PRE ALGEBRA – PA CORE – COURSE 2 STUDENT WORKBOOK

PRE ALGEBRA – PA CORE – COURSE 2

STUDENT WORKBOOK

Unit 5 Probability and Statistics

STUDY

ISLAND

TOPICS

Name: _______________________________ Period ____

Probability and Statistics

PURPLE

GREEN

RED

9.1

Probability of Simple Events

9.2

Theoretical and Experimental

Probability

9.3

Probability of Compound Events

9.4

Simulations

9.5

Fundamental Counting Principle

9.6

Permutations

9.7

Ind and Dependent Events

10.1

Make Predictions

10.2

Unbiased and biased Samples

10.3

Misleading Graphs and Statistics

10.4

Compare Populations

10.5

Select and Appropriate Display

Sampling Analysis

Comparing Statistics – Central Tendency and Variability

Probability

138 Course 2 • Chapter 9 Probability

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 1 Skills Practice

Probability of Simple Events

dog

cat

catdog

hamster

dog

A card is randomly chosen. Find each probability. Write

each answer as a fraction, a decimal, and a percent.

1. P(B)

2. P(Q or R)

3. P(vowel)

4. P(consonant or vowel)

5. P(consonant or A)

6. P(T)

The spinner shown is spun once. Write a sentence

explaining how likely it is for each event to occur.

7. P(dog)

8. P(hamster)

9. P(dog or cat)

10. P(bird)

11. P(mammal)

WEATHER The weather reporter says that there is a 12% chance that

it will be moderately windy tomorrow.

12. What is the probability that it will not be windy?

13. Will tomorrow be a good day to fly a kite? Explain.

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NAME

__________________________________________ DATE ____________ PERIOD _______

Lesson 1 Extra Practice

Probability of Simple Events

A set of 30 event tickets are placed in a bag. There are 6 baseball

tickets, 4 hockey tickets, 4 basketball tickets, 2 football tickets, 3

symphony tickets, 2 opera tickets, 4 ballet tickets, and 5 theater

tickets. One ticket is selected without looking. Find each probability.

Write each answer as a fraction, percent, and decimal.

1. P(basketball) 2. P(sports event) 3. P(opera or ballet)

, 20%, 0.2

4. P(soccer) 0 5. P(not symphony) 6. P(theater)

, 90%, 0.9

Use the spinner at the right to find each probability. Write each

answer as a fraction, percent, and decimal.

7. P(even number) 8. P(prime number)

, 50%, 0.5

9. P(factor of 12) 10. P(composite number)

, 62.5%, 0.625

, 37.5%, 0.375

11. P(greater than 10) 0 12. P(neither prime nor composite)

, 12.5%, 0.125

A package of balloons contains 5 green, 3 yellow, 4 red, and 8 pink

balloons. Suppose you reach in the package and choose one balloon

at random. Find the probability of each event. Write each answer as

a fraction, percent, and decimal.

13. P(red balloon) 14. P(yellow balloon) 15. P(pink balloon)

, 20%, 0.2

, 15%, 0.15

, 40%, 0.4

16. P(orange balloon) 0 17. P(red or yellow balloon) 18. P(not green balloon)

, 35%, 0.35

, 75%, 0.75

Course 2 • Chapter 9 Probability

140 Course 2 • Chapter 9 Probability

NAME _____________________________________________ DATE __________________ PERIOD _________

1. A number cube is rolled 50 times and the results are shown in the graph below.

Number of Rolls

Number Cube Experiment

Number Showing

a. Find the experimental probability of rolling a 2.

b. What is the theoretical probability of rolling a 2?

c. Find the experimental probability of not rolling a 2.

d. What is the theoretical probability of not rolling a 2?

e. Find the experimental probability of rolling a 1.

SEASONS Use the results of the survey at

Spring

Summer

Fall

Winter

None, I like

them all

13%

39%

25%

13%

10%

What is Your Favorite

Season of the Year?

the right.

a. What is the experimental probability that a

person’s favorite season is fall? Write the

probability as a fraction.

b. Out of 300 people, how many would you

expect to say that fall is their favorite

season?

c. Out of 20 people, how many would you expect to say that

they like all the seasons?

d. Out of 650 people, how many more would you expect to say

that they like summer more than they like winter?

Lesson 2 Skills Practice

Theoretical and Experimental Probability

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NAME

__________________________________________ DATE ____________ PERIOD _______

Lesson 2 Extra Practice

Theoretical and Experimental Probability

The table shows the results of a fair number cube rolled

40 times.

1. Find the experimental probability of rolling a 4.

2. Find the theoretical probability of not rolling a 4.

3. Find the theoretical probability of rolling a 2.

4. Find the experimental probability of not rolling a 6.

5. Suppose the number cube was rolled 500 times. Based on the results in

the table, about how many times would it land on 5? 150 times

The table at the right shows the results of a survey about favorite

pizza toppings.

