Probability, Var, Mean

Study Island

Copyright © 2014 Edmentum - All rights reserved.

Generation Date: 03/03/2014

Generated By: Abdullah Khan

Central Tendency and Variability

1. The dot plots below show the number of hummingbirds spotted per day at two different

feeders.

The variability at each feeder is 3.168. The difference between the median number of

hummingbirds spotted per day at each feeder is approximately how many times the variability?

A. 4

B. 2

C. 3

D. 5


2. A health researcher conducted a survey and recorded the percentage of body fat of 20

randomly selected men from two different towns. Ten of the men surveyed were from Pythagoria

and 10 of the men were from Bernoullia. The following statistical information was calculated

from the researcher's findings.

Pythagoria

Bernoullia

First Quartile 12 15

Second Quartile (Median) 16 19.5

Third Quartile 19 25

Based on these samples, what generalization can be made?

A. Not enough information is provided to draw any of these conclusions.

B. The interquartile range of body fat percentages for Pythagoria is less than Bernoullia.

C. At least half of the men from both towns have between 10 and 20 percent body fat.

D. Pythagoria has men with higher body fat percentages than Bernoullia.

Sampling Analysis

3. For a lesson on statistics, the students in a math class counted the number of yellow candies in

10 individual candy bags out of a box of 75 bags. The data is shown below.

16, 10, 10, 15, 20, 10, 15, 20, 16, 10

Based on this statistic, what was the mode of yellow candies for the entire box?

A. 15

B. 14.2

C. 10

D. 20


4. A basketball team plays half of its games during the day and half at night. Ten scores from day

games and ten scores from night games were randomly selected by the team's statistician. The

following statistical information was calculated from the final game scores.

Day

Night

Mean 58 72

Median 46 63

Mode 50 70

Range 21 33


A. The basketball team scored more points in night games than in day games.

B. The basketball team scored more points in day games than in night games.

C. Not enough information is provided to draw any of these conclusions.

D. The basketball team scored the same number of points in day games as night games.

Probability

5. A game requires each player to spin a spinner with four equal sections and roll a die numbered

1 through 6. The sections on the spinner are colored red, blue, green, or yellow. The table below

shows all the outcomes of one spin and one roll.

Outcomes 1 2 3 4 5 6

Red R, 1 R, 2 R, 3 R, 4 R, 5 R, 6

Blue B, 1 B, 2 B, 3 B, 4 B, 5 B, 6

Green G, 1 G, 2 G, 3 G, 4 G, 5 G, 6

Yellow Y, 1 Y, 2 Y, 3 Y, 4 Y, 5 Y, 6

What is the probability of landing on green or yellow and rolling an even number?

A.

B.

C.

D.


6. At a car dealership, the sales records of weekdays and weekends were examined. Ten of the

days examined were weekdays and 10 of them were weekend days. The following statistical

information was calculated from the number of sales made during weekdays and weekends.

Weekday

Sales

Weekend

Sales

Mean 15 18

Median 13 19

Mode 14 21

Range 10 13


A. Less cars were sold on the weekdays than on the weekends.

B. The same number of cars were sold on the weekends as on the weekdays.

C. More cars were sold on the weekdays than on the weekends.

D. Not enough information is provided to draw any of these conclusions.

Sampling Analysis

7. A circus had 36 performances in one year. The entertainment company which owned the

circus analyzed sales receipts for 12 of the performances and recorded the following number of t-

shirt sales.

813, 677, 872, 733, 813, 791, 872, 677, 872, 733, 813, 872

Assuming that the sample was representative of all of the performances, what was the mode of

the number of t-shirts sold at a performance?

A. 813

B. 794.83

C. 872

D. 831.5

Probability

8. Noel is playing a game where he draws one playing card each out of two stacks of 5 cards.

The table below shows all possible sums for the two numbers on the cards.

Sum of Two Cards

Value of Card 1

3 6 7 9 11

Value

of

Card

2

1 4 7 8 10 12

4 7 10 11 13 15

6 9 12 13 15 17

8 11 14 15 17 19

12 15 18 19 21 23

Is Noel more likely to draw two cards with a sum that is a multiple of 3 or two cards with a sum

that is greater than 13?

A. Noel is more likely to draw two cards with a sum that is greater than 13, because .

B. Noel is more likely to draw two cards with a sum that is a multiple of 3, because .

C. Both are equally likely, because .

D. Noel is more likely to draw two cards with a sum that is greater than 13, because .

Probability

9. Kasey is ordering prints of some digital photos. She needs to decide the size, finish, and color

for her prints. The photo options are shown below.

Size Finish Color

4 in × 6 in (1) matte (M) color (C)

5 in × 7 in (2) glossy (G) black and white (B)

8 in × 10 in (3)

11 in × 14 in (4)

Which of the following lists all the possible outcomes for choosing a size, finish, and color for

the prints?

1, M, C 2, M, C 3, M, C 4, M, C

1, M, B 2, M, B 3, M, B 4, M, B

1, G, C 2, G, C 3, G, C 4, B, C

1, G, B 2, G, B 3, G, B 4, C, B

1, M, C 2, M, C 3, M, C 4, M, C

1, M, B 2, M, B 3, M, B 4, M, B

1, G, C 2, G, C 3, G, C 4, G, C

1, G, B 2, G, B 3, G, B 4, G, B

W.

X.

