# Big Ideas Math Answers Grade 1 Chapter 11 Represent and Interpret Data

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## Big Ideas Math Book 1st Grade Answer Key Chapter 11 Represent and Interpret Data

Take the given pdf as a reference and score maximum marks in the exams. Big Ideas Math Answers Grade 1 Ch 11 Represent and Interpret Data helps you built self-confidence in yourself. Unlimited practice will make you master maths. In this chapter we will discuss the topics like Sort and Organize Data, Read and Interpret Picture Graphs, Bar Graphs, etc. It is necessary to practice with the Big Ideas Math Book 1st Grade Answer Key Chapter 11 Represent and Interpret Data to score maximum marks in the exams.

Lesson: 1 Sort and Organize Data

Lesson: 2 Read and Interpret Picture Graphs

Lesson: 3 Read and Interpret Bar Graphs

Lesson: 4 Represent Data

Lesson: 5 Solve Problems Involving Data

### Represent and Interpret Data Vocabulary

Organize It

Review Words:
category
mark

Use the review words to complete the graphic organizer.

Define It

Use your vocabulary cards to match.

Explanation:
Bar chart – AÂ bar graphÂ can beÂ definedÂ as a chart or a graphical representation of data, quantities or numbers usingÂ barsÂ or strips.
Picture graph – AÂ picture graph, orÂ pictograph, is aÂ graphÂ used to display information that uses images or symbols to represent data.
Tally chart – TallyÂ marks are a quick way of keeping track of numbers in groups of five. One vertical line is made for each of the first four numbers; the fifthÂ number is represented by a diagonal line across the previous four.

### Lesson 11.1 Sort and Organize Data

Explore and Grow

Explain how you can sort the objects.

Explanation:
Here we can classify the given data in two tabular forms .
In First tabular column we can classify it based on favorite item.
we have pencils – 3 ; Crayons – 3 and Markers – 3
In Second tabular column we can classify it based on favorite Color.
we have yellow color – 3 items , Green color – 3 items and Blue color – 3 items.

Show and Grow

Question 1.
Complete the tally chart.

Explanation:
Tally chart – TallyÂ marks are a quick way of keeping track of numbers in groups of five. One vertical line is made for each of the first four numbers; the fifthÂ number is represented by a diagonal line across the previous four.
As per the above given figure we can see the number of stickers in the given figure
we observe
The number of umbrellas – 4
The number of bucket – 5
The number of Crab – 6

Apply and Grow: Practice

Question 2.
Complete the tally chart.

Explanation:
As per the above given figure we can see the number of balls in the given figure
we observe
The number of balls Tally chart – Tally marks are a quick way of keeping track of numbers in groups of five. One vertical line is made for each of the first four numbers; the fifth number is represented by a diagonal line across the previous four.
The number of Foot balls – 5 + 3 = 8
The number of Soccer ball – 5
The number of Basket ball – 3

Question 3.
MP Reasoning
Which sentences are correct?

There are 7 tigers. The numbers of foxes and raccoons are the same.
There are 7 foxes. There are 3 raccoons.
The numbers of foxes and raccoons are the same and There are 7 foxes are true statements as per the given information in the tabular column .
Explanation:
There are 7 tigers statement is false because as per the tabular column there are 10 tigers
There are 3 raccoons statement is false because as per the tabular column there are 7 raccoons

Think and Grow: Modeling Real Life

How many sunny days are there? ________ days
Is the number of cloudy days greater than or less than the number of rainy days?
greater thanÂ  Â  Â  Â  Â  Â less than
Number of sunny days =Â  5 + 3 = 8
Number of cloudy days = 4
Number of rainy days = 3
Therefore Number of cloudy days are greater than Number of rainy days.
4 > 3 .
Explanation:
The above chart is represented in tally chart
Tally chart – Tally marks are a quick way of keeping track of numbers in groups of five. One vertical line is made for each of the first four numbers; the fifth number is represented by a diagonal line across the previous four.

Show and Grow

Question 4.

How many sunflowers are there? ___________ sunflowers
Is the number of roses greater than or less than the number of daisies?
greater thanÂ  Â  Â  Â  Â  Â less than
Number of sunflowers = 2
Number of roses = 5 + 1 = 6
Number of daisies =5 + 2 = 7
The Number of roses are lesser than number of daises
6 > 7
Explanation:
The above chart is represented in tally chart
Tally chart – Tally marks are a quick way of keeping track of numbers in groups of five. One vertical line is made for each of the first four numbers; the fifth number is represented by a diagonal line across the previous four.

### Sort and Organize Data Practice 11.1

Question 1.
Complete the tally chart.

Explanation:
As per the above given figure we can see the number of Insects
we observe
The number of Insects in Tally chart – Tally marks are a quick way of keeping track of numbers in groups of five. One vertical line is made for each of the first four numbers; the fifth number is represented by a diagonal line across the previous four.
The number of Caterpillars =5 + 2 = 7
The number of Flies = 5 + 3 = 8
The number of lady bugs = 2

Question 2.
MP Reasoning
Which sentences are correct?

9 students like princess movies.
4 students like superhero movies.
Princess movies are the most favorite
9 students like princess movies is correct
Princess movies are the most favorite is correct
Explanation:
As per the given tally chart of Favorite movie we notice
The number of students like super heroes movies= 5
The number of students like Princess movies = 5 + 4 = 9
The number of students like Mystery movies = 5
Princess movies are the most favorite is correct because more number of students likes this movie

Question 3.
Modeling Real Life
Use the tally chart.

