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## Big Ideas Math Book 2nd Grade Answer Key Chapter 13 Represent and Interpret Data

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### Represent and Interpret Data Vocabulary

**Organize It**

Use the review words to complete the graphic organizer.

Answer:

The number of students who choose math = 6.

The number of students who choose science = 5

Explanation:

In the above-given figure,

the number of students who choose math = 6

the number of students who choose science = 5

the more number of students choose maths than science.

.

**Organize It**

Use your vocabulary cards to identify the word.

Answer:

1. The pencil lengths of each student = 4, 5, 6, and 7.

Explanation:

The number of pencil lengths of all students = 4, 5, 6, and 7.

the max length of the pencil = 5

In the above-given figure is a line plot.

given that the pencil lengths in inches = 4, 5, 6, and 7.

Answer:

2. The more number of students whose favorite hobby is singing = 7.

Explanation:

In the above-given figure,

the total number of students = 8

the number of students whose favorite hobby dancing = 6.

the number of students whose favorite hobby running = 5.

the number of students whose favorite hobby singing = 7.

The more number of students whose favorite hobby is singing = 7.

### Lesson 13.1 Sort and Organize Data

**Explore and Grow**

Look at your color tiles. Complete the tally chart.

Answer:

The tile colors are blue, green, red, and yellow.

Explanation:

In the above-given figure,

given the tile, colors are blue, green, red, and yellow.

Write and answer a question about your tally chart.

Answer:

The more number of students they choose yellow = 5.

Explanation:

In the above-given figure,

the number of students who choose blue = 2.

the number of students who choose green = 3.

the number of students who choose red = 4.

the number of students who choose yellow = 5.

the more number of students who choose yellow = 5.

**Show and Grow**

Question 1.

Use the data to complete the tally chart.

How many students chose math? ________

Which subject is the most favorite? _________

Answer:

The students who choose math = 7.

The most favorite subject = math.

Explanation:

The students who choose math = 7.

The students who choose science = 4.

The students who choose social studies = 2.

The students who choose language arts = 3.

**Apply and Grow: Practice**

Question 2.

Use the data to complete the tally chart.

Which animal is the least favorite? ________

How many students did not choose fox? How do you know?

Answer:

The least favorite animal = owl

the students did not choose fox = 12.

Explanation:

In the above-given figure,

the least favorite animal = owl.

the students did not choose fox = 12.

the total number of students = 18

18 – 6 = 12

12 students did not choose fox.

Did more students choose fox or owl?

_______

How many more? ______ more

Did fewer students choose reindeer or polar bear?

________

How many fewer? ______ fewer

Answer:

The more students choose fox = 7.

the more students = 7

the fewer students choose a polar bear.

fewer = 3

Explanation:

The students who choose fox = 7.

the students who choose more = 7

the students who choose fewer = polar bear

polar bear = 3

Question 3.

**Reasoning**

Which sentences are correct?

You survey 30 students.

11 students chose whale.

4 more students chose seal than penguin.

20 students did not choose seal.

Answer:

4 more students choose seal than penguin is correct.

Explanation:

In the above-given figure,

the penguin = 14

whale = 6

seal = 10

**Think and Grow: Modeling Real Life**

Newton wants to survey25 students. How many more students does he need to survey?

Addition equation:

_______ students

Answer:

The more students does he need to survey = 6 students.

Explanation:

In the above-given figure,

the total number of students = 19.

newton wants 25 students.

19 + 6 = 25

**Show and Grow**

Question 4.

Descartes wants to survey 20 students. How many more students does he need to survey?

_______ students

Answer:

The more students do he need to survey = 2 students.

Explanation:

In the above-given figure,

the total number of students = 18.

Descartes wants 20 students.

18 + 2 = 20.

How many more students need to choose sneakers so that the numbers of students who choose sneakers and sandals are equal?

______ students

Answer:

The students need to choose sneakers so that the number of students who choose sneakers and sandals is equal = 2 students.

Explanation:

In the above-given figure,

the sandals = 6

sneakers = 4

6 – 4 = 2

2 students.

### Sort and Organize Data Homework & Practice 13.1

Question 1.

Use the data to complete the tally chart.

Which activity is the most favorite? _______

Did more students choose catch or sidewalk chalk? _______

How many more?

______ more

Answer:

The activity the most favorite = tag.

The more students choose catch than sidewalk chalk.

0ne more.

Explanation:

The most favorite activity = tag.

Most students choose catch than the sidewalk.

sidewalk = 2

catch = 4

bubbles are more.

Question 2.

**Modeling Real Life**

Newton wants to survey 15 friends. How many more friends does he need to survey?

Answer:

The more friends he needs to survey = 4.

Explanation:

Given that newton wants 15 friends to survey.

but in the figure, he has only 11 friends.

11 + 4 = 15

the more friends he wants to survey = 4

Question 3.

**Writing**

In Exercise 2, what question did Newton ask?

__________________

__________________

Answer:

Newton wants to survey 15 friends.