6. What is the probability that a person’s favorite pizza topping is

pepperoni?

7. Out of 280 people, how many would you expect to have

pepperoni as their favorite pizza topping? about 126 people

8. What is the probability that a person’s favorite pizza topping is

pepperoni or sausage?

Course 2 • Chapter 9 Probability

142 Course 2 • Chapter 9 Probability

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 3 Skills Practice

Probability of Compound Events

The spinner at the right is spun twice.

1. Draw a tree diagram to represent the

situation.

2. What is the probability of getting at

least one A?

For each situation, make a tree diagram to show the

sample space. Then give the total number of outcomes.

3. choosing a hamburger or hot dog and potato salad or

macaroni salad

4. choosing a vowel from the word COMPUTER

and a consonant from the word BOOK

5. choosing between the numbers 1, 2 or 3, and the

colors blue, red, or green

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Course 2 • Chapter 9 Probability

NAME __________________________________________ DATE ____________ PERIOD _______

Lesson 3 Extra Practice

Probability of Compound Events

For each situation, find the sample space.

1. choosing an ice cream cone from waffle, plain, 2. choosing one math class from Algebra and

or sugar and a flavor of ice cream from Geometry and one foreign language class from

chocolate, vanilla, or strawberry French, Spanish, or Latin

waffle, chocolate Algebra, French

waffle, vanilla Algebra, Spanish

waffle, strawberry Algebra, Latin

plain, chocolate Geometry, French

plain, vanilla Geometry, Spanish

plain, strawberry Geometry, Latin

sugar, chocolate

sugar, vanilla

sugar, strawberry

3. making a sandwich from white, wheat, or 4. choosing a car that comes in white, black,

rye bread, cheddar or Swiss cheese, or red with standard or automatic

and ham, turkey, or roast beef transmission and with a 4-cylinder or

white, cheddar, ham 6-cylinder engine

white, cheddar, turkey white, standard, 4-cylinder

white, cheddar, roast beef white, standard, 6-cylinder

white, Swiss, ham white, automatic, 4-cylinder

white, Swiss, turkey white, automatic, 6-cylinder

white, Swiss, roast beef black, standard, 4-cylinder

wheat, cheddar, ham black, standard, 6-cylinder

wheat, cheddar, turkey black, automatic, 4-cylinder

wheat, cheddar, roast beef black, automatic, 6-cylinder

wheat, Swiss, ham red, standard, 4-cylinder

wheat, Swiss, turkey red, standard, 6-cylinder

wheat, Swiss, roast beef red, automatic, 4-cylinder

rye, cheddar, ham red, automatic, 6-cylinder

rye, cheddar, turkey

rye, cheddar, roast beef

rye, Swiss, ham

rye, Swiss, turkey

rye, Swiss, roast beef

For each situation, find the sample space. Then find the indicated

probability.

5. rolling 2 number cubes; P(rolling doubles)

6. tossing a penny twice; P(two tails)

1, 1; 1, 2; 1, 3; 1, 4; 1, 5; 1, 6 HH, HT, TH, TT

2, 1; 2, 2; 2, 3; 2, 4; 2, 5; 2, 6

3, 1; 3, 2; 3, 3; 3, 4; 3, 5; 3, 6

4, 1; 4, 2; 4, 3; 4, 4; 4, 5; 4, 6

5, 1; 5, 2; 5, 3; 5, 4; 5, 5; 5, 6

6, 1; 6, 2; 6, 3; 6, 4; 6, 5; 6, 6

144 Course 2 • Chapter 9 Probability

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 4 Skills Practice

Simulations

1. QUIZZES Describe a situation that you could use to answer a 15-question quiz, if five

questions are true or false questions.

PRIZES During the grand opening of a fast food restaurant, every person that comes to

the the restaurant receives a prize. There are 6 different prizes. Describe a model that

could be used to simulate which prizes the first 75 customers will receive.

STUDENT COUNCIL Mrs. Corley wants to randomly choose 3 students to represent her

homeroom on student council. There are 30 students in the class. Describe a model that

could be used to simulate this situation.

4. SALES A music store has determined that 65% of customers who buy a compact disc

buy a pop music compact disc. Describe a model that you could use to simulate a

CD purchase.

SANDWICHES A sandwich shop offers 6 different types of sandwiches on either white or

wheat bread. If each type of sandwich and bread is equally likely to be chosen by a

customer, describe a model that could be used to simulate the orders of the next 10

customers.

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Course 2 • Chapter 9 Probability

NAME __________________________________________ DATE ____________ PERIOD _______

Lesson 4 Extra Practice

Simulations

1. A restaurant offers six kids-meal prizes. The prizes are placed in the

meals at random. Describe a model that could be used to simulate

selecting one of the prizes.