1, M, C 2, M, C 3, G, C 4, M, C

1, M, B 2, M, B 3, G, B 4, M, B

1, G, C 2, G, C 3, G, C 4, G, C

1, G, B 2, G, B 3, G, B 4, G, B

1, M, C 2, M, C 3, M, C 4, M, G

1, M, B 2, M, B 3, M, B 4, M, B

1, G, C 2, G, C 3, G, C 4, G, M

1, G, B 2, G, B 3, G, B 4, G, B

Y.

Z.

A. W

B. X

C. Y

D. Z

Probability

10. Maya drew one highlighter at a time from a container of highlighters. After each draw, the

highlighter was replaced.

Maya recorded the results of 20 draws in the table below.

Draw Result Draw Result Draw Result Draw Result

1 blue 6 purple 11 orange 16 yellow

2 pink 7 orange 12 pink 17 purple

3 purple 8 blue 13 yellow 18 blue

4 orange 9 orange 14 purple 19 orange

5 blue 10 purple 15 orange 20 pink

What is the experimental probability of drawing an orange highlighter?

A.

B.

C.

D.

Sampling Analysis

11. The CEO of a company wanted to know how many cups of coffee his employees drank in a

week. The number of cups of coffee drank by ten people are shown below.

6, 13, 3, 13, 6, 9, 6, 13, 13, 9

Assuming that the sample was representative of the entire company, what was the mean number

of cups of coffee drank per week by an employee in the company?

A. 6.375

B. 9.1

C. 13.5

D. 7.65

Sampling Analysis

12. A street planner randomly selected 15 streets in the downtown area and counted the number

of parking meters on the street, as shown below.

58, 45, 50, 58, 61, 50, 61, 64, 45, 50, 61, 50, 64, 45, 50

Assuming that the sample was representative of all of the streets downtown, what was the mode

of the number of parking meters on a street?

A. 45

B. 50

C. 61

D. 54.13


13. The dot plots below show the number of minutes it took Ellen to drive to work on workdays

in May and June.

The mean absolute deviation for each month is 1.6. The difference between the mode number of

minutes driven to work for each month is approximately how many times the mean absolute

deviation?

A. 3

B. 5

C. 2

D. 4

Probability



Size Finish Color



8 in × 10 in (3)

11 in × 14 in (4)


the prints?

1, M, C 2, M, C 3, M, C 4, M, C

1, M, B 2, M, B 3, M, B 4, M, B

1, G, C 2, G, C 3, G, C 4, B, C

1, G, B 2, G, B 3, G, B 4, C, B

1, M, C 2, M, C 3, M, C 4, M, C

1, M, B 2, M, B 3, M, B 4, M, B

1, G, C 2, G, C 3, G, C 4, G, C

1, G, B 2, G, B 3, G, B 4, G, B

W.

X.

1, M, C 2, M, C 3, G, C 4, M, C

1, M, B 2, M, B 3, G, B 4, M, B

1, G, C 2, G, C 3, G, C 4, G, C

1, G, B 2, G, B 3, G, B 4, G, B

1, M, C 2, M, C 3, M, C 4, M, G

1, M, B 2, M, B 3, M, B 4, M, B

1, G, C 2, G, C 3, G, C 4, G, M

1, G, B 2, G, B 3, G, B 4, G, B

Y.

Z.

A. Z

B. X

C. Y

D. W


15. A wildlife biologist captured and released 26 male whitetail deer from two different forests

and weighed them to the nearest pound. She captured 13 deer from Big Rock forest and 13 deer

from Red River forest. She then calculated the following statistical information.

Big Rock

Red River

First Quartile 151.5 143

Second Quartile (Median) 160 155



A. The interquartile range for Red River forest is greater than the interquartile range for Big

Rock forest.

B. Red River forest has more deer that weigh 160 pounds or more compared to Big Rock

forest.

C. The median is higher for Red River forest than for Big Rock forest.

D. Big Rock forest has more deer that weigh 155 pounds or less compared to Red River

forest.

Probability

16. Which of the following is a true statement?

A. A probability near indicates a likely event.

B. A probability near 0 indicates a likely event.

C. A probability near 1 indicates an unlikely event.

D. A probability near 0 indicates an unlikely event.

Probability

17. Tabitha and her mother went to the pet store. Her mother told her she could either choose a

cat, dog, or fish, and either get a toy for the pet or a book about the pet.

What is the probability that she chooses a four-legged pet and a toy for it?

A.

B.

C.

D.


18. The dot plots below show the prices of used cars sold in one month at two competing car

dealerships.

The variability at each dealership is approximately 1.538 hundred dollars. The difference

between the mean price of used cars sold at each dealership is approximately how many times

the variability?

A. 9

B. 5

C. 4

D. 6


19. At a certain company, the sales records of 30 employees were examined. Fifteen of the

employees were married and 15 of them were not married. The following statistical information

was calculated from the number of sales of each employee chosen.

Married

Unmarried

Mean 113 97

Median 103 105

Mode 94 105

Range 80 84



B. The unmarried employees sold more units than the married employees.

C. The married employees sold more units than the unmarried employees.

D. The married employees sold the same number of units as the unmarried employees.

Sampling Analysis

20. A company was trying to decide how to buy health care for their employees. They surveyed a

random sample of 10 employees and asked them to select the monthly premium they would pay

for a select set of benefits. The amounts they were willing to pay are listed below.

$154, $116, $145, $201, $154, $145, $116, $116, $187, $116

If the sample was representative of the entire company, and the company has 142 employees,

what was the mode of the amount that all of the employees were willing to pay?