Explanation:

In the above-given question, he wants to survey more friends.

the more friends = 4

in the figure given that 11 friends.

11 + 4 = 15.

Question 4.

**Modeling Real Life**

You want to survey 30 students. How many more students do you need to survey?

______ students

How many more students need to choose coloring so that the numbers of students who choose coloring and puppets are equal?

______ students

Answer:

The more students you need to survey = 10 students.

Explanation:

In the above-given figure,

The total number of students = 20

The more number of students you need to survey = 10.

**Review & Refresh**

Question 5.

153 − 10 = ______

Answer:

153 – 10 = 143

Explanation:

153 – 10 = 143

Question 6.

978 − 10 = ______

Answer:

978 – 10 = 968

Explanation:

978 – 10 = 968

Question 7.

642 − 100 = ______

Answer:

642 – 100 = 542

Explanation:

642 – 100 = 542

Question 8.

1,000 −100 = ______

Answer:

1000 – 100 = 900

Explanation:

1000 – 100 = 900

### Lesson 13.2 Real and Interpret Picture Graphs

**Explore and Grow**

How are the tally chart and the picture graph the same? How are they different?

__________________

___________________

Answer:

Yes, the tally chart and picture graph represents the same.

Explanation:

The favorite bird = 2.

cat = 4

dog = 7.

So in the tally chart and the picture graph represents the same.

**Show and Grow**

Question 1.

How many students chose butterﬂy? _______

Which insect is the most favorite? ______

Which insect is the least favorite? _______

Answer:

The students who choose butterfly = 7

The most favorite insect= 8

The least favorite insect = 2

Explanation:

In the above-given figure,

The insects bumblebee = 2

ladybug = 8

grasshopper = 6

butterfly = 7

The students who choose butterfly = 7

The most favorite insect= 8

The least favorite insect = 2

**Apply and Grow: Practice**

Question 2.

How many students chose sporting event? _______

Which school trip is the least favorite? _______

How many more students chose science center than the park? _______

Answer:

The students who choose sporting event = 8

The least favorite school trip = park

The more students who choose science center than the park = 3

Explanation:

In the above-given figure,

the science center = 5

park = 2

sporting event = 8

museum = 3

The students who choose sporting event = 8

The least favorite school trip = park

The more students who choose science center than the park = 3

Question 3.

**Number Sense**

Use the numbers to complete the sentences.

Newton has ______ siblings.

Your friend has _______ siblings.

Your friend has ______ more siblings than your cousin.

Answer:

Newton has 2 siblings.

your friend has 4 siblings.

your friend has 3 more siblings than your cousin.

Explanation:

In the above-given figure,

your cousin has 1 sibling.

your friend has 4 siblings.

newton has 2 siblings.

Descartes has 3 siblings.

**Think and Grow: Modeling Real Life**

Do more students like crabs and sea turtles or octopuses and jellyfish?

Addition equations:

More students like ______ and _______.

Answer:

The more students like sea turtle = 9

More students like octopus and sea turtle.

Explanation:

In the above-given figure,

the students like crab = 6

the students who like octopus = 8

the students who like jellyfish = 3

the students who like sea turtle = 9

The more students like sea turtle = 9

More students like octopus and sea turtle.

**Show and Grow**

Question 4.

Do you see more cars and motorcycles or vans and trucks?

You see more _______ and ______.

Answer:

We see more cars.

Explanation:

In the above-given figure,

the cars = 9

vans = 8

truck 4

motorcycles = 2

we see more cars than other vehicles.

### Real and Interpret Picture Graphs Homework & Practice 13.2

Question 1.

Which fruit do exactly 7 students like most? _______

How many students like the fruit with the fewest votes? _______

How many more students chose banana than pear? _____

Answer:

The fruits exactly 7 students like most = banana.

the students who like the fewest = apple.

the more students choose banana than pears = 3

Explanation:

In the above-given figure,

The students who like apple = 4

the students who like pears = 5

The students who like grapes = 7

the students who like banana = 8

The fruits exactly 7 students like most = banana.

the students who like the fewest = apple.

the more students choose banana than pears = 3

Question 2.

**Writing**

Use the picture graph.

Write two true statements about the picture graph.

____________________

____________________

Answer:

The students who choose bus = 6

The students who choose walk= 4

The students who choose car = 2

The students who choose subway = 5

Explanation:

In the above- given figure,

the students who choose bus = 6

The students who choose walk= 4

The students who choose car = 2

The students who choose subway = 5

the more students choose the bus.

fewer students choose cars.

Question 3.

**Modeling Real Life**

Use the picture graph.

Do more students like to play video games and read or play outside and watch TV?

More students like to ______ and ______.

Answer:

The more students like to play video games.

Explanation:

In the above-given figure,

the students who like to play outside = 6

the students who like to play video games = 9

the students who like to watch tv= 7

the students who like to read = 3

the more students like to play videogames and watching tv

**Review & Refresh**

Question 4.

What is the best estimate of the length of a keyboard?

