Keystone Review Name: ___________________________

Unit 6 Date: _____________ Period: _______

Unit 6… Data Analysis and Probability (Keystone Review)

Part 6.1 – Tables and Graphs

______ 1) The graph shows the value of a necklace over many years. What is a reasonable estimate of

the value of the necklace in 1982?

A) 970,1$ B) 500,3$ C) 000,4$ D) 000,5$

______ 2) Michael’s math averages for the past five months of school are shown in the line graph.

Which question cannot be answered by looking at the graph?

A) Which month or months did Michael have an average of 85% or better?

B) What is the difference between Michael’s best month and his worst month?

C) What caused Michael’s math average to drop below 80% in December?

D) What is the mean of Michael’s math average from September through January?

______ 3) The circle graph shows the results of a survey on favorite fruit. If the survey included 80

students, how many students chose bananas?

A) 40 B) 20 C) 15 D) 4

1

______ 4) The line plot below shows the number of books individual customers bought at a bookstore

one day.

What was the total number of customers who bought more than 3 books?

A) 4 B) 6 C) 7 D) 10

______ 5) The circle graph shows the favorite sport among students in Rachel’s class. How many

students prefer basketball over soccer?

A) 3 B) 7 C) 8 D) 11

______ 6) Which histogram represents the frequency table below?

Number of Sit-ups Students Can Do in 1 Minute

Number 0 – 9 10 – 19 20 – 29 30 – 39 40 +

Frequency 10 8 9 6 2

A) B)

C) D)

0-9 10-19 20-29

Fre

qu

ency

Number of S it-Ups

30-39 40+

1

2

3

4

5

6

7

8

9

10

11

12

13

Fre

qu

ency

Number of S it-Ups

10 8 9 6 2

1

2

3

4

5

6

7

8

9

10

11

12

13

40+ 30-39 20-29

Nu

mb

er o

f S

it-U

ps

Frequency

10-19 0-9

1

2

3

4

5

6

7

8

9

10

11

12

13N

um

ber

of

Sit

-Up

s

Frequency

2 6 9 8 10

1

2

3

4

5

6

7

8

9

10

11

12

13

______ 7) How many students named either pizza, hamburgers, or tacos as their favorite food?

A) 23 B) 34 C) 41 D) 45

______ 8) Based on the line graph below, decide which statement is true ?

A) Rainfall increased each month.

B) The amount of rainfall was about the same in May and July.

C) The greatest amount of rainfall occurred in June.

D) The amount of rainfall was the same in January and July.

______ 9) The table below shows average salaries for females of different ages with different numbers

of years of education. Based on the table, which statement is false ?

A) As the years of education increase, the average salary increases.

B) As the years of education increase, the average salary decreases.

C) As the age increases, the average salary increases.

D) Average salary is higher for those who graduated from high-school.

______ 10) In which three years did home ownership increase? Use the graph below.

A) 1998,1997,1996 B) 1995,1994,1993

C) 1989,1988,1987 D) 1988,1987,1986

Use the following information and graph to answer questions 11-14.

Australia has the highest incidence of pet ownership in the world, with 66% of households owning a

pet.

______ 11) Which state has the highest total spending on pet care?

A) NSW B) VIC C) QLD D) SA

______ 12) Which two states spent about the same amount of money on “other” pet care?

A) VIC and QLD B) QLD and SA

C) SA and WA D) WA and QLD

______ 13) What is the approximate total expenditure on dog and cat care in SA?

A) $345 million B) $150 million

C) $220 million D) $525 million

______ 14) Which state spent approximately $150 million on cat and other expenditures?

A) VIC B) QLD C) SA D) WA

Part 6.2 – Stem-and-Leaf Plots / Mean, Median, Mode, and Range

______ 15) Using the stem-and-leaf plot below, which statement is not true?

A) Most of the plants are less than 20 inches tall.

B) The median plant height is 11 inches.

C) The range of the plant heights is 35 inches.

D) The plant height that occurs most often is 11 inches.