A. $145

B. $201

C. $154

D. $116

Probability

21. Connie and Curtis are playing a game by rolling two number cubes with faces numbered 1

through 6. Connie gets a point when the sum of the two numbers face up on the cubes is an odd

number, and Curtis gets a point when the sum of the two numbers is 8 or less. The table below

shows all the possible sums for the two numbers face up on the cubes.

Sum of Two Number Cubes

Is Connie or Curtis more likely to get a point on the first roll?

A. Connie is more likely to get a point, because .

B. Curtis is more likely to get a point, because .

C. Curtis is more likely to get a point, because .

D. They are equally likely to get a point, because .


22. The age at retirement of 30 randomly selected men from two different towns was collected.

Fifteen of the men were from Newtonia and 15 of the men were from Euclidia. The following

statistical information was calculated from the data.

Newtonia

Euclidia

Mean 65 73

Median 60 72

Mode 62 62

Range 50 33


A. The range of retirement ages is greater in Euclidia than in Newtonia.

B. More men retire in Euclidia than in Newtonia.

C. The most common age for retirement in Newtonia is the same as the most common age for

retirement in Euclidia.

D. At least half of the men in both towns will retire before they reach 60 years of age.


23. The dot plots below show the number of gym members who attended two different aerobics

classes over a six-week period. Each class met three times per week.

The variability for each class is 4. The difference between the mean number of gym members for

each class is approximately how many times the variability?

A. 4

B. 5

C. 3

D. 2

Probability

24. Fill in the blank.

A probability near ____ indicates an event that is neither unlikely nor likely.

A.

B.

C.

D.

Sampling Analysis

25. Three students from Milton Middle School are running for class president. A preliminary poll

was taken in three homeroom classes, each with the same number of students. The results are

shown in the table below.

Poll Results

Students Class A % Class B % Class C %

Ian 46 37 45

Jessie 27 29 9

Jeremy 27 34 46

Based on these preliminary results, who could be predicted to win class president?

A. Jeremy

B. Ian

C. cannot predict from these results

D. Jessie


26. A survey was conducted on ice cream sales. An ice cream shop was randomly selected, and

the sales amounts from 12 summer days and 12 spring days were analyzed. The statistics from

the sales of the ice cream shop are shown below.

Spring

Summer

First Quartile $1,900 $2,500

Second Quartile (Median) $2,325 $3,100

Third Quartile $2,800 $3,850



B. At least $2,400 of ice cream was sold for over half the days in spring and summer.

C. More than $2,300 of ice cream was sold for at least half the days in spring and summer.

D. The largest amount of money was made on a summer day.

Sampling Analysis

27. Amy is doing a science experiment on how a certain bacterium reacts to an antibiotic. She

has 3 dishes of identical bacterium samples with 12 bacteria in each dish. She gives an antibiotic

to all of the bacteria in one dish. All of the treated bacteria died, and the bacteria in the other two

dishes survived.

Identify the sample in the situation above.

A. all the bacteria in all 3 dishes

B. all bacteria everywhere

C. the antibiotic

D. all the bacteria in the treated dish


28. At a certain company, the sales records of 30 employees were examined. Fifteen of the

employees were married and 15 of them were not married. The following statistical information

was calculated from the number of sales of each employee chosen.

Married

Unmarried

Mean 113 97

Median 103 105

Mode 94 105

Range 80 84


A. The unmarried employees sold more units than the married employees.

B. Not enough information is provided to draw any of these conclusions.

C. The married employees sold more units than the unmarried employees.

D. The married employees sold the same number of units as the unmarried employees.

Probability

29. Rolando tossed a coin 4 times.

Which of the following is a list of all the possible outcomes with 2 or 3 heads?

HHTT TTHH

HTHT THHH

HTTH HTHH

THHT HHTT

THTH HHHT

HHTT TTHH

HTHT THHH

HTTH HTHT

THHT HHTH

THTH HHHT

HHTT TTHH

HTHT THHH

HTTH HTHH

THHT HHTH

THTH HHHH

HHTT TTHH

HTHT THHH

HTTH HTHH

THHT HHTH

THTH HHHT

W.

X.

Y.

Z.

A. W

B. Y

C. X

D. Z

Sampling Analysis

30. Jim had a collection of 30 state quarters. He poured 10 of them onto the table and noticed the

years that the quarters were produced, as shown below.

2005, 2006, 2008, 2002, 2000, 2000, 2006, 2006, 2005, 2002

Assuming that the sample was representative of the collection, what was the mode of the year

that the quarters were produced?

A. 2005

B. 2006

C. 2008

D. 2000


31. The dot plot below shows the average fuel efficiency of a number of mid-size sedans for a

particular year model.

The variability of each year model's average miles per gallon is 1.68. The difference between the

median miles per gallon for each year model's lineup is approximately how many times the

variability?

A. 3

B. 4

C. 7

D. 6

Probability

32. Seth and Chris are pulling cards from a deck of hearts, numbered 1(Ace) through 5. Their

results are listed below.

Seth

Chris

Pull Card

1

Pull Card

1

Pull Card

5

2

3

4

2

3

4

6

7

8

Whose experimental probability is closer to the theoretical probability of pulling out a card with

an even number on it?

A. Seth

B. They are the same.

C. Chris

D. Neither

Probability

33. Dorian has two bags. Each bag has the letters A, B, and C written on little pieces of paper

inside of it. He draws one letter from each bag.

What is the probability that he draws out a vowel and a consonant?

A.

B.

C.

D.

Sampling Analysis

34. The venue for an outdoor summer concert was divided into 35 sections. The event planner

randomly chose 8 sections and counted the number of ice chests in the section, as shown below.