Answer:

### Lesson 13.3 Make Picture Graphs

**Explore and Grow**

Look at your color tiles. Complete the tally chart and the picture graph.

Answer:

The number of students who like blue = 2

The number of students who like green = 3

The number of students who like red = 4

The number of students who like yellow = 5

Explanation:

In the above-given figures,

The number of students who like blue = 2

The number of students who like green = 3

The number of students who like red = 4

The number of students who like yellow = 5

**Show and Grow**

Question 1.

Complete the picture graph.

Which fruit is the most favorite? ______

Which fruit is the least favorite? ________

How many more students chose apple than banana? _________

Answer:

The favorite fruit = apple.

the least favorite = strawberry

The students choose apple than banana = 1

Explanation:

In the above-given figure,

The students who choose orange = 4

The students who choose strawberry = 2

The students who choose apple = 6

The students who choose banana = 5

The favorite fruit = apple.

the least favorite = strawberry

The students choose apple than banana = 1

**Apply and Grow: Practice**

Question 2.

Complete the picture graph.

How many students chose the most favorite bird? ________

How many students chose flamingo or penguin? _______

Answer:

The students who choose penguin = 7

the students who choose flamingo or penguin = 6 or 7

Explanation:

In the above-given figure,

the students who choose penguin = 7

the students who choose flamingo = 5

the students who choose own = 3

the students who choose parrot = 2

The students who choose penguin = 7

the students who choose flamingo or penguin = 6 or 7

Question 3.

Complete the picture graph.

Newton gives 4 coins to Descartes. How many coins does Newton have now? How do you know?

____________________

____________________

Answer:

Newton has zero coins.

Explanation:

In the above-given figure,

the newton has 4 coins.

Descartes has 6 coins.

I have 6 coins.

Given that newton gives 4 coins to Descartes.

so newton has 0 coins.

**Think and Grow: Modeling Real Life**

You ask 20 students to name their eye colors. 9 have brown eyes. 3 more students have brown eyes than blue eyes. The rest have green eyes. Complete the picture graph.

Answer:

The students who have green eyes = 8

Explanation:

In the above-given question, given that

9 have brown eyes.

3 students have blue eyes.

the students who have green = 8

20 – 8 = 12

9 + 3 = 12.

**Show and Grow**

Question 4.

You ask 15 students which community helper is their favorite. 6 choose police officer. 2 fewer students choose doctor than police officer. The rest choose firefighter. Complete the picture graph.

How did you find how many students chose firefighter?

Answer:

The students who choose firefighter = 5

Explanation:

The students who choose police officer = 6

The students who choose doctor = 2

The students who choose fire fighter= 5

8 + 5 = 15

15 – 10 = 5

### Make Picture Graphs Homework & Practice 13.3

Question 1.

Complete the picture graph.

Who has the least medals? _______

How many more medals do you have than your friend? _________

How many medals do Newton and Descartes have in all? ________

Answer:

Your friend has the least medals.

the medals I have more than my friend = 2

Newton and Descartes have all the medals = 11

Explanation:

In the above-given figure,

I have 4 medals.

my friend has 2 medals.

Newton has 5 medals.

descartes have 6 medals.

Question 2.

Complete the picture graph.

2 more students chose tomato soup. How many students chose tomato now? How do you know?

Answer:

The students who choose tomato soup = 8

Explanation:

In the above-given figure,

The students who choose alphabet = 7

The students who choose vegetable = 3

the students who choose tomato = 6

given that 2 more students choose tomato soup.

6 + 2 = 8

Question 3.

**Modeling Real Life**

You ask 20 students about their favorite way to exercise. 4 like to walk. 6 like to swim. The rest like to bike. Complete the picture graph.

How did you find how many students like to bike?

Answer:

The students who like to walk = 4.

The students who like to swim = 6.

Rest of the students who like bike = 10

Explanation:

In the above-given figure,

The students who like to walk = 4.

The students who like to swim = 6.

Rest of the students who like bike = 10

20 – 4 + 6

20 – 10

10

**Review & Refresh**

Question 4.

Answer:

415 – 273 = 142

Explanation:

415 – 273 = 142

Question 5.

Answer:

583 – 127 = 456

Explanation:

583 – 127 = 456

Question 6.

Answer:

892 – 105 = 787

Explanation:

892 – 105 = 787

### Lesson 13.4 Real and Interpret Bar Graphs

**Explore and Grow**

How are the tally chart and the bar graph the same? How are they different?

Based on the given values they are the same.

If they give different values they are different.

Answer:

The number of students who choose baseball = 6

The number of students who choose basketball = 5

The number of students who choose soccer = 7

Explanation:

In the above-given figure,

The number of students who choose baseball = 6

The number of students who choose basketball = 5

The number of students who choose soccer = 7

The students whose favorite spot = soccer.

**Show and Grow**

Question 1.

How many students chose computer? _______

Which activity is the least favorite? ________

Answer:

The students who choose computer = 8.

The least favorite activity = reading.