______ 16) What is the mean of 1 , 5 , 22 , 7 , 18 , 11 and 12 ?

A) 12.1 B) 12.9 C) 11.9 D) 10.9

______ 17) What is the median of 13 , 5 , 22 , 7 , 18 , 11 and 12 ?

A) 11.5 B) 13 C) 12.5 D) 12

______ 18) This set of data includes the scores that James earned on his last 6 math tests. If the lowest

score is dropped, which statement is true?

70,100,95,75,86,90

A) The range will decrease by 10 points.

B) The median score will increase by 2 points.

C) The median score will increase by 5 points.

D) The mean score will decrease by 3.2 points.

______ 19) The table below shows the number of tickets remaining in the first six rows of a theater for

an upcoming concert.

On the day of the concert, the number of remaining tickets in Row A decreases by 1, while

the number of remaining tickets in Row F decreases by 3. What is the effect of these changes

on the mode of the data?

A) The mode decreases by 2.

B) The mode decreases by 1.

C) The mode increases by 2.

D) The mode increases by 1.

______ 20) What is the greatest number in the stem-and-leaf plot?

A) 35.8 B) 402 C) 40.2 D) 42

______ 21) Tamara’s teacher allows students to decide whether to use the mean, median, or mode for

their test averages. Tamara will receive the highest average if she uses the mean. Which set

of test scores are Tamara’s?

A) 96,95,76,82,95 B) 80,83,91,80,79

C) 65,74,75,84,65 D) 81,94,94,87,100

Concert Tickets Remaining

Row Number of Tickets

A 3

B 2

C 4

D 4

E 6

F 5

______ 22) What is the median of the data in the stem-and-leaf plot below?

A) 4.25 B) 254 C) 8.25 D) 258

______ 23) The mean on a set of PSSA scores was 86 and the median was 87. Which is the correct set of

test scores?

A) 86,83,87,81,91,88,93 B) 86,83,81,90,91,82,89

C) 87,88,83,76,93,90,85 D) 86,85,92,79,89,94,84

______ 24) The steam-and-leaf plot lists the ages of your cousins. Which statement is not true?

A) The median is 16.

B) The mode is 16.

C) The range is 28.

D) The youngest cousin is 3.

______ 25) Find the range, mean, median, and mode of the following data set.

15 , 22 , 14 , 3 , 11 , 8 , 3

A) Range = 19 , Mean = 10.9 , Median = 3 , Mode = 3

B) Range = 19 , Mean = 10.9 , Median = 11 , Mode = 3

C) Range = 19 , Mean = 11.9 , Median = 11 , Mode = 3

D) Range = 21 , Mean = 10.9 , Median = 11 , Mode = 14

______ 26) The stem-and-leaf plot shows the ages of 20 people. What percent of people are under 20

years old?

A) %8 B) %10 C) %20 D) %40

______ 27) Your test scores in Algebra 1 so far are 78 , 85 , 72 , and 81. If you want to average at least

an 80, what score do you need on the next test?

A) %80 B) %84 C) %88 D) %82

Use the stem-and-leaf plots below to answer questions # 28 – 32.

______ 28) How many males were in their thirties?

A) 5 B) 6 C) 7 D) 2

______ 29) What percent of females were older than 20?

A) %20 B) %60 C) %80 D) %85

______ 30) How many people were exactly forty-one years old?

A) 1 B) 2 C) 3 D) 6

______ 31) How many males were counted for the plot?

A) 20 B) 45 C) 25 D) 30

______ 32) What percent of people counted were under 30 years old?

A) %40 B) %32 C) %18 D) %36

Part 6.3 – Box-and-Whisker Plots

______ 33) Find the first quartile of the collection of numbers: 6 , 8 , 4 , 10 , 9 , 7 , 8 , 7.

A) 6.5 B) 7.5 C) 8.5 D) 6

______ 34) Which set of numbers is represented by the box-and-whisker plot?

A) 20 , 24 , 15 , 20 , 25 , 18 , 19

B) 19 , 18 , 15 , 23 , 25 , 28 , 30

C) 24 , 22 , 18 , 16 , 29 , 28 , 18 , 20 , 21 , 20 , 19

D) 25 , 23 , 17 , 15 , 19 , 21 , 28 , 28 , 30 , 26

______ 35) Which statement about the box-and-whisker plot is not true?

A) The median is 88.9.