35, 57, 24, 74, 57, 35, 24, 57

Assuming that the sample was representative of the entire venue, what was the mean number of

ice chests in a section?

A. 46

B. 47.5

C. 45.375

D. 57

Probability

35. Samantha and Jeanie are each rolling a six-sided die with the numbers 1 through 6. They are

trying to see who can roll the most number of odd numbers. Their rolls are in the tables below.

Samantha

Jeanie

Roll Number

1

2

3

4

Roll Number

1

2

3

4

5

6

7

8

Roll Number

9

10

11

12

13

14

15

16

Whose experimental probability is closer to the theoretical probability of rolling an odd number?

A. Neither

B. Samantha

C. They are the same.

D. Jeanie

Probability

36.

If the spinner above is spun 160 times, predict the number of times the spinner would land on

Section C.

A. The spinner would land on Section C roughly 40 times, but probably not exactly 40 times.

B. The spinner would land on Section C roughly 20 times.

C. The spinner would land on Section C roughly 16 times, but probably not exactly 16 times.

D. The spinner would land on Section C exactly 40 times.

Sampling Analysis

37. Which of these is an example of a non-random sample?

A. A farmer is choosing grains of wheat from a field to test for a new flavor of cereal.

B. Ten college students at a college, population 50,000, are chosen to taste test a new cereal.

C. A cereal company surveys their employees about breakfast food preference.

D. A cereal company puts a winning ticket in one box of cereal out of 100,000 boxes.

Probability

38. Tyrone randomly drew pieces of paper numbered 10 through 50 out of a bowl. After he drew

each piece of paper, he recorded the number, returned the piece of paper to the bowl, and then

drew the next piece of paper. His results are recorded in the stem-and-leaf plot below.

1

1 1 2 3 4 4 5 7 8

2 0 1 2 2 2 3 4 6 8 9

3 0 0 1 2 3 4 5 5 6 7 9 9

4 3 4 4 5 6 7 8 8 9

Key: 1

6 represents 16

Based on the information in the stem-and-leaf plot, what is the experimental probability that a

piece of paper randomly drawn from the bowl will have the number 35 written on it?

A.

B.

C.

D.


39. A forester measured the diameter of 20 randomly selected pine trees from two different

forests in inches. He measured the diameter of 10 trees in Pebble Brook forest and 10 trees in

Piney Woods forest. He then calculated the following statistical information.

Pebble Brook

Piney Woods


Second Quartile (Median) 38 27.5



A. The first quartile of diameters is less for the trees in Pebble Brook than in Piney Woods.

B. The median of diameters is greater for the trees in Piney Woods than in Pebble Brook.

C. The third quartile of diameters is greater for the trees in Pebble Brook than in Piney

Woods.

D. The interquartile range of diameters is greater for the trees in Piney Woods than in Pebble

Brook.


40. A wildlife biologist captured and released 26 male whitetail deer from two different forests

and weighed them to the nearest pound. She captured 13 deer from Big Rock forest and 13 deer

from Red River forest. She then calculated the following statistical information.

Big Rock

Red River

First Quartile 151.5 143




A. Big Rock forest has more deer that weigh 155 pounds or less compared to Red River

forest.

B. The interquartile range for Red River forest is greater than the interquartile range for Big

Rock forest.

C. The median is higher for Red River forest than for Big Rock forest.

D. Red River forest has more deer that weigh 160 pounds or more compared to Big Rock

forest.

Sampling Analysis

41. The seventh grade class at a school had 265 students. The nurse called in a random sample of

10 students to measure their heights in inches, as shown below.

62, 52, 65, 66, 62, 49, 52, 49, 62, 65

If the sample was representative of the entire seventh grade, what was the mode of the heights of

the seventh grade class?

A. 62 inches

B. 55.5 inches

C. 58.4 inches

D. 57 inches

Sampling Analysis

42. Bill stood outside the mall and asked every fourth person to enter the mall for their favorite

sport. There were four choices: football, baseball, basketball, and other. Bill surveyed a total of

53 people. Of those surveyed, 11 said football is their favorite, 14 said baseball is their favorite,

13 said basketball is their favorite, and 15 said other.

Identify the sample in the situation above.

A. everyone who likes football

B. everyone entering the mall

C. everyone who likes basketball

D. every fourth person entering the mall

Probability

43. Which of the following is a true statement?

A. With probability, larger numbers indicate equal likelihood.

B. With probability, larger numbers indicate greater likelihood.

C. With probability, smaller numbers indicate greater likelihood.

D. With probability, smaller numbers indicate equal likelihood.


44. The morning and afternoon art classes made fans using peacock feathers. The dot plots below

show the number of feathers used by students in the two classes.

The mean absolute deviation for each class is 1.5. The difference between the mode number of

feathers used by students for each class is how many times the mean absolute deviation?

A. 7

B. 4

C. 3

D. 6

Sampling Analysis

45. Selma wants to know if seventh grade students prefer to do their math homework in silence

or with background music. She polled the 30 students in her music class. Ten students preferred

to do their math homework in silence, and twenty students preferred to do their math homework

with background music.

Identify the population in the situation above.

A. all seventh grade students

B. students who prefer to do math homework with background music

C. students who have math homework

D. students in Selma's music class

Probability

46. There are 10 contestants left in a television competition where the contestants complete

weekly challenges. For the next challenge, each contestant will be paired with one of the other

contestants. Which diagram shows all the possible combinations of the contestants?

W.

X.

Y.

Z.

