Multiple Choice Assessment Bank
Probability and Statistics
10. The four members of an acappella singing group, two men and two women, always stand in a
row when they sing. They often line up in random order.
Which is the probability that a woman will be at each end of the row?
O
A.
1
2
O
B.
1
6
O
C.
1
12
O
D.
1
24
42. Emma rolls a fair, 6-sided number cube, numbered 1 to 6, 18 times as shown in the frequency
table. She rolls the number cube a total of 90 times.
Which is the number of times Emma will most likely roll a 3 in her 90 rolls?
O
A.
4
O
B.
5
O
C.
6
O
D.
8
76. This fair spinner is divided into equal sections. Julie spins the spinner one time.
Which is the probability of the spinner landing on 6?
O
A.
1
8
O
B.
1
6
O
C.
6
8
O
D.
8
6
258. Becky and John were playing a game called backgammon that uses two cubes numbered 1
through 6. At the end of the game, Becky needed to roll a 6 and a 1 on the two number cubes to win.
The table shows the outcome of tossing two cubes.
Outcome Table for Two Number Cubes
Cube One
Cube
Two
Which is the probability of rolling any combination of a 6 and a 1 on the two number cubes?
O A.
1 out of 6
O B.
1 out of 12
O C.
1 out of 18
O D.
1 out of 36
282. Juan has a bag containing 3 red, 2 blue, and 5 green marbles. He removes one marble from the
bag, sets it aside, and draws another marble.
Which is the probability that he draws a red marble followed by a blue marble?
O A.
2
9
O B.
2
10
O C.
3
10
O D.
1
15
287. Tara plays a game using 2 bags of game pieces. One bag has 6 blue game pieces and 6 red game
pieces. The other bag has ten game pieces numbered 1 through 10. On her turn, Tara must draw one
game piece from each bag.
Which is the probability that she draws a red game piece and an even-numbered game piece?
O A.
1
2
O B.
1
4
O C.
1
30
O D.
1
60
336. A container has six cubes. Two of the cubes are red, one is green, and three are black. Two
cubes are drawn from the container at the same time.
Which is the probability that both cubes will be black?
O A.
1
5
O B.
1
2
O C.
3
5
O D.
1
4
346. Alison’s desk drawer contains 4 blue pens and 5 black pens. Alison selects a blue pen from the
drawer and does not put it back. Without looking, Alison selects a second pen from the drawer.
Which is the probability that the second pen she selects is blue?
O A.
3
5
O B.
3
8
O C.
1
3
O D.
1
5
370. You are flipping three coins: a nickel, a dime, and a quarter.
Which is the probability that you will get heads on two of them and a tail on the other?
O A.
1/2
O B.
3/8
O C.
1/4
O D.
1/8
378. Philip is doing a probability experiment with two cubes with sides numbered 1 through 6. He
tosses the cubes and adds the numbers that land facing up. One cube lands with a 1 facing up.
Which is the probability that the sum of the two numbers will be 6 or more?
O A.
O B.
O C.
O D.
4
11
1
3
2
11
1
6
434. A woman randomly selects one marble from a bag containing 7 red marbles, 13 blue marbles,
and 20 green marbles.
Which is the probability that she will select a blue marble from the bag?
1
2
13
 B.
27
7
 C.
40
13
 D.
40
 A.
457. When a fair coin is tossed, the experimental probability that it will land heads up is ½. In four
successive tosses, a fair coin lands heads up each time.
Which is likely to happen when the coin is tossed a fifth time?
 A. It is more likely to land tails up than heads up.
 B. It is more likely to land heads up than tails up.
 C. It is equally likely to land heads up or tails up.
 D. More information is needed to answer the question.
470. Jane has 5 red, 6 blue and 4 green cubes in a bag. She draws a cube at random and it is red.
She does not replace the cube.
Which is the probability that she will draw a red cube on her next draw?
 A. 1
3
1
 B.
2
 C. 2
5
 D. 2
7
523. Alison’s desk drawer contains 4 blue pens and 5 black pens. Alison selects a blue pen from the
drawer and does not put it back. Without looking, Alison selects a second pen from the drawer.
Which is the probability that the second pen she selects is blue?
 A.
3
5
 B.
3
8
 C.
1
3
 D.
1
5
32. There are four performers in a school talent show.
Which is the number of ways the performers can be arranged by different order of appearance?
O
A.
12
O
B.
16
O
C.
24
O
D.
256
307. The 4 judges for a talent show sit along one side of a table facing the stage.
Which is the number of different ways the judges can be seated at the table?