Sample answer: Roll a number cube and assign a different prize

to each number on the cube.

2. A pizza parlor offers three different types of crust. Each crust type is

equally likely to be ordered. Describe a model that could be used to

simulate this situation. Based on your simulation, how many

customers must order a pizza in order to sell all possible

combinations?

Sample answer: Spin a spinner with 3 equal sections. Repeat the

simulation until all possible crusts are obtained.

3. A weather forecaster has predicted a 25% chance of precipitation for

the next 4 days. Describe a model that could be used to find the

experimental probability of rain all 4 days.

Sample answer: Use a spinner with 4 equal sections. Three will

be for sunny weather, and one will be for rain.

4. Fifty percent of the clothes a local charity receives are coats. Describe

a model that could be used to find the experimental probability of the

charity receiving coats during the next 10 donations.

Sample answer: Toss a coin in which heads represents coats

and tails represents other clothing. Toss the coin 10 times.

148 Course 2 • Chapter 9 Probability

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 5 Skills Practice

Fundamental Counting Principle

Use the Fundamental Counting Principle to find the total number of

outcomes in each situation.

1. rolling two number cubes and tossing one coin

2. choosing rye or Bermuda grass and 3 different mixtures of fertilizer

3. making a sandwich with ham, turkey, or roast beef; Swiss or provolone

cheese; and mustard or mayonnaise

4. tossing 4 coins

5. choosing from 3 sizes of bottled water and from distilled, filtered,

or spring water

6. choosing from 3 flavors and 3 sizes of juice

7. choosing from 35 flavors of ice cream; one, two, or three scoops; and sugar

or waffle cone

8. picking a day of the week and a date in the month of April

9. rolling 3 number cubes and tossing 2 coins

10. choosing a 4-letter password using only 5 letters that may each be used

more than once

11. choosing a bicycle with or without shock absorbers; with or without lights;

and 5 color choices

12. a license plate that has 3 numbers from 0 to 9 and 2 letters where each

number and a letter may be used more than once

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NAME

__________________________________________ DATE ____________ PERIOD _______

Lesson 5 Extra Practice

Fundamental Counting Principle

Use the Fundamental Counting Principle to find the total number of

outcomes for each situation.

1. choosing a local phone number if the exchange is 398 and each of the

four remaining digits is different 5,040 outcomes

2. choosing a way to drive from Lodi to Akron if there are 5 roads that

lead from Lodi to Miami, 3 roads that connect Miami to Niles, and 4

highways that connect Niles to Akron

60 outcomes

3. tossing a quarter, rolling a number cube, and tossing a dime 24 outcomes

4. spinning the spinners shown below 96 outcomes

5. spinning a spinner with six different sections and tossing a coin 12 outcomes

6. rolling a number cube and selecting a letter from the word tiger 30 outcomes

7. selecting one sweater from three different sweaters and one pair of

pants from two different pairs of pants 6 outcomes

8. selecting one piece of fruit from four different types of fruit and one

drink from a choice of five different drinks

20 outcomes

Course 2 • Chapter 9 Probability

150 Course 2 • Chapter 9 Probability

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 6 Skills Practice

Permutations

Find each value. Use a calculator if needed.

1. P(2,2) 2. P(4,3)

3. P(5,4) 4. P(9,5)

5. P(8,7) 6. P(12,13)

7. P(11,3) 8. P(10,4)

9. P(6,5) 10. P(5,3)

11. P(7,4) 12. P(6,4)

13. How many ways can you arrange the letters in the word prime?

14. How many ways can you arrange 8 different crates on a shelf if they are

placed from left to right?

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Course 2 • Chapter 9 Probability

NAME __________________________________________ DATE ____________ PERIOD _______

Lesson 6 Extra Practice

Permutations

1. Eight runners are competing in a 100-meter sprint. In how many ways

can the gold, silver, and bronze medals be awarded? 336 ways

2. Five-digit locker combinations are assigned using the digits 1–9. In

how many ways can the combinations be formed if no digit can be

repeated? 15,120 ways

3. In how many ways can the classes math, language arts, science, and

social studies be ordered on student schedules as the first four classes

of their day? 24 ways

4. At a teddy bear workshop, customers can select from black, brown,

gold, white, blue, or pink for their bear’s color. If a father randomly

selects two bear colors, what is the probability that he will select a

white bear for his son and a pink bear for his daughter? The father

cannot pick the same color for both bears.

5. If you randomly select three of your last seven writing assignments to

submit to an essay contest, what is the probability that you will select

your first, fourth, and sixth essays in that order?

210

Find each value. Use a calculator if needed.