A. X

B. Y

C. W

D. Z


47. A survey was conducted on ice cream sales. An ice cream shop was randomly selected, and

the sales amounts from 12 summer days and 12 spring days were analyzed. The statistics from

the sales of the ice cream shop are shown below.

Spring

Summer





A. The largest amount of money was made on a summer day.

B. At least $2,400 of ice cream was sold for over half the days in spring and summer.

C. Not enough information is provided to draw any of these conclusions.

D. More than $2,300 of ice cream was sold for at least half the days in spring and summer.

Sampling Analysis

48. The school district designed a district wide end-of-course exam for math. Last year, 378

students took the exam. A random sample of exam scores, shown below, were chosen to

represent the entire group.

80, 91, 64, 80, 64, 80, 74, 91, 91, 66, 74, 91, 74, 74, 64, 80

Assuming that the sample was representative of all of the exam scores, what was the mean exam

score for all the end-of-course exams?

A. 77.375

B. 75

C. 77

D. 77.5

Probability

49.

If the die above is rolled 120 times, predict the number of times it would land on an even

number.

A. The die would land on an even number roughly 40 times, but probably not exactly

40 times.

B. The die would land on an even number roughly 30 times.

C. The die would land on an even number exactly 60 times.

D. The die would land on an even number roughly 60 times, but probably not exactly

60 times.


50. A government agency conducted energy research on two different towns. The agency

selected 12 homes from each town and recorded the number of kilowatt-hours used by the homes

over a one-year period. The following statistical information was calculated from their findings.

Jacobia

Cantorville

Mean 11,178 11,613

Median 11,653 11,572

Mode 11,705 11,050

Range 2,137 2,188


A. Cantorville used more kilowatt-hours than Jacobia.

B. Both towns used the same number of kilowatt-hours.

C. Jacobia used more kilowatt-hours than Cantorville.

D. Not enough information is provided to draw any of these conclusions.


51. A survey was conducted on the salaries of 20 randomly selected college graduates with

degrees in the same subject area. Each person surveyed graduated within the same 5-year period.

Ten of the people surveyed attended a private university, while the other 10 people surveyed

attended a public university of roughly the same size.

Private

Public




Based on the samples, what generalization can be made?

A. The top twenty-five percent of both the private and public university graduates surveyed

earned more than $50,000 annually.

B. The interquartile range for private universities is $27,000 more than for public universities.

C. The top ten percent of both the private and public university graduates surveyed earned

more than $60,000 annually.

D. The interquartile range for public universities is $19,000 more than for private universities.

Sampling Analysis

52. Josh works for MooMoo Milkshakes. The company wants to know what milkshake flavor is

the most popular. Today, he surveyed every third female customer on their favorite milkshake

flavor. Nineteen customers (out of 64 total) were surveyed, and 8 customers prefer

MooChooChocolate, 5 customers prefer VeryStrawberry, and 6 customers prefer

BananaBoBanna.

Identify the population in the situation above.

A. every third customer

B. every female customer

C. MooMoo Milkshakes customers

D. every third female customer


53. At a middle school campus, the number of text messages sent by males and females were

analyzed. Twelve random female students and 12 random male students were asked how many

text messages they sent that day. The following data was calculated from the number of text

messages sent during the day for males and females.

Females

Males

Mean 112 99

Median 68 52

Mode 78 78

Range 84 76



B. A female sent the most number of text messages out of both groups.

C. The modes of text messages sent by both males and females are the same.

D. Males sent more total text messages than females.

Probability

54. Fred has a spinner that is split into four equal sections: red, blue, green, and yellow. Fred

spun the spinner 904 times. Which of the following would be a good estimate of the number of

times the spinner lands on the green section?

A. 243

B. 452

C. 377

D. 819

Sampling Analysis

55. Josh works for MooMoo Milkshakes. The company wants to know what milkshake flavor is

the most popular. Today, he surveyed every third female customer on their favorite milkshake

flavor. Sixteen customers (out of 54 total) were surveyed, and 7 customers prefer

MooChooChocolate, 5 customers prefer VeryStrawberry, and 4 customers prefer

BananaBoBanna.

What type of sampling is demonstrated in the situation above?

A. random sampling

B. census

C. negative sampling

D. convenience sampling

Probability

56.

What is the probability of the spinner landing on green?

A.

B.

C.

D.


57. The dot plots below show the numbers sold of a new menu item at two restaurant locations

each day in June.

The variability at each restaurant location is 1.76. The difference between the mode number of

new menu items sold per day at each location is approximately how many times the variability?

A. 6

B. 7

C. 4

D. 5

Sampling Analysis

58. Which of these is an example of a non-random sample?

A. At a school assembly, five students are randomly chosen to receive free admission to a

theme park.

B. Airline passengers to Orlando, Florida, are asked about vacation plans.

C. Out of all the seventh grade students in a public school district, fifteen are chosen to win a

trip to a vacation destination.

D. Registered voters in Arizona are surveyed to determine if they have relatives in Florida.

Probability

59. Thirty slips of paper, numbered 1 to 5, are placed in a paper bag. One slip of paper is drawn

at random.

What is the probability of drawing a two?

A.

B.

C.

D.

Sampling Analysis

60. Which of these is an example of a random sample?

A. A phone plan company surveys people on the beach to see how well they are receiving

service, and uses this information in future advertising.

B. Every twentieth caller to an independent radio station receives tickets to a concert.

C. Customers buying a new cell phone are surveyed about cell phone plans.

D. A phone survey is conducted using twenty names randomly taken from the phone book.

Probability

61. Pancho randomly drew playing cards one by one from a deck. After each draw, the suit of the

card was recorded, and then the card was returned to the deck before the next card was drawn.