O A.
10
O B.
16
O C.
24
O D.
256
324. Chris has six sweaters, five pairs of jeans, and four pairs of shoes in his closet.
Which is how many different arrangements of three-piece outfits Chris can make of one sweater, one
pair of jeans, and one pair of shoes?
O A.
24
O B.
30
O C.
120
O D.
240
430. Yolanda and Kyle made sandwiches for a school luncheon. They had 3 types of meat, 3 types
of cheese, and 4 types of bread to choose from. Each sandwich was made with one slice of meat, one
slice of cheese, and one type of bread.
Types of Meat
Turkey
Chicken
Ham
Types of Cheese
American
Swiss
Provolone
Types of Bread
White
Wheat
Rye
Pumpernickel
Which is the number of different combinations of 1 meat, 1 cheese, and 1 type of bread?
 A. 10
 B. 13
 C. 36
 D. 64
456. Jan entered a drawing for a dirt bike 5 times. The contest sponsors received 150 entries.
Which is the probability that Jan will win the dirt bike?
 A. 1/150
 B. 1/50
 C. 1/30
 D. 1/5
455. There are 9 packages: 5 red and 4 green. There are calculators inside 4 of the red packages and
inside 2 of the green packages.
Which is the probability of choosing a package containing a calculator from the entire group of
packages?
 A. 4/5
 B. 2/3
 C. 1/2
 D. 4/9
460. Sarah and Tom belong to a soccer league that has 8 teams. Each team will play all of the other
teams twice.
Which is the number of games that will be played in all?
 A. 16
 B. 28
 C. 56
 D. 64
472. A contractor is building 5 different model homes on 5 adjacent lots on one side of a street. The
contractor builds 1 house on each lot.
Which is how many different arrangements of 5 houses are possible?
 A. 120
 B. 60
 C. 25
 D. 10
475. The words “mathematics” and “algebra” are written on cards with one letter on each card. One
card is drawn at random,
Which is the probability that the card will have an “a” on it?
2
9
2
 B.
11
1
 C.
12
4
 D.
19
 A.
471. A person drawing a blue marble at random from a bag containing 3 red and 2 blue marbles is
similar to the probability of a basketball player attempting to make free throws.
Which probability is similar to the next free throw of a basketball player shooting free throws?
 A. 1 out of 2 shots
 B. 2 out of 3 shots
 C. 2 out of 5 shots
 D. 3 out of 5 shots
518. One of the banks in Key West is moving to a new office building. The floor plan of the new
location is shown below. All of the offices around the perimeter of the building have windows. The
three corner offices have been assigned to managers, and a random drawing will be used to assign the
remaining offices.
FLOOR PLAN
Which is the probability of the next person being assigned an office with a window?
 A. 8 to 4
 B. 4 to 8
 C. 11 to 4
 D. 4 to 11
453. The table shows the number of gallons of paint sold at a paint store each week in one month.
Week
1
2
3
4
Average Number
of Gallons Sold
235
412
357
286
Which is the MEAN number of gallons of paint sold each week at this store?
 A. 321.5
 B. 177.0
 C. 260.5
 D. 322.5
343. Aaron measured the heights of his plants. The heights, in inches, are shown.
10, 11, 13, 15, 17, 18, 19, 20, 20, 23, 25, 27
Which is the value of the lower quartile?
O A.
14.0 inches
O B.
18.5 inches
O C.
21.5 inches
O D.
20.0 inches
432. 32. Barbara kept a record of the number of books that she and her friends read during the
school year. The table shows her results.
Books Read by Barbara and her Friends During the School Year
Name
Number of Books
Barbara
16
Devon
20
Juan
11
Sharon
6
Tameka
12
Which is the mean number of books read by Barbara and her friends?
 A. 11
 B. 12
 C. 13
 D. 14
433. Jason listed how many minutes he spent walking Mrs. Overbrook’s poodle over four days. The
table shows his results.
Number of Minutes Jason Spent Walking Mrs. Overbrook’s Poodle
Day
Time (minutes)
Monday
33
Tuesday
32
Wednesday
28
Thursday
33
Which is the mean of the number of minutes Jason spent walking the poodle during these four days?
 A. 30.0
 B. 31.5
 C. 32.5
 D. 33.0
464. If the range of a set of data is 110 and the lowest number in the data set is 98.
Which is the greatest number of that data set?
 A. 104
 B. 110
 C. 198
 D. 208
465. The average weight of 50 prize-winning tomatoes is 2.36 pounds.
Which is the combined weight, in pounds, of these 50 tomatoes?