6. P(7, 4) 840 7. P(4, 3) 24 8. P(5, 5) 120 9. P(3, 1) 3

10. P(9, 4) 3,024 11. P(6, 2) 30 12. P(10, 3) 720 13. P(12, 4) 11,880

14. P(1, 1) 1 15. P(12, 5) 95,040 16. P(10, 2) 90 17. P(6, 4) 360

152 Course 2 • Chapter 9 Probability

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 7 Skills Practice

Independent and Dependent Events

For Exercises 1–6, a number cube is rolled and the

spinner at the right is spun. Find each probability.

1. P(1 and A) 2. P(odd and B)

3. P(prime and D) 4. P(greater than 4 and C)

5. P(less than 3 and 6. P(prime and consonant)

consonant)

7. What is the probability of spinning the spinner above 3 times and getting

a vowel each time?

8. What is the probability of rolling a number cube 3 times and getting a

number less than 3 each time?

Each spinner at the right is spun. Find each probability.

9. P(A and 2)

10. P(vowel and even)

11. P(consonant and 1)

12. P(D and greater than 1)

There are 3 red, 1 blue, and 2 yellow marbles in a bag. Once a marble

is selected, it is not replaced. Find each probability.

13. P(red and then yellow) 14. P(blue and then yellow)

15. P(red and then blue) 16. P(two yellow marbles)

17. P(two red marbles in a row) 18. P(three red marbles)

GAMES There are 13 yellow cards, 6 blue, 10 red, and 8 green cards

in a stack of cards turned face down. Once a card is selected, it is

not replaced. Find each probability.

19. P(2 blue cards) 20. P(2 red cards)

21. P(a yellow card and 22. P(a blue card and

then a green card) then a red card)

23. P(two cards that are not red) 24. P(two cards that are neither

red or green)











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Course 2 • Chapter 9 Probability

NAME __________________________________________ DATE ____________ PERIOD _______

Lesson 1 Extra Practice

Probability of Simple Events

Two socks are drawn from a drawer which contains one red sock,

three blue socks, two black socks, and two green socks. Once a sock is

selected, it is not replaced. Find each probability.

1. P(a black sock and then a green sock)

2. P(two blue socks)

3. P(a green sock and then a red sock)

4. P(two green socks)

There are three quarters, five dimes, and twelve pennies in a bag.

Once a coin is drawn from the bag, it is not replaced. If two coins are

drawn at random, find each probability.

5. P(a quarter and then a penny)

6. P(a nickel and then a dime) 0

7. P(two pennies)

8. P(a dime and then a quarter)

154 Course 2 • Chapter 10 Statistics

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 1 Skills Practice

Make Predictions

For Exercise 1–4, use the table and the following

information. A survey of students’ favorite sports

was taken from a random sample of students in

a school. The results are shown in the table.

1. What is the size of the sample?

2. What is the probability that a student will prefer soccer?

3. What is the probability that a student will prefer volleyball?

4. There are 550 students in the school. Predict how many students at the school prefer

track and field.

Use the percent equation to help you solve.

GARDENING A survey showed that 74% of a nursery’s mail-order customers spent more

than $100 on plants each spring. Predict how many of 125,000 mail-order customers

will spend less than $100 on plants next spring.

SAVING MONEY A survey of high school students with jobs asked whether the students

saved some of the money they earned. 82% of the students said they saved some money.

Out of 340 students, predict how many would save some of their earnings.

TRAVEL COMPANY CUSTOMERS A survey showed that 55% of a travel company’s

customers were planning an overseas vacation the following year. Predict how many of

the travel company’s 12,400 travelers will vacation overseas the following year.

Students’ Favorite

Sports

Soccer 8

Baseball/Softball 3

Volleyball 5

Track & Field 4

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154 Course 2 • Chapter 10 Statistics

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 1 Problem-Solving Practice

Make Predictions

MOVIES For Exercises 1–3, use the table

of results of Jeremy’s survey of favorite

kinds of movies.

1. MOVIES How many people did Jeremy

use for his sample?

2. If Jeremy were to ask any person to

name his or her favorite type of movie,

what is the probability that it would be

comedy?

3. If Jeremy were to survey 250 people,

how many would you predict would

name comedy?

HAIRCUT Survey results show that 68%

of people tip their hairdresser when

they get a haircut. Predict how many

people out of 150 tip their hairdresser.

GOLF A survey showed that 28% of

adults play golf in their free time. Out

of 1,550 adults, predict how many

would say they play golf.

GOLF Use the information in Exercise 5

to predict how many adults out of 1,550

would say they do not play golf.

Favorite Movie Type

Type People

Drama 12

Foreign 3

Comedy 20

Action 15

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156 Course 2 • Chapter 10 Statistics

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 2 Skills Practice

Unbiased and Biased Samples

Determine whether each conclusion is valid. Justify your answer.