B) The lowest score is 71.4.

C) The upper quartile is 100.2.

D) The range is 55.3.

______ 36) What is the interquartile range of the data in the box-and-whisker plot below?

A) 9 B) 5.12 C) 20 D) 5.21

______ 37) In the box-and-whisker plot below, what percent of the data set fell between 9.5 and 16?

A) %50 B) %25 C) %75 D) %33

______ 38) According to the box-and-whisker plot, what was the lower quartile weight of Frank’s

classmates?

A) 65 B) 75 C) 95 D) 125

______ 39) What was the upper quartile of gallons of paint sold at John’s Hardware Store in a month?

A) 58 B) 60 C) 61 D) 62

______ 40) What is the upper quartile of the numbers 4 , 6 , 7 , 8 , 10 , 12 , 20 ?

A) 8 B) 10 C) 12 D) 20

______ 41) What is the interquartile range?

A) 13 B) 5 C) 4 D) 9

______ 42) According to the box-and-whisker plot, what is the median number of meals served in a day

at Susan’s Diner?

A) 12 B) 27 C) 30 D) 15

______ 43) What was the maximum number of hot dogs eaten in the hot dog eating contest?

A) 3 B) 7 C) 15 D) 18

______ 44) Find the first quartile of the collection of numbers: 1 , 3 , 4 , 9 , 11 , 6 , 5 , 6.

A) 5.3 B) 5.7 C) 5.5 D) 5.6

______ 45) What percent of pumpkins weigh more than 60 pounds?

A) 0 B) 25 C) 50 D) 75

______ 46) Using the box-and-whisker plot below, what is the interquartile range of the gallons of paint

sold at John’s Hardware Store?

A) 8 B) 12 C) 16 D) 28

Part 6.4 – Two-Way Tables

______ 47) Emma has collected information about the cats and dogs that children in her class have as pets.

There are 30 pupils. Using this information, what value would complete the two-way table below?

Has a Dog Does Not Have a Dog

Has a Cat 8 4

Does Not Have a Cat 12 ?

A) 30 B) 16 C) 6 D) 8

______ 48) People leaving a football match were asked if they supported Manchester United or Newcastle.

They were also asked if they were happy. The results are shown in the table below. Using the

table, how many people were surveyed?

Manchester United Newcastle

Happy 40 8

Not Happy 2 20

A) 42 B) 60 C) 70 D) 28

______ 49) The children in a class conducted a survey to find out how many children had a Blu-Ray DVD player

at home and how many had computers at home. Their results are given in the table below. How

many students had neither items at home?

Blu-Ray Player No Blu-Ray Player

Computer 8 2

No Computer 20 3

A) 2 B) 3 C) 20 D) 23

______ 50) The children in a school are to have extra swimming lessons if they cannot swim. The table below

shows information about the children who are in Kindergarten, 1st Grade, and 2nd Grade. How

many children need swim lessons?

Can Swim Cannot Swim

Kindergarten 120 60

1st Grade 168 11

2nd Grade 172 3

A) 74 B) 60 C) 11 D) 3

______ 51) 40 students at Lenape are members of the Doylestown Cycling Club. Details of their bikes are given

below. Each student has one bike each. Fill in the missing value.

Mountain Bike Racing Bike BMX Bike

15-speed 2 0 0

12-speed 8 ? 0

10-speed 1 7 0

1-speed 0 0 15

A) 33 B) 7 C) 8 D) 9

______ 52) The nurse at Doyle Elementary collected information on 484 students about how many of them

wear glasses. Use the table below to determine what percent of students never wear glasses.