Explanation:

In the above-given figure,

The students who choose painting = 4

the students who choose computer = 8

the students who choose reading = 3

the students who choose games = 6

The students who choose computer = 8.

The least favorite activity = reading

**Apply and Grow: Practice**

Question 2.

How many students chose breakfast? _______

Which meal is the most favorite? ________

How many students chose the meal that is least favorite? ________

How many more students chose snack than lunch? _______

Answer:

The students who choose breakfast = 7.

the most favorite meal = Dinner.

The students chose the meal that is least favorite = 4

The students choose snack than lunch = 2

Explanation:

The students who choose breakfast = 7.

The students who choose lunch = 4.

The students who choose dinner = 9.

The students who choose snack = 6.

The students who choose breakfast = 7.

the most favorite meal = Dinner.

The students chose the meal that is least favorite = 4

The students choose snack than lunch = 2

Question 3.

**DIG DEEPER!**

Order the meals in Exercise 2 from the least favorite to the most favorite.

______, ______, ________, ________

Answer:

Lunch, snack, breakfast, and dinner.

Explanation:

In the above-given figure

given that order the meals from least favorite to the most favorite.

the least favorite = lunch.

the most favorite = dinner.

lunch, snack, breakfast, dinner.

**Think and Grow: Modeling Real Life**

A student chooses a food that has 1 more vote than eggs and toast combined. Which food does the student choose?

The student chooses ________.

Answer:

The students who choose 1 more than eggs = toast.

Explanation:

In the above-given figure,

The students who choose cereal = 9

The students who choose toast = 5

The students who choose pancakes = 8

The students who choose eggs = 3

The students who choose 1 more than eggs = toast.

**Show and Grow**

Question 4.

A student chooses an activity that has the same number of votes as crafts and hiking combined. Which activity does the student choose?

The student chooses ________

Answer:

The student who chooses an activity that has the same number of votes as crafts and hiking combined = Archery.

Explanation:

In the above-given figure,

the student who chooses archery = 6

the student who chooses crafts = 4

the student who chooses Hiking = 2

the student who chooses swimming = 7

The student who chooses an activity that has the same number of votes as crafts and hiking combined = Archery.

### Real and Interpret Bar Graphs Homework & Practice 13.4

Question 1.

How many students chose police officer? _________

How many more students chose teacher than nurse? _________

Answer:

The students who choose police officer = 7.

The more students choose teacher than nurse = 1

Explanation:

In the above-given figure,

The students who choose teacher job = 5

The students who choose police officer job = 7

The students who choose sports player job = 8

The students who choose nurse job = 4

The students who choose police officer = 7.

The more students choose teacher than nurse = 1

Question 2.

**Writing**

How can you use a bar graph to find how many students were surveyed?

__________________

__________________

Answer:

The number of students surveyed = 24 students.

Explanation;

In the above-given graph

The students who choose teacher job = 5

The students who choose police officer job = 7

The students who choose sports player job = 8

The students who choose nurse job = 4

The total number of students were surveyed = 24 students.

Question 3.

**Modeling Real Life**

Use the bar graph.

A student chooses a writing tool that has 3 fewer votes than crayon and marker combined. Which writing tool does the student choose?

The student chooses ______.

Answer:

The student chooses a writing tool that has 3 fewer votes than crayon and marker combined = pen.

Explanation:

In the above-given graph,

the student who chooses pencil = 4

the student who chooses pen = 6

the student who chooses crayon = 2

the student who chooses marker = 5

The student chooses a writing tool that has 3 fewer votes than crayon and marker combined = pen.

**Review & Refresh**

**Find the missing number.**

Question 4.

Answer:

576 + 153 = 729

Explanation:

729 – 576 = 153

Question 5.

Answer:

431 + 389 = 820

Explanation:

820 – 431 = 389

Question 6.

Answer:

128 + 521 = 649

Explanation:

649 – 128 = 521

### Lesson 13.5 Make Bar Graphs

**Explore and Grow**

Look at your Instrument Cards. Complete the tally chart and the bar graph.

Answer:

The students who choose drum = 2

The students who choose trumpet = 3

The students who choose tuba = 4

Explanation:

In the above-given figure,

The students who choose drum = 2

The students who choose trumpet = 3

The students who choose tuba = 4

**Show and Grow**

Question 1.

Complete the bar graph.

Which book type is the least favorite? _________

How many more students chose fiction than history? _______

Answer:

The least favorite book = history

The more students choose fiction than history = 3

Explanation:

In the above-given figure,

The students who choose history = 3

The students who choose fiction = 7

The students who choose science = 5

The students who choose poetry = 6

The least favorite book = history

The more students choose fiction than history = 3

**Apply and Grow: Practice**

Question 2.

Complete the bar graph.

How many raisins are there? _________

How many more almonds are there than dried fruit? _______

Answer:

The raisins are = 6

The more almonds are there than dried fruit = 3

Explanation:

In the above-given figure,

The number of peanuts = 9

the number of raisins = 6

The number of almonds = 7

the number of dried fruit = 4

The raisins are 6

the more almonds are there than dried fruits = 3

Question 3.