His results are recorded below.

Playing Cards

Suit Number in Deck Number Drawn

Clubs

Hearts

Diamonds

Spades

What is the experimental probability that a card randomly drawn from the deck will be a

diamond?

A.

B.

C.

D.

Probability

62. Jordan flipped a coin 234 times. Which of the following would be a good estimate of the

number of times the coin landed on heads?

A. 184

B. 102

C. 42

D. 217


63. The dot plots below show the number of pages Mandee read per day for two books in a

series.

The mean absolute deviation for each book is 1.25. The difference between the median number

of pages read per day for each book is how many times the mean absolute deviation?

A. 5

B. 2

C. 4

D. 3

Sampling Analysis

64. A city council conducted a survey on speed bumps to see what residents preferred. The

council asked every resident in one particular neighborhood what his or her preferences were.

Were the results of the city council's survey valid?

A. No, because neighborhoods do not have speed bumps.

B. Yes, because every resident in a neighborhood was surveyed.

C. No, because the sample was not random.

D. Yes, because the neighborhood surveyed wanted speed bumps.

Probability



Size Finish Color



8 in × 10 in (3)

11 in × 14 in (4)


the prints?

1, M, C 2, M, C 3, M, C 4, M, C

1, M, B 2, M, B 3, M, B 4, M, B

1, G, C 2, G, C 3, G, C 4, B, C

1, G, B 2, G, B 3, G, B 4, C, B

1, M, C 2, M, C 3, M, C 4, M, C

1, M, B 2, M, B 3, M, B 4, M, B

1, G, C 2, G, C 3, G, C 4, G, C

1, G, B 2, G, B 3, G, B 4, G, B

W.

X.

1, M, C 2, M, C 3, G, C 4, M, C

1, M, B 2, M, B 3, G, B 4, M, B

1, G, C 2, G, C 3, G, C 4, G, C

1, G, B 2, G, B 3, G, B 4, G, B

1, M, C 2, M, C 3, M, C 4, M, G

1, M, B 2, M, B 3, M, B 4, M, B

1, G, C 2, G, C 3, G, C 4, G, M

1, G, B 2, G, B 3, G, B 4, G, B

Y.

Z.

A. W

B. X

C. Y

D. Z

Probability

66. The probability of randomly selecting a name starting with the letter T from a bowl of 26

names is . Which of the following describes the likelihood of selecting a name starting with

the letter T?

A. likely

B. neither unlikely nor likely

C. unlikely


67. The dot plots below show the number of flags sold each day at two stores last month.

The variability at each store is 2.4. The difference between the mean number of flags sold at each

store is approximately how many times the variability?

A. 2

B. 4

C. 5

D. 3


68. A survey was conducted on the salaries of 30 randomly selected households in two different

cities. Fifteen of the people surveyed resided in Cartisia, while the other 15 resided in

Pascalville.

Cartisia

Pascalville






B. At least half of the household incomes in both towns are $50,000 or greater.

C. The median in Cartisia is $18,000 more than in Pascalville.

D. At least half of the household incomes in both towns are $50,000 or less.

Sampling Analysis

69. An airplane company flies 36 airplanes daily. The CEO collects the following passenger

counts for a random sample of airplanes from the fleet, as shown below.

103, 148, 167, 96, 167, 103, 148, 103, 167, 96

Assuming that the sample is representative of the entire fleet of airplanes, what would be the

mean daily passenger count per plane?

A. 129.8

B. 139.4

C. 103

D. 125.5

Probability

70. Fred is going to flip one coin four times and record whether it lands on heads or tails for each

flip. The list below shows the possible outcomes for each of the four flips.

H H H H H H H T H H T T H T T T

T H H H T T H H T T T H T T T T

H T H T T H T H T H H T H T T H

H H T H T T H T T H T T H T H H

What is the probability of flipping two tails and two heads?

A.

B.

C.

D.

Sampling Analysis


A. The five people seated on the first row at the circus are asked their opinion about the

animal acts.

B. Henry asks five of his friends to fill out a survey to find out their favorite musicians.

C. The five employees who work the late shift answer questions about management.

D. Five employees out of 2,000 are chosen randomly to complete an anonymous survey.

Probability

72. Fill in the blank.

The probability of a chance event is a number between 0 and ___ that expresses the likelihood of

the event occurring.

A.

B.

C.

D.

Sampling Analysis

73. Three different clothing stores in different parts of a city recorded the number of swimsuits

they sold for four months.

Swimsuit Sales

Month # Sold

June 239

July 224

Aug 189

Sept 157

Month # Sold

June 289

July 241

Aug 174

Sept 105

Month # Sold

June 212

July 249

Aug 196

Sept 152

Based on these results, how many swimsuits should clothing stores in the same city predict to

sell in October?

A. cannot predict from these results

B. more swimsuits than September

C. less swimsuits than September

D. the same number of swimsuits as September


74. The dot plots below show the number of apples in 5-pound bags at two different stores.

The variability at each store is 1.6. The difference between the mean number of apples per bag at

each store is approximately how many times the variability?

A. 2

B. 4

C. 5

D. 3


75. The dot plots below show the number of students present in Mr. King's first and second

period classes each day in April.

The mean absolute deviation for each class period is 1.4. The difference between the mode

number of students present for each class period is how many times the mean absolute deviation?

A. 5

B. 4

C. 6

D. 7

Probability

76. Rolando tossed a coin 4 times.

Which of the following is a list of all the possible outcomes with 2 or 3 heads?