1. To evaluate the defect rate of its memory chips, an integrated circuit manufacturer

tests every 100th chip off the production line. Out of 10 chips tested, one chip is found

to be defective. The manufacturer concludes that 3 chips out of 3,000 will be defective.

2. Students who wish to represent the school at a school board meeting are asked to stop

by the office after lunch. After lunch, 5 students wish to represent the school.

3. To determine if the class understood the homework assignment, the math teacher

checks the top 3 papers in the pile of collected homework. The teacher finds that all

students understood the homework assignment.

4. A member of the cafeteria staff asks every fifth student leaving the cafeteria to rank

5 vegetables from most favorite to least favorite. She finds that corn is one of the

favorite vegetables.

5. One bead for every member of the school orchestra is placed in a bag. All but 2 of the

beads are white. Each member draws a bead from the bag, and the members who pick

the non-white beads will represent the orchestra. It is predicted that two different

instrument players will choose the white beads.

6. A real estate agent surveys people about their housing preferences at an open house for

a luxury townhouse. He finds that most people prefer townhomes.

7. To determine the most popular children’s programs, a television station asks parents to

call in and complete a phone survey. The television station finds that the children’s

programs that are animated are the most popular.

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156 Course 2 • Chapter 10 Statistics

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 2 Problem-Solving Practice

Unbiased and Biased Samples

FUNDRAISING For Exercises 1 and 2, use the survey

Flavor Number

butter 33

cheese 15

caramel 27

results in the table at the right. Members of the Drama

Club plan to sell popcorn as a fundraiser for their

Shakespeare production. They survey 75 students at

random about their favorite flavors of popcorn.

1. Is the sample valid? What percent of

the students prefer caramel popcorn?

2. If the club orders 400 boxes of popcorn

to sell, how many boxes of caramel

popcorn should they order? Explain

how you found your answer.

DINING OUT For Exercises 3 and 4, use the following information.

As people leave a restaurant one evening, 20 people are surveyed

at random. Eight people say they usually order dessert when they

eat out.

3. Is the sample valid? What percent of

those surveyed say they usually order

dessert when they eat out?

4. If 130 people have dinner at the

restaurant tomorrow, how many

would you expect to order dessert?

RECREATION For Exercises 5 and 6, use the table at

Bicycle Type Number

mountain 11

touring 8

comfort 9

juvenile 19

other 3

the right which shows the responses of 50 people

who expect to purchase a bicycle next year.

5. Is the sample valid? What percent of

those planning to buy a bicycle next

year think they will buy a mountain

bike?

6. If Mike’s Bike Shop plans to order 1,200

bicycles to sell next year, how many

mountain bikes should be ordered?

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Pre-Algebra

Center and Spread of Data

Name___________________________________

Date________________ Period____

-1-

Find the mode, median, mean, range, lower quartile, upper quartile, interquartile range, and mean

absolute deviation for each data set.

6.5 77.58889

10 10.5

Shoe Size 2)

2 3 334467

12 18 19

Hits in a Round of Hacky Sack

Movie # Awards Movie # Awards Movie # Awards

The Greatest Show on Earth 2 No Country for Old Men 4 Mrs. Miniver 6

Gentleman's Agreement 3 Unforgiven 4 Lawrence of Arabia 7

The Great Ziegfeld 3 It Happened One Night 5 On the Waterfront 8

The King's Speech 4 Forrest Gump 6

Academy Awards

Plant Days Plant Days Plant Days Plant Days Plant Days

Bok Choi 45 Swiss Chard 60 Sugar Baby Watermelon 75 Honeydew 80 Rutabaga 90

Okra 55 Bell Pepper 75 Cantaloupe 80 Beefsteak Tomato 80 Tomatillo 100

Average Time to Maturity

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Worksheet by Kuta Software LLC

-2-

















1996

1997

1998

1999

2000

2001

2002

2003

2004

2005

2006

2007

2008

2009

2010

Launches

Year

European Spacecraft Launches 6)













$15,000

$25,000

$35,000

$45,000

$55,000

$65,000

$75,000

$85,000

$95,000

$105,000

$115,000

$125,000

$135,000

$145,000

$155,000

$165,000

$175,000

Tax Rate (%)

Income

Federal Income Tax

Goals Frequency













Goals in a Hockey Game 8)

Stem Leaf

     

          



  

Key: | = 24,200

Mountain Heights (ft)

           

Age

US Senators When Assuming Office

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 1

Center and Spread of Data

Name___________________________________

Date________________ Period____

-1-

Find the mode, median, mean, lower quartile, upper quartile, interquartile range, and population

standard deviation for each data set.