Complete the bar graph.

Which drink was chosen the most? _______

How many more people chose iced tea than water? _______

Answer:

The number of people who choose the drink most = Lemonade

The people who choose iced tea over water = 3

Explanation:

The number of people who choose water = 5

The number of people who chose fruit punch = 2

The number of people who choose lemonade = 9

The number of people who choose iced tea 8

The number of people who choose the drink most = Lemonade

The people who choose iced tea over water = 3

**Think and Grow: Modeling Real Life**

You classify 30 animals as fish, mammals, or reptiles.11 are fish. 7 are reptiles. The rest are mammals. Complete the bar graph.

Answer:

The mammals = 12.

Explanation:

In the above-given figure,

Given that the fishes are 11.

reptiles = 7

mammals = 12

11 + 7 = 18

30 – 18 = 12

**Show and Grow**

Question 4.

You ask 29 students if they want to collect seashells, fossils, or stickers. 8 said fossils. 12 said stickers. The rest said seashells. Complete the bar graph.

**DIG DEEPER!**

You ask 3 more students which object they want to collect. 1 said fossils. 2 said seashells. How many fewer students chose fossils than seashells now?

_______ students

Answer:

The fewer students choose fossils than seashells now = 2.

Explanation:

In the above-given figure,

The number of students who choose seashells = 9

The number of students who choose fossils = 8

The number of students who choose stickers = 12

given that 29 students.

11 + 9 = 20

29 – 20 = 9

Make Bar Graphs Homework & Practice 13.5

Question 1.

Complete the bar graph.

How many more votes did Spot receive than Sparkle? ______

Answer:

The more votes did spot receive than sparkle = 7

Explanation:

In the above-given figure,

The number of votes for spot = 9

The number of votes for sparkle = 2

The number of votes for flip = 7

The number of votes for star = 6

The more votes did spot receive than sparkle = 7

the spot receives 7 more votes than sparkle.

Question 2.

Complete the bar graph.

How many total animals are in the pet store? _______

Answer:

The total animals in the pet store = 20.

Explanation:

In the above-given figure,

Given that fish = 7

hamster = 5

snake = 4

rabbit = 4

total animals in the pet = 20 animals.

Question 3.

**Modeling Real Life**

You, your friend, and your cousin hand out a total of 25 flyers. You hand out 12. Your friend hands out 9. Your cousin hands out the rest. Complete the bar graph.

**DIG DEEPER!**

You hand out 1 more flyer. Your friend hands out4 more. How many fewer flyers does your cousin hand out than your friend now?

_______ flyers

Answer:

The many fewer flyers do your cousin hand out than your friend now = 9

Explanation:

In the above-given figure,

The flyers handed out by me = 12.

The flyers handed out by my friend = 9.

The flyers handed out by my cousin = 4.

given that flyers handed out by me = 12

totally there are 25 flyers.

12 + 9 = 25

**Review & Refresh**

Question 4.

861 − 410 = ______

Answer:

861 – 410 = 451

Explanation:

861 – 410 = 451

Question 5.

624 − 320 = ______

Answer:

624 – 320 = 304

Explanation:

624 – 320 = 304

### Lesson 13.6 Make Line Plots

**Explore and Grow**

How are the thumb lengths shown on the number line?

Answer:

The thumb lengths for thumb 1, thumb 4, thumb 7 = 4 cms.

thumb 2 , thumb 6 = 5 cms.

thumb 3 = 3 cm

thumb 5 = 6cm

Explanation:

In the above-given figure,

given the thumb lengths.

The thumb lengths for thumb 1, thumb 4, thumb 7 = 4 cms.

thumb 2 , thumb 6 = 5 cms.

thumb 3 = 3 cm

thumb 5 = 6cm

**Show and Grow**

Question 1.

Complete the line plot.

How many long jumps are 43 inches long? _____

What is the most common long jump length? ______ inches

Answer:

One long-jump is 43 inches long = child 3.

the most common long jump length = child 1 and child 4.

Explanation:

In the above-given figure,

given that the long jump lengths.

child 1 and child 4 = 41

child 2 = 44

child 5 = 45

One long-jump is 43 inches long = child 3.

the most common long jump length = child 1 and child 4.

**Apply and Grow: Practice**

Question 2.

Complete the line plot.

What is the most common puppy length? ______ inches

How many fewer puppies are 11 inches long than 10 inches long? ______

How many puppies are 8 or 9 inches long? ______

How many puppies are shorter than 11 inches? How do you know?

_____________________

____________________

Answer:

The most common puppy length = puppy 2, 3, 5, 6, and 7.

The fewer puppies are 11 inches longer than 10 inches long = puppy 1.

The puppies which are 8 or 9 inches long = 3 puppies.

The puppies which are shorter than 11 inches = 6 puppies.