Always Wear Glasses

Sometime Wear Glasses

Never Wear Glasses

Boys 40 48 161

Girls 36 55 144

A) %63 B) %7.15 C) %36 D) %3.21

______ 53) During one month, exactly half of the 180 babies born in a hospital were boys and 40 of the babies

weighed 4 kg or more. There were exactly 26 baby boys who weighed 4 kg or more. Which of the

following is the corresponding two way table with regard to this data?

A)

B)

C)

D)

4 kg or more Less than 4 kg

Boys 64 26

Girls 76 14

4 kg or more Less than 4 kg

Boys 26 64

Girls 14 76

4 kg or more Less than 4 kg

Boys 26 14

Girls 64 76

4 kg or more Less than 4 kg

Boys 14 76

Girls 26 64

______ 54) The two-way table below shows the number of hours students studied and whether they studied

independently or with a study group. What is the relative frequency of students that studied

independently for more than 2 hours to the total number of students that studied independently?

Studied Less Than 2 Hours Studied More Than 2 Hours

Studied Independently 12 4

Studied with a Study Group 8 11

A) 4.0 B) 33.0 C) 25.0 D) 11.0

______ 55) A class was surveyed about whether they have been to Canada or Mexico. Use the two-way table

below to calculate the relative frequency of a student who has been to both Canada and Mexico to

all students that have been to Mexico? Round to the nearest hundredth if necessary.

Have been to Canada Have NOT been to Canada

Have been to Mexico 6 3

Have NOT been to Mexico 5 11

A) 50.0 B) 33.0 C) 83.0 D) 67.0

______ 56) There were 100 customers in a restaurant that were asked whether they liked chicken or beef and

whether they liked rice or pasta. Out of 30 customers that liked rice, 20 liked chicken. There were

60 customers that liked chicken. Which of the following is the appropriate two-way table

concerning the restaurant’s data?

A) B)

C) D)

Rice Pasta

Chicken 20 10

Beef 40 30

Rice Pasta

Chicken 10 30

Beef 20 40

Rice Pasta

Chicken 40 20

Beef 30 10

Rice Pasta

Chicken 20 40

Beef 10 30

Part 6.5 – Probability and Odds

______ 57) There are 1 red ball, 20 blue balls, 15 green balls, and 5 yellow balls in a ball pit. What are the

odds of randomly choosing a green ball?

A) 41

15 B)

26

15 C)

15

26 D)

15

41

______ 58) Carol and Amanda played a game. This table shows the results.

What is the probability that there will be a tie between Carol and Amanda?

A) 5

4 B)

3

1 C)

9

4 D)

4

3

______ 59) The table below shows the number of cans placed in a collection bin during a food drive.

One can will be randomly selected from the bin. Which is closest to the probability that the

can selected will contain fruit or sauce?

A) 10.0 B) 24.0 C) 34.0 D) 66.0

______ 60) Suppose you roll a number cube with the numbers 1-6 on it. Which has the same probability

as P (1 or prime) ?

A) P (factor of 6) B) P (1 or 2) C) P (less than 3) D) P (not odd)

______ 61) There are 28 right-handed students in a class of 31. What is the probability that a student

chosen at random will be left-handed?

A) 31

28 B)

28

31 C)

28

3 D)

31

3

Game Results

Results Frequency

Carol wins 3

Amanda wins 2

Tie 4

Food Drive

Type of Food Number of Cans

Vegetable 2,578

Fruit 1,359

Meat 1,240

Sauce 580

______ 62) Suppose you have a bouquet of four red, three white, and two yellow roses in your hand.

What is the probability of selecting two red roses?

A) 9

1 B)

5

1 C)

9

4 D)

6

1

______ 63) There is a 25% chance of rain tomorrow. What is the probability that it will not rain?

A) 25.0 B) 35.0 C) 50.0 D) 75.0

______ 64) If an event has a probability of 0.75, what is the likelihood of it occurring due to chance?

A) Impossible B) Unlikely C) Quite Likely D) Certain

______ 65) A car dealership has 12 cars, 6 trucks, and 7 sport utility vehicles on its lot. What is the

probability of randomly choosing a truck?

A) 25

12 B)

25

6 C)

25

7 D)

19

6

______ 66) You randomly choose an integer between 1 and 20. What are the odds that the integer is the

in the teens?