HHTT TTHH

HTHT THHH

HTTH HTHH

THHT HHTT

THTH HHHT

HHTT TTHH

HTHT THHH

HTTH HTHT

THHT HHTH

THTH HHHT

HHTT TTHH

HTHT THHH

HTTH HTHH

THHT HHTH

THTH HHHH

HHTT TTHH

HTHT THHH

HTTH HTHH

THHT HHTH

THTH HHHT

W.

X.

Y.

Z.

A. Y

B. X

C. Z

D. W


77. A fitness expert was doing research on football teams. He randomly selected 10 players from

a college team and 10 players from a professional team. The players were weighed and the

statistics are shown below.

College

Professional





A. The median weight of the college players is greater than the median weight of the

professional players.


C. The median weight of the professional players is greater than the median weight of the

college players.

D. Out of the college and professional players, the professional players have the heaviest

player.


78. A certain college randomly selected 30 freshman students who completed college algebra

during their first semester. Fifteen students were chosen from students who took the course at

night and 15 students were chosen from students who took the course during the day. The

following statistical information was calculated from their final grades.

Day

Night

Mean 76 68

Median 68 72

Mode 64 72

Range 38 53

Based on these samples, what generalization can be made? (Assume that a score of 70 or greater is a

passing score.)

A. The mean score for the day students was higher than the mean score for the night students.

B. The range of scores was larger for the day students than for the night students.

C. The mean score for the night students was higher than the mean score for the day students.

D. The median score for the day students was higher than the median score for the night

students.

Sampling Analysis


or with background music. She polled the 27 students in her music class. Nine students preferred

to do their math homework in silence, and eighteen students preferred to do their math

homework with background music.

Is there a sampling bias in the situation above?

A. No. Selma picked a completely random sample for her study.

B. Yes. Students in the music class will probably enjoy listening to music more than other

students.

C. Yes. Selma is only curious about 7th grade students, but 6th grade students may prefer

background music too.

D. There is not enough information.


80. A certain college randomly selected 30 freshman students who completed college algebra

during their first semester. Fifteen students were chosen from students who took the course at

night and 15 students were chosen from students who took the course during the day. The

following statistical information was calculated from their final grades.

Day

Night

Mean 76 68

Median 68 72

Mode 64 72

Range 38 53

Based on these samples, what generalization can be made? (Assume that a score of 70 or greater is a

passing score.)

A. The mean score for the day students was higher than the mean score for the night students.

B. The range of scores was larger for the day students than for the night students.

C. The median score for the day students was higher than the median score for the night

students.

D. The mean score for the night students was higher than the mean score for the day students.

Probability

81. Emilio has 4 red buttons, 1 green button, and 2 black buttons in a jar. Which list shows all the

possible unique outcomes if Emilio chooses 3 buttons at one time from his jar? (Note: One

outcome is shown per row in the tables.)

W.

X.

Y.

Z.

A. Y

B. W

C. X

D. Z


82. Mrs. Higgins' Home Economics class collected data on the number of chocolate chips in

cookies for two different brands, as shown in the dot plots below.

The mean absolute deviation for each brand is 0.8. The difference between the mean number of

chocolate chips for each brand is approximately how many times the mean absolute deviation?

A. 5

B. 6

C. 7

D. 3

Sampling Analysis


A. A sports store asks customers whether or not they enjoy basketball.

B. Three audience members are randomly chosen to participate in a halftime shoot-out at a

basketball game.

C. One of the three best basketball players on a team are randomly chosen for a basketball

shoot out.

D. At a team owners meeting, three people are surveyed to determine the percent of the

population who enjoy basketball.


84. Sammy conducted an experiment which consisted of spinning two spinners. Spinner 1 had

sections numbered 8 to 14, and spinner 2 had sections numbered 1 to 7. The results are recorded

in the dot plots below.

The mean absolute deviation for each spinner is 1.75. The difference between the median result

for each spinner is how many times the mean absolute deviation?

A. 5

B. 4

C. 2

D. 3

Probability

85. The probability of randomly selecting a female from a group of 25 elementary school

teachers is . Which of the following describes the likelihood of selecting a female

elementary school teacher?

A. neither unlikely nor likely

B. unlikely

C. likely

Probability

86. Elliott used a random number generator to perform a probability experiment. The numbers

generated are recorded in the stem-and-leaf plot below.

6

1 2 2 3 4 5 5 6 7 8

7 0 1 1 2 3 3 3 5 7 8 9

8 0 1 2 3 4 4 5 6 9

9 1 2 3 4 5 6 7 7 8 8

10 0 0 1 2 3 3 4 5 6 8 9

Key: 6

1 represents 61

Based on the information in the stem-and-leaf plot, what is the experimental probability that the

next number generated will be 73?

A.

B.

C.

D.

Sampling Analysis

87. On the opening day of a new movie, 213 people attended the premier. The manager surveyed

8 random people as they left the theater. He asked them to rate the movie on a scale of 1 to 10.

Their ratings are below.

9, 2, 3, 9, 3, 6, 9, 6

Assuming that the sample was representative of the entire audience, what was the mean rating of

the movie for the entire audience?

A. 6

B. 4.375

C. 8

D. 5.875

Sampling Analysis

88. A restaurant has 47 main dishes on their menu and lists the calorie count for each. The

calories for the dishes that five friends randomly choose from the menu are listed below.

