D) 0.60
23) How many times should Brandon expect to win $40 if he plays the game 50 times?
A) 6
B) 5
C) 4
D) 3
__________
24) What is the amount Brandon should “expect” to win if he plays the game once?
A) $5.24
B) $6.38
C) $6.88
__________
D) $4.48
25) Probability is always a number from ______ to ______.
At the Roswell Winter Festival, a tree maze has the paths shown. Only some paths have a prize at the end of the
path.
26) If only forward motion is allowed (no backtracking), draw an area model for the tree maze.
27) What is the theoretical probability of not winning a prize?
A) 0.33
B) 0.43
C) 0.25
D) 0.38
___________
28) What is the theoretical probability of winning a candy cane?
A) 0.33
B) 0.43
C) 0.25
D) 0.38
___________
29) If 200 people go through the maze on a particular weekend, how many sugar cookies should the Roswell Winter
Festival expect to give away that weekend?
A) 75
B) 66
C) 50
D) 90 ________
Unit 3 - Statistics
30) Katrina wanted to find out if different people ate different snacks depending on the time of day. She stood beside
the vending machine in the 3200 hallway and recorded what snacks were taken out of the machine and what time of
day. What type of sampling was this?
________
A) Simple random sampling
B) Stratified
C) Cluster D) Convenience E) Systematic sampling
31) GEA samples its test questions for the GHSG test every year by field testing the questions. They tell schools to test
certain classes at specific schools throughout the state. What kind of sampling are they using?
________
A) Simple random sampling
B) Stratified
C) Cluster D) Convenience E) Systematic sampling
32) Maria wanted to know if many students had a family member with diabetes. She wanted to know about the entire
school. She collected a student roster from the office and used the random number generator on her calculator to select
one of the first 100 students on the list. Maria then selected every 100th student on the list after this initial student for
her sample. The calculator generated the number 84. What kind of sampling is she using?
________
A) Simple random sampling
B) Stratified
C) Cluster D) Convenience E) Systematic sampling
33) Which of the following is part of an observational study?
A) Treatment
B) Placebo
________
C) Control group
D) Variable of interest
34) Researchers report that the average teen (age 13-17) sends 1742 + 112 text messages per month. Which of the
following is the best interpretation of this information?
A) No teen sent fewer than 1630 texts or more than 1854 texts in a single month.
B) 1742 is an estimate of the average number of texts sent by teens in one month.
C) The margin of error is +224 text messages.
D) The margin of error is + 2 years of age.
_________
35) A survey at a local pet store asked a random sample of customers the
number of pets that they owned. Which one of the following statements is
true for the distribution of pets?
A) The distribution is skewed right.
B) The spread of the distribution is from 1 to 12.
C) The distribution is symmetrical.
D) The distribution is skewed left.
Number of Pets
________
36) Which of the following graphs would you use if you wanted viewers to see individual data points?
A) Box-plot
B) Histogram
C) Dot (Line) Plot
D) Frequency Chart
37) One advantage for using a Histogram is:
__________
A) You can see individual data points B) It is useful for small data sets only
C) It is easy to see the 5 number summary
________
D) Easy to see the distribution of the data
38) Given the box plot below, the middle 50% of the data lies between:
A) 20-40
B) 5-35
C) 20-35
D) 35-40
Use the following scenario to answer question 39.
0
5
10
15
20
25
30
35
40
Scores
The dentists in a dental clinic would like to determine if there is a difference between the number of new cavities in
people who eat an apple a day and in people who don’t. They are going to conduct a study. The researchers choose 50
clinic patients who report that they routinely eat an apple a day and 50 clinic patients who report that they don’t to
study. The dentists will look at their records to determine the number of cavities the patients have had over the past
two years. They will then compare the number of new cavities in the patients.
39) This study will have the following features:
A) treatment, participants, and placebo
C) participants, control group, and placebo
_________
B) treatment, participants, and control group
D) treatment, control group, and placebo
Use the following information to answer questions 40 and 41.
Here are the annual numbers of deaths from tornadoes in the United States from 1990 through 2000.
53 39 39 33 69 30 25 67 130 94 40
40) What is the mean of this data?
A) 53.56
B) 56.273
_________
C) 57.71
41) What is the 5 number summary of this data?
A) 25, 33, 39, 69, 130 B) 25, 33, 41, 68, 130
D) 58.33
_________
C) 25, 39, 39, 69, 130
D) 25, 33, 40, 69, 130
Use the following scenario to answer question 42.
The local school board is considering a proposal that would force all teachers to adopt a specific teaching method. They
ask the school to collect data to present at the next board meeting, recommending one method over another. The
principal decides to conduct an experimental survey, so he assigns a teacher to teach using Method A during 1st period
and Method B during 2nd period. The students are tested on the material, and the teacher presents the principal with
their test scores.
Method A Test Scores:
20, 22, 29, 31, 33, 34, 47, 49, 54, 62, 68, 71, 75, 84, 92, 97, 99, 99, 100, 100
Method B Test Scores:
30, 38, 43, 47, 47, 49, 50, 51, 54, 54, 55, 56, 56, 57, 57, 59, 65, 72, 84, 92
42) Which of the following statements is true?
_________
A) On average, students taught using Method A scored lower than those taught using Method B.
B) On average, students taught using Method A scored higher than those taught using Method B.
C) There was no difference between the average test scores for Method A and those for Method B.
D) The average scores cannot be calculated.