Explanation:

In the above-given figure,

given the puppy lengths.

the puppy lengths with puppy 1 = 11 inches.

puppy 2 = 9 inches.

puppy 3 = 10 inches.

puppy 4 = 12 inches.

puppy 5 = 9 inches.

puppy 6 = 10 inches.

puppy 7 = 10 inches.

puppy 8 = 8 inches.

The most common puppy length = puppy 2, 3, 5, 6, and 7.

The fewer puppies are 11 inches longer than 10 inches long = puppy 1.

The puppies which are 8 or 9 inches long = 3 puppies.

The puppies which are shorter than 11 inches = 6 puppies.

**Think and Grow: Modeling Real Life**

9 people measure the length of a guitar. The line plot shows the measured lengths. How long do you think the guitar is? Explain.

______ inches

Answer:

The length of the guitar = 35 inches.

Explanation:

In the above-given figure,

the number of inches in guitar lengths are:

the guitar length with 34 inches.

the guitar length with 35 inches.

the guitar length with 36 inches.

Show and Grow

Question 3.

8 people measure the length of a playground. The line plot shows the measured lengths.How long do you think the playground is? Explain.

______ meters

**DIG DEEPER!**

Why are the measurements different?

Answer:

The length o the playground = 51 meters.

Explanation:

In the above-given figure,

the number of meters of playgrounds is:

given that 8 people measure the length of the playground.

6 people choose 50 meters.

1 people choose 49 meters.

1 people choose 48 meters.

### Make Line Plots Homework & Practice 13.6

Question 1.

Complete the line plot.

How many leaves are 13 centimeters long? _______

What is the most common leaf length? _______ centimeters

How many more leaves are 14 centimeters long than 12 centimeters long? ______

How many leaves are 14 or 15 centimeters? ________

Answer:

No leaves are 13 centimeters long.

the most common leaf lengths are leaf 2, leaf 3, and leaf 6.

the more leaves are 14 centimeters long than 12 centimeters long = leaf 1 and leaf 4.

The leaves are 14 or 15 centimeters = 5 leaves.

Explanation:

In the above-given figure,

given that, the leaf lengths.

the leaf 1 = 14 centimeters.

the leaf 2 = 15 centimeters

the leaf 3 = 15 centimeters

the leaf 4 = 14 centimeters

the leaf 5 = 12 centimeters

the leaf 6 = 15 centimeters

No leaves are 13 centimeters long.

the most common leaf lengths are leaf 2, leaf 3, and leaf 6.

the more leaves are 14 centimeters long than 12 centimeters long = leaf 1 and leaf 4.

The leaves are 14 or 15 centimeters = 5 leaves.

Question 2.

Complete the line plot.

How many sharks are longer than 14 feet? How do you know?

____________

Answer:

The sharks which are longer than 14 feet = 3 sharks.

Explanation:

In the above-given figure,

given that the shark lengths in feets.

shark 1 = 14

shark 2 = 15

shark 3 = 16

shark 4 = 14

shark 5 = 12

shark 6 = 16

The sharks which are longer than 14 feet = 3 sharks.

Question 3.

**Modeling Real Life**

8 people measure the length of a bus. The line plot shows the measured lengths. How long do you think the school bus is? Explain.

______ meters

Answer:

The length of the school bus = 105 meters.

Explanation:

In the above-given figure,

the lengths of the school bus is given.

given that 8 people measure the length of a bus.

the lone plot shows the measured lengths.

2 people measure the 14 meters.

1 people measure the 12 inches.

**Review & Refresh**

Question 4.

Answer:

127.

Explanation:

36 + 4 + 22 + 65

40 + 22 + 65

62 + 65

127

Question 5.

Answer:

208.

Explanation:

95 + 68 + 45

163 + 45

208

Question 6.

Answer:

226.

Explanation:

76 + 50 + 18 + 82

126 + 18 + 82

144 + 82

226

### Lesson 13.7 Measure Objects and Make Line Plots

**Explore and Grow**

Use a ruler to measure the caterpillars on Lengths of Caterpillars. Use the lengths to complete the chart and the line plot.

Answer:

The long length of the caterpillar = 9.

Explanation:

We have to assume the lengths of the cater pillars.

cater pillar 1 = 6 cms.

cater pillar 2 = 7 cms.

cater pillar 3 = 9 cms.

cater pillar 4 = 9 cms.

cater pillar 5 = 7 cms.

cater pillar 6 = 10 cms.

cater pillar 7 = 8 cms.

cater pillar 8 = 7 cms.

The long length of the caterpillar = 9

**Show and Grow**

Question 1.

Measure the lengths of 4 pencils. Complete the line plot.

What is the length of the longest pencil? _______ inches

How much longer is the longest pencil than the shortest pencil? _______ inches

Answer:

The length of the longest pencil = 10 inches.

The longer is the longest pencil than the shortest penccil = 5 inches.

Explanation:

In the above-given figure,

given that the length of the 4 pencils.

the length of the pencil 1 = 5 inches.

pencil 2 = 6 inches.

pencil 3 = 8 inches.

pencil 4 = 10 inches.

The length of the longest pencil = 10 inches.

