AMHS
Practice Test, Ch. 12
Algebra 2
Name:
Solve for the situation.
1. One of the following triangles is selected at random. Find P(not a right triangle).
2. A bag is filled with buttons. The probability of randomly selecting a two-holed button is
button is
, and a four-holed button is
, a three-holed
. Find P(less than four-holed button).
3. Find the odds of a computer randomly selecting a vowel from the name GEORGE WASHINGTON.
4. How many different 3-character codes can be made using a one-digit prime number as the first character, a
vowel as the second character, and Y or Z as the last character?
5.
Chili
Vegetarian
Texas
Cincinnati
Turkey
Sausage
Topping
Onions
Peppers
Hot Sauce
Cheese
Cheddar
Swiss
Monterey Jack
American
At Bart’s Chili Shack you order by choosing a type of chili, a topping, and a cheese. How many different
combinations are there?
AMHS
Practice Test, Ch. 12
Algebra 2
Name:
Solve for the situation.
6.
7.
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Number of
Customers
10
15
14
15
9
19
The chart shows the number of customers a auto
repair shop had last week. Find the mean, median
and mode.
Employee
Sandy
Pete
Heather
Chris
Britt
Janeen
Jake
Weekly Salary
$170
$125
$250
$225
$275
$175
$250
The chart shows the weekly salary for part-time
workers at a grocery store. Find the mean, median
and mode.
8. Georgia scored 14, 18, 9, 20, and 13 points in her first 5 basketball games of the season. How many points does
she need to score in her next game to have an average (mean) of exactly 14 points a game?
9.
Player
Hal
Juan
Jon
Sven
Steve
Cliff
Thomas
Sergio
Bill
Height (in.)
62
58
67
60
68
72
69
65
60
The chart shows the height of the players on Hal’s volleyball team. Find the range, median, lower quartile, and
upper quartile.
10. The average weight of the 21 students in Wanda’s class was 152 lbs. When Kal left the room the average weight
increased to 153 pounds. How much does Kal weigh?
Solve for the situation.
11.
What is the difference between the range and the interquartile range?
AMHS
Practice Test, Ch. 12
Algebra 2
Name:
12.
The histogram shows the age of the presidents of the United States when they took office. How many more
presidents were inaugurated while in their 50s than in their 60s?
13. Franklin is making a bar graph using the data in the frequency table. How many times higher will the summer
bar be than the fall bar?
14. The line graph shows the average daily temperature during
Taylor’s vacation. What is the difference between the highest
temperature and the lowest temperature?
15.
The stem-and-leaf plot shows the weight in pounds of all the dogs in a dog show. Do more dogs weigh less or
more than 50 pounds?
AMHS
Practice Test, Ch. 12
Algebra 2
Name:
Identify each sample. Then classify the sample as simple, stratified, systematic, convenience, or voluntary.
16. A popcorn manufacturer wants to check the quality of the popcorn it sells. Every 30 minutes, a bag of popcorn
is pulled off the assembly line to be tested.
____ 17. To check spoilage, a produce worker chooses 10 strawberries from the top of a crate.
a. 10 strawberries; simple
c. 10 strawberries; systematic
b. 10 strawberries; stratified
d. 10 strawberries; convenience
18. The first 15 people in line for a hockey game are asked who their favorite team is.
19. A local country radio station asks listeners to call in about the best song of the year.
20. A teacher wants students to place five homework problems on the board. She has the first five students who
raise their hand place the problems on the board.
____ 21. The 30 students in a class are each assigned a number from 1 to 30. Then four of the 30 numbers are picked at
random.
a. four students; simple
c. 30 students; systematic
b. four students; stratified
d. 4 students; systematic
22. Ten parks are selected randomly from a list of all parks in the state. Then one liter of soil is collected from the
soccer fields at each park.
23. A school is divided into male and female students. Then 10 male and 10 female students are chosen at random.
____ 24. A city is divided into 5 zip codes. Seven residents are chosen at random from each zip code.
a. 5 residents; simple
c. 35 residents; systematic
b. 35 residents; stratified
d. 35 residents; simple
25. A car manufacturer is concerned with quality control. Every hundredth car is checked for defects.
AMHS
Practice Test, Ch. 12
Algebra 2
Name:
State whether the sample is biased or unbiased. If unbiased, classify the sample as simple, stratified, or systematic.
If biased, classify the sample as convenience or voluntary.
26. A farmer wants to check the quality of his eggs. Every fifteenth egg is checked for quality.
____ 27. Students are presenting their science fair projects. The teacher selects the first five students who raise their hand
to present their projects on Monday.
a. unbiased; stratified
c. biased; convenience
b. unbiased; systematic
d. biased; voluntary
28. A local television show asks its viewers to voice their opinion on a new recycling program. Viewers are asked to
email their opinion to the station.
29. The school newspaper asks readers to write letters stating their preferred lunch menu.
30. The sophomore class is designing a class T-shirt. The class president asks five of her friends which T-shirt
design is the best.
____ 31. The 20 students in a class are each assigned a different number from 1 to 20. Then five of the 20 numbers are
picked at random.
a. unbiased; stratified
c. biased; convenience
b. unbiased; simple
d. biased; voluntary
32. Pieces of paper with the names of 10 freshmen are drawn from a box containing identical pieces of paper with
the names of all freshmen.
33. A state is divided into its 88 counties. Then four residents are randomly selected from each county.
34. A school is divided into freshman, sophomore, junior, and senior classes. Then five students are randomly
selected from each class.