37 42 48 51 52 53 54

54 55

Test Scores 2)

62 64 69 70 70 71 72

73 74 75 77

Mens Heights (Inches)

Senator Age Senator Age Senator Age Senator Age Senator Age

Patrick Leahy 34 Carl Levin 44 Tammy Baldwin 50 John Barrasso 54 Mike Johanns 58

Mark Pryor 39 Rand Paul 47 Barbara Boxer 52 Kay Hagan 55 John Boozman 60

Brian Schatz 40 John Cornyn 50 Claire McCaskill 53 Jerry Moran 56 Jim Risch 65

John Thune 43

Age Assumed Office

State Percent State Percent State Percent State Percent

Colorado 2.9 New Mexico 5.125 Maryland 6 Washington 6.5

Louisiana 4 Maine 5.5 South Carolina 6 Indiana 7

Wyoming 4 Florida 6 Kansas 6.15 New Jersey 7

Oklahoma 4.5 Idaho 6 Massachusetts 6.25 Rhode Island 7

North Dakota 5

Sales Tax

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Worksheet by Kuta Software LLC

-2-

   

Births/woman

Birth Rate by Country 6)

# Words Frequency











Length of Book Titles

















Goals

Game

Goals in a Hockey Game 8)

Stem Leaf

      



   

  



Key: | = 1,800

Boiling Point (°C)













1984

1986

1988

1990

1992

1994

1996

1998

2000

2002

2004

2006

2008

2010

2012

Cost (¢)

Year

Cost of Electricity, per kWh 10)

















1976

1978

1980

1982

1984

1986

1988

1990

1992

1994

1996

1998

2000

2002

2004

Launches

Year

European Spacecraft Launches

158 Course 2 • Chapter 10 Statistics

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 3 Skills Practice

Misleading Graphs and Statistics

1. LUNCH Which graph could be used to indicate a greater increase in yearly lunch

prices? Explain.

GEOGRAPHY For Exercises 2–4, use the

table that shows the miles of shoreline

for five states.

2. Find the mean, median, and mode of the data.

3. Which measure of center is misleading in describing the miles of shoreline for the

states? Explain.

4. Which measure of center most accurately describes the data?

Lunch Prices ($)

2010

$3.75

2011

$4.00

2012

$4.50

Graph B

201220112010

$4.50

$4.00

$3.75

Lunch Prices

Graph A

Miles of Shoreline

State

Length of

Shoreline (mi)

Virginia 3,315

Maryland 3,190

Washington 3,026

North Carolina 3,375

Pennsylvania 89

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158 Course 2 • Chapter 10 Statistics

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 3 Problem-Solving Practice

Misleading Graphs and Statistics

QUIZ SCORES For Exercises 1 and 2, use the

data shown in the table below. The table

shows the quiz grades for Ms. Andrey’s and

Mr. Luna’s classes.

BOOK SALES For Exercises 3 and 4, use the

table below. It shows the number of books

sold each day for 20 days.

Quiz Scores

Ms. Andrey’s

Class

Mr. Luna’s

Class

10 20

15 20

25 25

25 29

12 26

1. Ms. Andrey claims the average score on

a quiz in her class was 25. Mr. Luna

claims the average score on a quiz in

his class is 25. Explain how they

arrived at these figures.

2. What additional information could be

useful in analyzing the data?

3. Find the mean, median, and mode of

the data. Which measure of central

tendency would be misleading in

describing the book sales?

Explain.

4. Which value would most accurately

describe the data? Explain.

Book Sales Per Day

23 18 23 15

24 16 0 11

19 10 13 17

12 23 11 16

36 24 12 27

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162 Course 2 • Chapter 10 Statistics

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 4 Skills Practice

Compare Populations

1. The double box plot shows the heights in

inches for the players on two professional

basketball teams. Compare their centers and

variations. Write an inference you can draw

about the two populations.

2. The double dot plot shows the number of

minutes two students spent practicing the

piano. Compare their centers and variations.

Round to the nearest tenth. Write an inference

you can draw about the two populations.

3. The double box plot shows the daily

number of customers for two ice cream

parlors. Compare the centers and

variations of the two populations.

Which ice cream parlor has the

greater number of daily customers?

70 71 72

73 74 75 76 77 78 79 80 81 82 83 84 85

Height of Players (in.)

NJ Nets

NY Knicks

40 45 50 55 60 65

Lily

Alessandra

40 45 50 55 60 65 70

Minutes Spent Practicing















20 25 30

35 40 45 50 55 60 65 70 75 80 85 90

Number of Daily Customers

Sue’s Ice Cream

Corner Creamery

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162 Course 2 • Chapter 10 Statistics

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 4 Problem-Solving Practice

Compare Populations

The double box plot shows the

average monthly high

temperatures for Phoenix,

Arizona, and Las Vegas, Nevada.