 A. 11.8
 B. 52.4
 C. 59.0
 D. 118.0
463. A certain company keeps a list of 50 employees and their annual salaries. The salary of the
very highly paid president is then added to this list.
Which statistic is most likely to be approximately the same or nearly the same for the original list and
the new list?
 A. Standard deviation
 B. Range
 C. Mean
 D. Median
289. Emma has bowled 9 games this season. Her average score is 198.
Which is the lowest score she must bowl in her next game so that her average score for all 10 games
will be 200?
O A.
202
O B.
208
O C.
212
O D.
218
315. The four identical scatter plots show the average monthly sales made by each of seventeen
salespersons, together with his or her years of service to the company.
In which scatter plot does the line drawn represent a fitted line for that data?
443. As part of a community project, Bill and Nancy surveyed the students at school to determine the
percent of students who purchase name-brands or generic brands.
Which is the percent of students who choose generic brands?
 A. 15
 B. 14
 C. 17
 D. 16
444. The table shows test scores for a class.
Test Scores for a Class
Which is the number of students who scored in the 80’s?
 A. 2 students
 B. 6 students
 C. 7 students
 D. 9 students
445. 3. This stem and leaf plot shows the height of several trees.
Height in Feet and Inches
of Several Trees
5
6
6
6
6, 7, 8, 9, 9
0, 0, 0
1, 1
4
Which is the number of trees that are LESS than 6 feet tall?
 A. 3
 B. 4
 C. 5
 D. 8
446. The price of a hamburger increased during the mid- to late 1980’s. The graph shows the price
of a hamburger from 1985 through 1990.
Which is the number of times the yearly increase of the price of a hamburger exceeded $0.10?
 A. One
 B. Two
 C. Three
 D. Four
447. The graph shows the time of travel by pupils from home to school.
Which is the number of students who must travel for MORE than 10 minutes?
 A. 2
 B. 5
 C. 7
 D. 8
448.
6. The graph shows the humidity in a room as recorded on a certain morning.
Which is the number of times between 6:00 a.m. and 12:00 noon the humidity was exactly 20
percent?
 A. One
 B. Two
 C. Three
 D. Four
201. The graph represents the cost of shipping a package.
Which is the closest to the difference in cost of shipping 2 five-pound packages rather than to
shipping 1 ten-pound package?
 A.
$1.00
 B.
$2.00
 C.
$8.00
 D.
$11.00
252. The graph models p, the weekly profit of the Delta Blues Bowling Alley, based on n bowlers
per week.
Which value is CLOSEST to the profit for a week in which 600 people bowled?
O A.
$1200
O B.
$2000
O C.
$3200
O D.
$4400
256. During the summer, Gwenda earns $6.00 per hour when she baby-sits and $7.50 per hour when
she works in her aunt’s office. She wants to earn at least $200.
Which statement is NOT justified by the graph?
O A.
If she baby-sits for 35 hours, she will reach her goal.
O B.
If she does office work for 5 hours and baby-sits for 20 hours, she will reach her
goal.
O C.
If she does office work for 20 hours, and baby-sits for 15 hours, she will reach her
goal.
O D.
If she does office work for 30 hours, she will reach her goal.
285. Laura needs to buy chips and soda for the guests at her party. Each large bag of chips costs
$2.40 and each large bottle of soda costs $2.00. She has $48.00 to spend.
Which graph represents the number of bags of chips and bottles of soda that Laura can buy?
O A.
O C.
O B.
O D.
298. The chart shows the number of students enrolled annually at a local college over a 9-year
period. The trend shown in these data is expected to continue for five more years.
Which is the best prediction of the number of students enrolled in the year 11?
O A. 6732
O B. 6972
O C. 7211
O D. 7451
313. For a research project, students were asked to memorize a list of words. After different lengths
of time, the students were asked to recite the words on the list. The graph models the average percent
of words that students remembered after different lengths of time.
In which time interval did the percent of words that the students remembered decrease by the largest
percent?
O A.
Between minutes 0 and 2
O B.
Between minutes 3 and 5
O C.
Between minutes 9 and 11
O D.
Between minutes 13 and 15
325. A biologist placed 100 bacteria in a laboratory culture dish. The graph shows the number of
bacteria in the dish after one, two, three, and four hours.
Which is CLOSEST to the number of bacteria in the dish after five hours?
O A.
425
O B.
475
O C.
550
O D.
675
327. John rented a truck for a week to move across the country to his new home. The truck rental
company charged $19.95 per day and an additional $0.25 for each mile the truck was driven. The
graph shows the daily charge for the rental.