A) 20

1 B)

13

1 C)

13

7 D)

20

7

______ 67) There are 20 dogs, 14 cats, 6 birds, 1 snake, and 2 rabbits at a local shelter. What are the odds

of randomly choosing a cat?

A) 10

7 B)

17

7 C)

43

14 D)

29

14

______ 68) A coin is tossed 16 times. Six of the tosses were tails. What is the experimental probability of

tossing a head?

A) 8

3 B)

5

3 C)

8

5 D)

3

5

______ 69) A music store did a survey of 100 people to find out what type of music they bought. The

survey showed 13 people preferred alternative, 23 blues, 25 hard rock, and 39 soft rock. If

they surveyed one more person, what is the experimental probability that the person would

prefer alternative?

A) 4

1 B)

87

13 C)

100

14 D)

100

13

Use the following information and graph to answer questions # 70-71

The table below shows the number of students in each grade for three high schools and the number

that get to each school by riding the bus.

______ 70) If you are in the tenth grade, what is the probability that you ride a bus to get to school?

A) 73.0194

141 B) 64.0

304

196

C) 64.0816

523 D) 53.0

264

139

______ 71) If you go to Marshall High School, what are the odds that you do not ride the bus to get to

school?

A) 657 to 227 B) 657 to 884 C) 227 to 657 D) 227 to 884

Part 6.6 – Compound Probability

______ 72) You roll a pair of number cubes. What is the probability of getting even numbers on both

cubes?

A) 1 B) 2

1 C)

4

1 D)

6

1

______ 73) You take a three-question true or false quiz. You guess on all the questions. What is the

probability that you will get a perfect score?

A) 8

1 B)

8

3 C)

2

1 D)

2

3

______ 74) A standard domino set has 28 dominoes. Seven of these are called “doubles” since they have

the same number on both ends or are blank on both ends. The first and second player each

take a domino at random. What is the probability that they will both draw a “double” ?

A) 16

1 B)

18

1 C)

56

3 D)

756

13

______ 75) A bag contains 10 red marbles and 20 white marbles. You draw a marble, keep it, and draw

another. What is the probability of drawing two red marbles?

A) 10

1 B)

29

3 C)

9

1 D)

3

1

______ 76) A drawer contains 4 red pens, 5 blue pens, and 2 black pens. If you reach into the drawer without

looking and pull out a pen for you and a pen for your work partner, what is the probability that the

first pen will be blue and the second pen will be black?

A) 121

2 B)

40

11 C)

3

1 D)

11

1

______ 77) In the Lucky Sevens Lottery, 100 numbered tokens (1-100) are mixed in a box. A lottery agent then

picks 10 of the tokens from the box. Each time a token is removed, it remains outside the box.

Thirty-four of the tokens contain the digit 7. If three numbers with the number 7 are picked in a

row, you win! The agent picks the first 7 tokens, none of which have 7s. What is the probability

that the agent will pick 3 tokens in a row with the digit 7, making you a winner?

A)

100

5

100

6

100

7 B)

34

5

34

6

34

7

C)

100

32

100

33

100

34 D)

91

32

92

33

93

34

Use the following spinners to answer questions # 78-79

Mrs. Ripley spins each spinner one time.

______ 78) What is the probability that the first spinner will land on an odd number and the second spinner

will land on a vowel?

A) 12

1 B)

3

1 C)

4

1 D)

6

1

______ 79) What is the probability that the first spinner will land on 7 and the second spinner will land on C ?

A) 6

1 B)

4

1 C)

3

1 D)

12

1

Use the following spinners to answer questions # 80-81

Jared is going to perform an experiment in which he spins each spinner once.

______ 80) What is the probability that the first spinner will land on B, the second spinner will land on 3, and

the third spinner will land on Green?

A) 8

1 B)

12

1 C)

24

1 D)

4

1

______ 81) What is the probability that the first spinner will land on A, the second spinner will land on an even

number, and the third spinner will land on Blue?