Menu Items

Dish Number of Calories

Fish Burger 1,374

Chicken Blaze 1,464

Dessert for Dinner 1,270

Beef Lasagna 1,374

Cheese Bliss 1,501

Assuming that the sample is representative of the entire menu, what is the mean number of

calories per main dish?

A. 1,419

B. 1,402.25

C. 1,464

D. 1,396.6


89. A wildlife biologist catches and releases 20 fish from two different lakes at random locations.

He catches 10 fish at Lake Palmer and 10 fish at Lake Dalton. He measures the length of each

fish to the nearest quarter of an inch.

Palmer

Dalton

First Quartile 6.75 5.5

Second Quartile (Median) 10.25 6.75

Third Quartile 13 7.5


A. The interquartile range for Lake Dalton is 2 inches greater than the interquartile range for

Lake Palmer.


C. At least 25 percent of the fish in both lakes are no longer than 6 inches.

D. The first quartile value at Lake Palmer is 1.25 inches longer than the first quartile value at

Lake Dalton.

Sampling Analysis

90. A botanist grew a variety of hibiscus with spots on the petals. Below is a list of the number of

spots on a random sample of flowers.

8, 12, 4, 12, 8, 10, 5, 5, 8, 5, 5

Assuming that the sample was representative of all of the flowers, what was the mode of the

number of spots on a flower?

A. 5

B. 7.45

C. 10

D. 8

Probability

91. Portia drew lollipops randomly from a bag one by one. After each draw, she recorded the

flavor of the lollipop, then she returned the lollipop to the bag, and then she drew the next

lollipop. Her results are recorded below.

Lollipops

Flavor Number Drawn

cherry

grape

blue raspberry

sour apple

orange

What is the experimental probability that a lollipop randomly drawn from the bag will be orange-

flavored?

A.

B.

C.

D.

Sampling Analysis


or with background music. She polled the 27 students in her music class. Nine students preferred

to do their math homework in silence, and eighteen students preferred to do their math

homework with background music.

Identify the sample size in the situation above.

A. 9

B. There is not enough information.

C. 27

D. 18

Sampling Analysis

93. A movie theater conducted a survey to see what customers preferred at the concession stand.

The theater asked every fifth person who entered the movie theater every Friday for a month

what his or her favorite movie snack was. Were the results of the survey valid?

A. No, because the theater did not survey everyone in the theater.

B. Yes, because the theater surveyed a random sample.

C. Yes, because the theater only surveyed children.

D. No, because the theater did not use a random sample.

Sampling Analysis

94. Bill stood outside the mall and asked every fourth person to enter the mall for their favorite

sport. There were four choices: football, baseball, basketball, and other. Bill surveyed a total of

52 people. Of those surveyed, 11 said football is their favorite, 15 said baseball is their favorite,

12 said basketball is their favorite, and 14 said other.

Is there a sampling bias in the situation above?

A. Yes, people who go to the mall probably like baseball.

B. Yes, people who go to the mall probably like football.

C. No, there is no relationship between sports and going to the mall.

D. There is not enough information.

Sampling Analysis

95. In one day, 8,445 families visited a theme park. Tori asked eight random families the amount

that they spent and recorded the information in the table below.

Theme Park Spending

Family Amount Spent ($)

1 202

2 111

3 164

4 202

5 79

6 202

7 79

8 164

Assuming that the sample was representative of the daily amount spent by all the families, what

was the approximate mean daily amount spent at the park?

A. $95.00

B. $202.00

C. $143.00

D. $150.38

Sampling Analysis

96. A store had 25 containers of trail mix on the shelf. Logan bought five containers. The table

below shows the number of pretzels in each of the containers.

Sample of Trail Mix

Container Number of Pretzels

A 17

B 20

C 11

D 20

E 13

Based on this sample, what was the mode of all of the containers?

A. 17

B. 20

C. 11

D. 16.25

Probability

97. Jayme, Lissa, and Drew each have their name written on a piece of paper in a bowl. One

name is drawn at a time from the bowl. After each draw, the name was replaced.

The results of 15 draws are recorded in the table below.

Draw Result Draw Result Draw Result

1 Jayme 6 Lissa 11 Jayme

2 Drew 7 Jayme 12 Drew

3 Lissa 8 Drew 13 Lissa

4 Drew 9 Lissa 14 Jayme

5 Jayme 10 Jayme 15 Lissa

What is the experimental probability of drawing Drew's name?

A.

B.

C.

D.


98. The age at retirement of 30 randomly selected men from two different towns was collected.

Fifteen of the men were from Newtonia and 15 of the men were from Euclidia. The following

statistical information was calculated from the data.

Newtonia

Euclidia

Mean 65 73

Median 60 72

Mode 62 62

Range 50 33


A. At least half of the men in both towns will retire before they reach 60 years of age.

B. More men retire in Euclidia than in Newtonia.

C. The most common age for retirement in Newtonia is the same as the most common age for

retirement in Euclidia.

D. The range of retirement ages is greater in Euclidia than in Newtonia.

Sampling Analysis

99. A national pizza chain collected data from 150 stores about pizza orders on a busy Saturday.

The number of pizzas ordered from 15 random stores is below.

24, 53, 32, 70, 32, 24, 70, 47, 53, 53, 70, 53, 70, 70, 32

If the sample was representative of the entire chain, what was the mode of the number of pizzas

ordered for all 150 stores?

A. 53

B. 70

C. 47

D. 50.20


100. The dot plots below show the number of hours that part-time employees worked at two

stores last week.

The variability at each store is 1.85. The difference between the mode number of hours worked

per employee at each store is approximately how many times the variability?

A. 5

B. 4

C. 3

D. 6

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