1. Compare the centers and variations of

the two populations.

2. Write an inference you can draw about

the two populations.

The double dot plot shows the number

of city pet registrations for several days.

3. Compare the centers and variations of

the two populations. Round to the

nearest tenth.

4. In general, which type of pet has the

greater number of registrations?

Explain.

55 60 65

70 75 80 85 90 95 105 110100

Average Monthly High Temp. (°F)

Phoenix

Las Vegas

57 64.5

72.5 86 101 10666

79.5 96.5 104

Cats

8 9 10 11 12 13 14

Dogs

8 9 10 11 12 13 14 15

Pet Registrations

















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Worksheet by Kuta Software LLC

Kuta Software - Infinite Pre-Algebra

Visualizing Data

Name___________________________________

Date________________ Period____

-1-

Draw a dot plot for each data set.

44445556

67777777

Games per World Series

Senator Age Senator Age Senator Age Senator Age Senator Age

Mary Landrieu 41 Jon Tester 50 Mike Enzi 52 Barbara Boxer 52 Lamar Alexander 62

Mike Crapo 47 Tim Johnson 50 Dick Durbin 52 Sherrod Brown 54 Richard Blumenthal 64

John Cornyn 50 Jeff Sessions 50 Bob Menendez 52 John Barrasso 54 Angus King 68

Age Assumed Office

Draw a stem-and-leaf plot for each data set.

9.2 15.6 15.8 22.4 26.4

34 34.4 34.8 38.8 39.6

45.2 50.4 51.6 55.6 55.6

56.6 69.2

Annual Precipitation (Inches)

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Worksheet by Kuta Software LLC

-2-

Country US $ Country US $ Country US $ Country US $

Central African Rep. 604 Uzbekistan 5,167 Maldives 11,654 Chile 21,911

Djibouti 2,998 Rep. of Congo 5,867 South Africa 12,504 Japan 36,315

Yemen 3,958 Mongolia 9,433 Botswana 15,675 Belgium 40,338

Laos 4,812 Grenada 11,498 Gabon 19,260 United Arab Emirates 58,042

Per Capita Income

Draw a box-and-whisker plot for each data set.

37 38 39 44 44 45 46

47 47 47 47 48 51 52

52 53 54

Test Scores 6)

State Years State Year s

Arkansas 74.2 Wisconsin 79.8

New Mexico 77.7 Washington 80.3

Alabama 78.1 Colorado 80.9

Louisiana 78.2 Indiana 81.3

Wyoming 78.4 Nevada 81.3

Kansas 78.6 Pennsylvania 81.6

Maine 79.1 Florida 81.7

Hawaii 79.7 Massachusetts 83.8

Life Expectancy

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 1

Visualizing Data

Name___________________________________

Date________________ Period____

-1-

Draw a dot plot for each data set.

234555 56

67777813

Hits in a Round of Hacky Sack 2)

74679767

68776765

Hours Slept

Draw a stem-and-leaf plot for each data set.

Name Age Name Age Name Age

Rudolf Ludwig Mössbauer 32 Stanley Ben Prusiner 55 Robert Merton Solow 63

Wolfgang Ketterle 44 Torsten Nils Wiesel 57 Stanley Cohen 64

Joseph Leonard Goldstein 45 Richard Axel 58 Peter Mansfield 70

Aung San Suu Kyi 46 Robert Coleman Richards 59 Vernon Lomax Smith 75

Kenneth Joseph Arrow 51 James Alexander Mirrlees 60 Richard Fred Heck 79

Barry James Marshall 54

Nobel Laureates

City Population City Population City Population City Population

Boston 617,594 Seattle 608,660 Irving 216,290 Washington DC 601,723

Gilbert 208,453 Richmond 204,214 Santa Ana 324,528 Columbus 787,033

Stockton 291,707 Scottsdale 217,385 Fort Worth 741,206 Aurora 325,078

Austin 790,390 Portland 583,776 San Francisco 805,235

Large US Cities

Draw a box-and-whisker plot for each data set.

26 26.1 27.2 27.6 28.9

30.2 30.6 31.1 31.5 32.1

33.4 34 34 34 36.7

Minutes to Run 5km

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Worksheet by Kuta Software LLC

-2-

President Age President Age President Age President Age

Calvin Coolidge 51 James Madison 57 Barack Obama 47 William McKinley 54

Lyndon B Johnson 55 Millard Fillmore 50 Chester A Arthur 51 James A Garfield 49

Gerald Ford 61 Zachary Taylor 64 Grover Cleveland 55 William Howard Taft 51

Theodore Roosevelt 42 James K Polk 49 Harry S Truman 60 Abraham Lincoln 52

Martin Van Buren 54

Age At Inauguration

Draw a histogram for each data set.