Which is CLOSEST to the amount of money John spent on the truck rental for the week?
O A.
$280.00
O B.
$340.00
O C.
$390.00
O D.
$410.00
406. A forester studied a 100 square mile area of a spruce forest in Alaska. The graph shows the
total number of trees infected with spruce bark beetle on the first day of each year from 1991 to 1998.
Trees Infected with Spruce Bark Beetle 1991-1998
Year
Which statement is true?
O A.
The greatest increase occurred from 1991 to 1992?
O B.
The smallest increase occurred from 1993 to 1994?
O C.
The increase was constant throughout the 8 years shown on the graph.
O D.
From 1993 to 1995 there was more than a 100% increase in the number of infected trees.
491. Jeremy collected data on the elevation and highest temperature of eight cities. He organized his
data in a table.
Place
City A
City B
City C
City D
City E
City F
City G
City H
Elevation and Highest Temperature of Eight Cities
Elevation (ft)
Highest Temp (F)
367
136
-178
134
-722
129
622
128
676
120
26
122
72
108
49
59
Which relationship between elevation and highest temperature does Jeremy’s data suggest?
 A. The lower the elevation, the lower the record temperature.
 B. The lower the elevation, the higher the record temperature.
 C. The higher the elevation, the higher the record temperature.
 D. There is no relationship between elevation and record temperature.
509. The scatter plot shows the numbers of calories burned per minute while running, based on a
runner’s body weight.
Which statement best supports the scatter plot?
 A. As body weight increases, the number of calories burned per minute doubles.
 B. As body weight increases, the number of calories burned per minute increases.
 C. As body weight increases, the number of calories burned per minute decreases.
 D. As body weight increases, the number of calories burned per minute remains the same.
519. The graph below shows the number of asthma cases per 100 people in the United States from
1982 to 1994.
Which statement can be supported by this data?
 A. In 1989, approximately 4% of the people in the United States had asthma.
 B. In 1990, between 4% and 5% of the people in the United States had asthma.
 C. Between 1990 and 1991, there was a decrease in the asthma rate for all ages.
 D. Between 1989 and 1990, there was an increase I the asthma rate for all ages.
35. The data in the chart gives the number of student car accidents in the high school parking lot
during six months of the school year.
Which is a conclusion that can be made from the data?
O
A.
The median number of accidents is 6.
O
B.
More students drive to school as the school year goes on.
O
C.
On average, more accidents happened in September and October than in January
and February.
O
D.
On average, more accidents happened in December, January, and February than in
September, October, and November.
39. The data in the table shows the number of hours of sleep per night and grade point average of
seven of Robert’s friends.
Which statement is supported by the data?
O A.
More sleep causes a person to have a higher G.P.A.
O
B.
A higher G.P.A. allows a person to get more sleep
O
C.
In the sample study, sleep and G.P.A. are positively correlated.
O
D.
Schoolwide, sleep and G.P.A. are positively correlated.
462. The graph shows the time taken for a pendulum to swing backwards and forwards 20 times for
different lengths of string. The length of a string is 90 cm.
Which represents how long would it take for the pendulum to swing backwards and forwards 20
times?
 A. 35 seconds
 B. 38 seconds
 C. 42 seconds
 D. 45 seconds
180. A family drinks milk only at breakfast and at dinner. Which graph below best represents the
volume of milk remaining in a gallon jug over a two-day period?
188. Gina did a research project on how age affects sleep patterns. She concluded that as people age,
they sleep fewer hours until a point in adulthood when the number of hours remains constant. Gina
also found that after the age of 70 the amount of time spent sleeping increases slightly.
Which graph best shows the results of Gina’s research?
380. An automobile dealer is analyzing a frequency table identifying the number of vehicles of each
color sold during the last 6 months.
Which measure of data describes the most popular color of vehicle?
O A.
Mean
O B.
Median
O C.
Mode
O D.
Range
381. The manager of a sandwich shop is planning to make a circle graph showing the type of
sandwiches sold in one day. The table summarizes these data. The manager wants to represent the
data in the table as a circle graph.
Sandwiches Sold in One Day
Roast Beef
Turkey-and-cheese
Ham-and-cheese
Vegetable
Other
195
125
75
50
55
Which central angle should the manager use for the section representing the Ham-and-Cheese
sandwich?
O A.
270°
O B.
75°
O C.
54°
O D.
15°
6. It took Myron 90 minutes, at an average rate of 50 miles per hour, to drive home from a business
trip.
Which of the graphs best represents Myron’s drive home?