The longer is the longest pencil than the shortest penccil = 5 inches.

**Apply and Grow: Practice**

Question 2.

Measure the lengths of 8 shoes. Complete the line plot.

What is the length of the longest shoe? ______ inches

What is the length of the shortest shoe? _______ inches

How much shorter is the shortest shoe than the longest shoe? _______ inches

You measure 5 more shoes and they are each6 inches long. How does the line plot change?

_________________________

_________________________

Answer:

The length of the longest shoe = 10 inches.

The length of the shortest shoe = 6 inches.

The shorter is the shortest shoe than the longest shoe = 5 inches.

The line plot changes.

Explanation:

In the above-given figure,

we have to assume the examples.

length of the shoe 1 = 6 inches.

length of the shoe 2 = 7 inches.

length of the shoe 3 = 6 inches.

length of the shoe 4 = 7 inches.

length of the shoe 5 = 8 inches.

length of the shoe 6 = 9 inches.

length of the shoe 7 = 10 inches.

length of the shoe 8 = 8 inches.

The length of the longest shoe = 10 inches.

The length of the shortest shoe = 6 inches.

The shorter is the shortest shoe than the longest shoe = 5 inches.

The line plot changes.

**Think and Grow: Modeling Real Life**

A fire station is building a new garage for emergency vehicles. Complete the sentence. Explain.

The garage should be more than _______ meters long.

____________________

Answer:

The garage should be more than 16 meters long.

Explanation:

In the above-given figure,

Given that the fire station is building a new garage for emergency vehicles.

the garage should be more than 6 meters long and the shorter than 16 meters long.

**Show and Grow**

Question 3.

You want to put some school supplies in a pencil box. Complete the sentence. Explain.

The pencil box should be more than _______ centimeters long.

______________________

Answer:

### Measure Objects and Make Line Plots Homework & Practice 13.7

Question 1.

Measure the lengths of 5 socks. Complete the line plot.

What is the length of the longest sock? ______ inches

What is the length of the shortest sock? _______ inches

How much longer is the longest sock than the shortest sock? _______ inches

Answer:

The length of the longest sock = 10 inches.

The length of the shortest sock = 7 inches.

The longer is the longest sock than the shortest sock = 3 inches.

Explanation:

In the above-given figure,

we have to assume the:

sock 1 = 7

sock 2 = 8

sock 3 = 8

sock 4 = 9

sock 5 = 10

The length of the longest sock = 10 inches.

The length of the shortest sock = 7 inches.

The longer is the longest sock than the shortest sock = 3 inches.

Question 2.

Measure the lengths of 4 hands. Complete the line plot.

How many hands are longer than 5 inches? How do you know?

__________________________

___________________________

Answer:

The hands that are longer than 5 inches = 3

Explanation:

We have to assume the hands in inches.

given that hand 1 = 7 inches.

hand 2 = 6 inches.

hand 3 = 5 inches.

hand 4 = 6 inches.

The hands that are longer than 5 inches = 3

Question 3.

**Modeling Real Life**

Newton wants to put his dog bones in a box. Complete the sentence. Explain.

The box should be more than ______ inches long.

____________________

Answer:

The bo should be more than 11 inches.

Explanation:

In the above-given figure,

Given that newton wants to put his dog bones in a box.

the box should be more than 11 inches.

the box should be less than 4 inches.

**Review & Refresh**

Question 4.

10 more than 347 is _______.

Answer:

357

Explanation:

Given that,

10 more than 347 = 357.

347 + 10 = 357

Question 5.

100 less than 926 is _________.

Answer:

826

Explanation:

Given that 100 less than 926 = 826

926 – 100 = 826

### Represent and Interpret Data Performance Task

You measure the lengths of 8 writing tools. The tools and their lengths are shown.

Question 1.

Organize the writing tool lengths on the line plot.

Answer:

The maximum length of the pencil = 12cms.

Explanation:

In the above-given figure,

given that

pencil 1 = 9 cm

pencil 2 = 9 cm

pencil 3 = 6 cm

pencil 4 = 9 cm

pencil 5 = 12 cm

pencil 6 = 12 cm

pencil 7 = 12 cm

pencil 8 = 12 cm

the maximum length of the pencil = 12 cms

Question 2.

Use the line plot to complete the equation. Why is the sum 8?

_____ + ______ + ______ = 8

Answer:

2 + 2 + 4 = 8

Question 3.

Measure your pencil. Add the length of your pencil to the line plot in Exercise 1.

Answer:

My pencil length is = 11 cms.

Explanation:

In the above-given figure,

given that

pencil 1 = 9 cm

pencil 2 = 9 cm

pencil 3 = 6 cm

pencil 4 = 9 cm

pencil 5 = 12 cm

pencil 6 = 12 cm

pencil 7 = 12 cm

pencil 8 = 12 cm

the maximum length of the pencil = 12 cms

Assuming my pencil length = 11 cms

Question 4.

Compare the lengths of your pencil and one of the writing tools above.

Answer:

The length of my pencil = 11 cms.