A) 4

1 B)

8

1 C)

12

1 D)

24

1

6

7

8

9

Spinner 1

A

B

C

Spinner 2

A

B

Spinner 1

1

2

3

4

Spinner 2

Red

Green

Blue

Spinner 3

______ 82) A fair number cube is rolled once and a fair coin is flipped once. Calculate ),5( headsP .

A) 2

1 B)

4

1 C)

6

1 D)

12

1

Part 6.7 – Cumulative Review

______ 83) Which of the following represents the linear equation yx 2123 in standard form?

A) 62

3 xy B) 6

2

3 xy

C) 1223 yx D) 1223 yx

______ 84) A line perpendicular to 23 xy passes through the point (0 , 6). Which other point lies

on the line?

A) (9 , 3) B) (-9 , 3) C) (9 , -3) D) (-9 , -3)

______ 85) What is the solution of the inequality 14121

y

?

A) 273y B) 273y C) 34y D) 34y

______ 86) Which are solutions of 18)4(3 x and 6)1(2 x ?

I. 9 II. 12 III. 15

A) I only B) II only C) I and III D) II and III

______ 87) Which of the following statements is NOT true for the equation 1235 yx ?

A) the y-intercept is 4 B) the line has a positive slope

C) the x-intercept is 2.4 D) the line contains the point

3

2,2

______ 88) If 25 xy , then _____3 y .

A) 615 x B) 615 x C) 615 x D) 615 x

______ 89) Suppose you have just enough money, in coins, to pay for a loaf of bread priced at $1.95. You

have 12 coins, all quarters and dimes. Let q equal the number of quarters and d equal the

number of dimes. Which system models the given information?

A) 95.1

12

dq

dq B)

dq

dq

12

1951025

C) 95.125.010.0

12

qd

qd D)

95.1

1225.010.0

dq

dq

______ 90) Which equation has as its graph a line parallel to the graph of 342 yx ?

A)

52

1 xy B) 62 xy

C) 22

1 xy D) 42 xy

______ 91) A mail order company sells boxes of worms for $26.95 per box. A charge of $8.95 is added to

orders, regardless of the order size. Which of the following equation models the relationship

between the number of boxes ordered and the total cost of the order?

A) 1;95.26 wwc B) 1;)95.895.26( wwc

C) 1;95.2695.8 wwc D) 1;95.895.26 wwc

______ 92) Find )4(f when xxxf 2)(2 .

A) 24 B) 8 C) -8 D) -24

______ 93) Which ordered pair is a solution of the linear system? 422

4

yx

yx

A) )1,3( B) )1,3( C) )0,4( D) )2,2(

______ 94) Choose the solution of the inequality 11326 x .

A) 72

3 x B) 7

2

9 x C) 7

2

9 x D)

2

9

2

3 x

______95) While vacationing in New York City, Samir estimated that the Statue of Liberty was about 300

feet tall, give or take 12 feet. Find the maximum and minimum of Samir’s estimate.

A) 312292 f B) 312288 f

C) 308288 f D) 310286 f

______ 96) Write an open sentence involving absolute value for the graph.

A) 12 b B) 12 b C) 23 b D) 12 b

______ 97) Which equation represents the graph of the line shown below?

A) 14

3 xy B) 1

4

3 xy

C) 14

3 xy D) 1

4

3 xy

______ 98) The distance in miles, y , a bicyclist is from home after riding x hours is represented by the

equation 78 xy . What does the slope represent in this situation?

A) The number of hours it takes the bicyclist to ride 15 miles.

B) The distance the bicyclist is from home when x = 0.

C) The steepness of the hill the bicyclist is climbing.

D) The speed of the bicyclist.

______ 99) Which of the following are true for the given data? 3 , 4 , 4 , 5 , 6 , 7 , 7 , 8 , 8 , 8

I. mode > median II. mean < mode III. mean < median IV. median > mode

A) I and III B) II, III, and IV C) I and II D) I, II, and III

______ 100) Solve: 3211

6 x

A) 11

192 B)

11

192 C)

6

176 D)

3

176