35. A manufacturer wants to check the quality of its light bulbs. Every 5 minutes, a light bulb is removed from the
assembly line and tested.
AMHS
Practice Test, Ch. 12
Algebra 2
Name:
Find the median. Round to the nearest tenth.
____ 36. {21, 11, 79, 17, 12, 13}
a. 79
b. 15
c. 11
d. 17
____ 37. {12, 28, 90, 12, 16, 10}
a. 19
b. 14
c. 10
d. 12
Find the mean. Round to the nearest tenth.
____ 38. {20, 21, 23, 26, 38, 39}
a. 27.8
b. 26.3
c. 22.9
d. 32.7
____ 39. {20, 22, 22, 23, 29, 36}
a. 25.3
b. 28.7
c. 23.9
d. 20.4
40. A convenience store chain took a random survey of some of their stores to find the average number of fountain
drinks they sell per day. The results were: {132, 154, 135, 145, 25, 144, 147, 129, 133}. Which measure of
central tendency best represents the data? Justify your answer and find the measure.
41. Every 100th person to enter a music festival was asked their age. The results are shown in the table. Which
measure of central tendency best represents the data? Justify your answer and find the measure.
17
18
17
19
22
64
23
20
18
25
24
23
18
59
22
20
19
23
21
16
42. The height (in meters) of the basketball players on an Olympic team were: {2.1, 1.75, 1.6, 2.2, 1.8, 1.95, 1.85, 2,
1.65, 2}. Which measure of central tendency best represents the data? Justify your answer and find the
measure.
43. The test scores of the students in drivers education were: {95, 90, 95, 95, 95, 90, 95, 95, 95}. Which measure
of central tendency best represents the data? Justify your answer and find the measure.
AMHS
Practice Test, Ch. 12
Algebra 2
Name:
Find the mean absolute deviation. Round to the nearest tenth.
____ 44. {1, 2, 2, 10, 10, 11}
a. 4.3
b. 1.3
c. 3.9
d. 3.5
____ 45. {3, 4, 6, 6, 8, 9}
a. 1.7
b. 3.9
c. 2.9
d. 2.6
____ 46. {2, 4, 6, 6, 8, 10}
a. 2
b. 3.2
c. 1.1
d. 3.1
Find the variance. Round to the nearest tenth.
____ 47. {6, 7, 13, 17, 20, 20}
a. 35.6
b. 32.5
c. 30.2
d. 31.6
____ 48. {1, 2, 3, 4, 9, 14}
a. 20.1
b. 20.9
c. 24.3
d. 22
____ 49. {3, 6, 8, 8, 19, 20}
a. 40.1
b. 41.9
c. 40.2
d. 44.6
50. Alex ran the 100-meter dash in ten competitions this year. His times were 11.2, 11.5, 11.4, 10.8, 12.0, 11.8,
10.8, 11.4, 11.3, and 11.0. Find the variance and standard deviation. Round to the nearest hundredth.
51. Andy is learning to play the guitar. Last week he recorded the minutes per day that he practiced. Find the mean
absolute deviation. Round to the nearest tenth.
Day
Minutes
S
40
M
55
T
35
W
60
T
20
F
50
S
55
AMHS
Practice Test, Ch. 12
Algebra 2
Name:
52. Sandra used a price comparison website to find the best deal on a digital camera. Find the mean absolute
deviation. Round to the nearest tenth.
Price ($)
230
216
229
232
221
240
53. The chart shows the 10 longest drives hit during a golf tournament. Find the mean and the mean absolute
deviation. Round to the nearest tenth.
Drive (yd)
299 305 307 310 315 316 318 321 325 329
54. Be able to find the quartiles and draw a box-and-whisker plot when given a set of data. Try it using the data in
problem #53 above. Determine the quartiles and draw out the box-and-whisker over a number line.
AMHS
Practice Test, Ch. 12
Algebra 2
Name:
Pencil only.
Answer Section
1.
, 40%, or 0.40
2.
, 83%, or 0.83
3. 6:10
4. 40
5. 60
6. The mean is 13.7, the median is 14.5, and the
mode is 15.
7. The mean is $210, the median is $225, and the
mode is $250.
8. 10 points
9. The range is 14, the median is 65, the lower
quartile is 60, and the upper quartile is 68.5
10. 132 lbs.
11. 15
12. 15
13. 5
14. 18
15. More dogs weigh less than 50 pounds
16. bags of popcorn; systematic
17. D
18. 15 people; convenience
19. group of country radio station listeners;
voluntary
20. five students; voluntary
21. A
22. 10 1-liter containers of soil, one from each
park; simple
23. 20 students; stratified
24. B
25. a group of cars; systematic
26. unbiased; systematic
27. D
28. biased; voluntary
29. biased; voluntary
30. biased; convenience
31. B
32.
33.
34.
35.
36.
37.
unbiased; simple
unbiased; stratified
unbiased; stratified
unbiased; systematic
B
B
38. A
39. A
40. Sample answer: Median would be the best
because there is an outlier (25). The median is 135.
41. Sample answer: Median would be the best
because there are two outliers (64 and 59). The
median is 20.5.
42. Sample answer: Mean would be the best
because there no outliers. The mean is 1.89 m.
43. Sample answer: Mode would be the best
because there are many repeated numbers. The
mode is 95.
44.
45.
46.
47.
A
A
A
B
48. B
49. B
50.
51. 11.4
52. 6.3
53. mean is 314.5; mean absolute deviation is 7.4