Explanation:

In the above-given figure,

given that

pencil 1 = 9 cm

pencil 2 = 9 cm

pencil 3 = 6 cm

pencil 4 = 9 cm

pencil 5 = 12 cm

pencil 6 = 12 cm

pencil 7 = 12 cm

pencil 8 = 12 cm

the maximum length of the pencil = 12 cms

Assuming my pencil length = 11 cms

### Represent and Interpret Data Activity

**Spin and Graph**

To Play: Spin 10 times. Complete the tally chart. Then complete the bar graph. Answer the Spin and Graph Questions about your graph.

Answer:

### Represent and Interpret Data Chapter Practice

**13.1 Sort and Organize Data**

Question 1.

Use the data to complete the tally chart.

How many students chose magic show? _______

Which event is the least favorite? __________

Answer:

The students who choose the magic show = 5 students.

The last favorite = dancing.

Explanation:

In the above-given figure,

The students who choose magic show = 5

The students who choose face painting = 4

The students who choose games = 2

The students who choose dancing = 1

The students who choose the magic show = 5 students.

The last favorite = dancing.

Question 2.

**Modeling Real Life**

You want to survey30 students. How many more students do you need to ask?

______ students

How many more students need to have red hair so that the numbers of students with red hair and blonde hair are equal?

______ students

Answer:

The more students need to ask = 3 students.

The more students need to have red hair so that the numbers of students with red hair and blonde hair are equal = 7 students.

Explanation:

In the above-given figure,

the hair color which is in red = 2

the hair color which is in black = 5

the hair color which is brown = 10

the hair color which is in blonde = 9

The more students need to ask = 3 students.

The more students need to have red hair so that the numbers of students with red hair and blonde hair are equal = 7 students.

**13.2 Read and Interpret Picture Graphs**

Question 3.

Which type of book do exactly 7 students like best? _______

How many more students chose magazine than fiction? ________

Answer:

The type of book does exactly 7 students like best = comics.

The more students choose magazine than fiction = 4.

Explanation:

In the above-given figure,

The students who choose comics = 7

The students who choose fiction = 4

The students who choose nonfiction = 5

The students who choose magazine = 8

The type of book does exactly 7 students like best = comics.

The more students choose magazine than fiction = 4.

**13.3 Make Picture Graphs**

Question 4.

Complete the picture graph.

How many fewer students chose tiger than cheetah? ______

How many students chose the least favorite cat? _______

How many students chose panther or lion? __________

Answer:

The fewer students choose tiger than cheetah = 4

The students who choose least favorite cat = tiger

the students who choose panther = 5

the students who choose lion = 4

Explanation:

In the above-given figure,

Given that,

The fewer students choose tiger than cheetah = 4

The students who choose least favorite cat = tiger

the students who choose panther = 5

the students who choose lion = 4

**13.4 Read and Interpret Bar Graphs**

Question 5.

How much rain fell on Tuesday? ______

Which day did it rain the least? _______

How much more rain fell on Monday than Wednesday? _________

Answer:

The rain fell on Tuesday = 3 inches.

The day it rains the least = thursday.

the more rain fell on Monday than Wednesday = 1 inch.

Explanation:

In the above-given graph,

the rain fell on Monday = 5 inches.

the rain fell on Tuesday = 3 inches.

the rain fell on Wednesday = 4 inches.

the rain fell on Thursday = 2 inches.

The rain fell on Tuesday = 3 inches.

The day it rains the least = Thursday.

the more rain fell on Monday than Wednesday = 1 inch.

13.5 Make Bar Graphs

Question 6.

Complete the bar graph.

How many hurricanes were there in 2012 and 2013? _______

Answer:

The hurricanes were there in 2012 and 2013 = 12.

Explanation:

In the above-given figure,

given that the hurricanes in the north Atlantic.

in 2012 = 10

2013 = 2

2014 = 5

2015 = 4

The hurricanes were there in 2012 and 2013 = 12.

**13.6 Read and Interpret Line Plots**

Question 7.

Complete the line plot.

How many feathers are longer than 13 centimeters? How do you know?

__________________

__________________

Answer:

The feathers which are longer than 13 centimeters = 2 feathers.

Explanation:

In the above-given figure,

The feathers with the lengths in centimeters.

feather 1 = 14 cms.

feather 2 = 13 cms.

feather 3 = 15 cms.

feather 4 = 12 cms.

The feathers which are longer than 13 centimeters = 2 feathers.

**13.7 Measure Objects and Make Line Plots**

Question 8.

Use an inch ruler to measure the lengths of 5 toys to the nearest inch. Then complete the line plot.

What is the length of the longest toy? _______ inches

Answer:

The length of the longest toy = 9inches.

Explanation:

In the above-given figure,

we have to assume that

the length of the toy 1 = 6 inches.

the length of the toy 2 = 7 inches.

the length of the toy 3 = 6 inches

the length of the toy 4 = 8 inches.

the length of the toy 5 = 9 inches.

The length of the longest toy = 9inches.