Plant Days Plant Days Plant Days Plant Days Plant Days

Mesclun 40 Turnip 55 Romano Pole Bean 60 Sweet Potato 90 Tomatillo 100

Spinach 44 Swiss Chard 60 Yukon Gold Potato 65 Brussel Sprouts 90 Gooseneck Gourd 120

Endive 47 Kale 60 Cantaloupe 80 Celery 95 Pumpkin 120

Average Time to Maturity

Animal Years Animal Years

Lion 35 Chinchilla 20

Cottontail 10 Bee (Queen) 5

Teal 20 Congo Eel 27

Macaw 50 Pheasant 18

Painted Turtle 11 Prarie Dog 10

Asian elephant 40 Nutria 15

Grouse 10 Flying Squirrel 14

Rhinoceros 40 Pionus Parrot 15

Average Lifespan

Course 2 • Chapter 10 Statistics 161

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 4 Homework Practice

Compare Populations

Compare the centers and variations of the two populations in each exercise.

Round to the nearest tenth if necessary. Write an inference you can draw

about the two populations.

FITNESS The double plot shows the daily

attendance for two fitness clubs for one

month.

80 90 100

110 120 130 140

Fitness Club Daily Attendance

Fun Fit

Greg’s Gym

3. GAS MILEAGE The double dot plot shows

the gas mileage, in miles per gallon, for

several cars and SUVs.

18 19 20 21 22 23 24 25 26

Cars

18 19 20 21 22 23 24 25 26

SUVs

Gas Mileage (mpg)















2. ANIMALS The double dot plot shows the

weights in pounds of several housecats

and small dogs.

5678910111213

Small Dogs

5678910111213

Housecats

Weights (lb)















4. NUTRITION The double box plot shows

the number of Calories per serving for

various fruits and vegetables.

02550

75 100 125 150 175 200

Calories per Serving

Fruits

Vegetables

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Course 2 • Chapter 10 Statistics

NAME __________________________________________ DATE ____________ PERIOD _______

Lesson 4 Extra Practice

Compare Populations

1. The double box plot below shows the number of car shows attended by

two car clubs each year. Compare the centers and variations of the two

populations. Which car club attends more car shows?

Sample answer: The data for the Cruisers has a median of 9

shows with an interquartile range of 6 shows. The data for the

Car Hops has a median of 11 shows with an interquartile range of

4 shows. The Car Hops data are centered around a higher value,

but the variation is less. So, the data for the Car Hops is more

consistent.

2. The double box plot below shows the results of a school survey about

types of lunch purchased. Compare the centers and variations of the

two populations. Which type of lunch was preferred by more students?

Sample answer: The data for full lunch has a median of 110

students with an interquartile range of 80 students. The data for

a la carte lunches has a median of 160 students with an

interquartile range of 140 students. The a la carte data are

centered around a higher value and have a greater variation.

164 Course 2 • Chapter 10 Statistics

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 5 Skills Practice

Select an Appropriate Display

Select an appropriate type of display for each situation. Justify your reasoning.

1. sales of a leading brand of cereal for the last 12 years

2. test grades for a class, arranged in intervals

3. average weight of wildcats, categorized by species

4. ages of all students at a summer camp

5. points scored by members of a basketball team as compared to the

team total

6. energy usage in your home for the past year, categorized by month

Select an appropriate type of display for each situation. Justify your reasoning.

Then construct the display. What can you conclude from your display?

Dwyane Wade’s Points per Game

Season Points per Game

2003–2004 16.2

2004–2005 24.1

2005–2006 27.2

2006–2007 27.4

2007–2008 24.6

Time to Walk to School

Time (min) Percent of Students

Fewer than 10 20

10–20 46

21–30 18

31–40 10

More than 40 6

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164 Course 2 • Chapter 10 Statistics

NAME _____________________________________________ DATE __________________ PERIOD _________

Lesson 5 Problem-Solving Practice

Select an Appropriate Display

AGE For Exercises 1 and 2, use the following information. The table

shows the ages of people at a roller-skating rink.

Ages of People Roller Skating

Age Number of People

10 and under 19

11–20 22

21–30 14

31–40 7

over 40 6

1. Select an appropriate display for the

data. Justify your reasoning.

2. Construct the display.

VEGETABLES A survey asked students

which vegetable they prefer. Of those

who responded, 17 said corn, 22 said

carrots, 9 said green beans, and 7 said

sweet potatoes. Select an appropriate

display for this data.

4. Construct the display in Exercise 3.

TELEVISIONS The table shows the number

of televisions that were sold. Select an

appropriate display for this data.

Television Sales by Screen Size

Size (in.) Percent

20 10

27 39

42 36

46 15

6. Construct the display in Exercise 5.

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