How many students chose fruit? ________ students
Is the number of students who chose yogurt greater than or less than the number of students who chose cereal?
greater thanÂ  Â  Â  Â  Â  Â  Â  Â less than
Number of students chose fruit = 4 students.
Number of students chose Yogurt = 5 students.
Number of students chose Cereal = 5 + 1 = 6 students.
Number of students chose Yogurt are less than Number of students chose Cereal
5 < 6

Review & Refresh

Compare.

Question 4.
45 â—‹ 55
45 < 55

Question 5.
74 â—‹ 47
74 > 47

Question 6.
22 â—‹ 22
22 = 22

### Lesson 11.2 Read and Interpret Picture Graphs

Explore and Grow

How are the graphs similar? How are they different?

Each â—‹ = 1 counter.
The First picture is the Tally chart of Yellow and Red color counters.
Tally chart marks are a quick way of keeping track of numbers in groups of five. One vertical line is made for each of the first four numbers; the fifth number is represented by a diagonal line across the previous four.
In this tally chart we see Red color shows group of five counters and another 1 counter total = 5 + 1 = 6 counters.
Yellow color shows four counters with four vertical lines.
The second graph is the Picture graph. AÂ picture graph, orÂ pictograph, is aÂ graphÂ used to display information that uses images or symbols to represent data.
In this each counter is marked as â—‹. In this picture chart we notice the red color counter has 6 counters marked with 6 â—‹.
In the yellow color we have 4 counters marked with four â—‹ .
In both the charts the representation is different from each other .

Show and Grow

Question 1.

Each = 1 student.
How many students chose museum? _________
Which trip is the least favorite?
As we have 8 in the museum row that means 8 students chose the museum trip
as Each = 1 student
Number of students chose museum = 8
Number of students chose Zoo = 6
Number of students chose play = 2
The trip which is least favorite is play as only two students chooses it .

Apply and Grow: Practice

Question 2.

Each = 1 student.
How many students chose pasta? _________
How many students chose soup? _________
Which lunch is the least favorite?
As per the above picture graph we know Each = 1 student.
Number of students chose pasta = 5
Number of students chose soup = 3
Number of students chose Taco = 8
Explanation:
The least favorite lunch is soup because less students chooses it compared to pasta and Taco
Only 3 students chooses soup so it is least Favorite.

Question 3.
Writing
In Exercise 2. how do you know which lunch is the most favorite?

________________________________________

________________________________________

________________________________________
Number of students chose pasta = 5
Number of students chose soup = 3
Number of students chose Taco = 8
Taco is the favorite lunch
Explanation:
Taco lunch is chose by 8 number of students compared to soup and pasta 5 and 3 respectively.

Think and Grow: Modeling Real Life

Each = 1 student.
Is the number of students who chose rides greater than, less than, or equal to the number of students who chose animals?
greater thanÂ  Â  Â  Â  Â less thanÂ  Â  Â  Â  Â  Â  Â equal to
Number of students chose Rides are greater than number of students chose animals .
Explanation:
Each = 1 student.
Number of students chooses Rides = 5
Number of students chooses Animals = 2
Number of students chooses Games = 4
Number of students chose Rides are greater than number of students chose animals .
5 > 2 .

Show and Grow

Question 4.

Each = 1 student.
Is the number of students who chose frog greater than, less than, or equal to the number of students who chose bear?
greater thanÂ  Â  Â  Â  Â less thanÂ  Â  Â  Â  Â  Â  Â equal to
Number of students who chose frog are lesser than number of students chose bear.
Explanation:
Each = 1 student.
Number of students chooses frog = 3
Number of students chooses Bear = 6
3 < 6.
3 lesser than 6 so Number of students who chose frog are lesser than number of students chose bear.

### Read and Interpret Picture Graphs Practice 11.2

Question 1.

Each = 1 student.
How many students chose summer? ________
How many students chose fall? _________
Which season is the least favorite?
Each = 1 student.
Number of students chooses summer = 7
Number of students chooses Fall = 4
Winter is the least favorite among other seasons.
Explanation:
Number of students chose spring = 3
Number of students chooses summer = 7
Number of students chooses Fall = 4
Number of students chooses Winter = 1.
Among all 4 seasons only winter season is chosen by only one student compared to other seasons .

Question 2.
Writing
How do you know which category has the least when looking at a picture graph?

________________________________________

________________________________________

________________________________________
Winter
Explanation:
Less number of means less number of students chosen so Winter is least favorite has it has only one .

Question 3.
Modeling Real Life
Use the picture graph.

Each = 1 student.
Is the number of students who chose water greater than, less than, or equal to the number of students who chose juice?
greater thanÂ  Â  Â  Â  Â less thanÂ  Â  Â  Â  Â  Â  Â equal to
Number of students chooses water = Number of students chooses Juice .
Explanation:
Each = 1 student.
Number of students chooses water =4
Number of students chooses juice = 4
As both juice and water have equal number students that is 4 so both are equal .
Number of students chooses water = Number of students chooses Juice = 4

Review & Refresh

Question 4.
31 + 40 = ___________

Explanation:
Step 1: Write the numbers one below the other as per the places of the digits.
Step 2 :Start adding from the ones digit. Write the sum under the ones digit.If the sum of the ones digit is greater than 9, write the ones digit of the sum under the ones and carry forward its tens digit to the tens column.
Step 3: Add the tens digits.(If there was a carry forward digit, add it along)

Numbers are arranged as shown in above picture . then add the numbers in one place 1 + 0 = 1
Then add the values in tens place 3 + 4 = 7.
Therefore sum = 71
Lesson 11.3 Read and Interpret Bar Graphs

Question 5.
62 + 20 = ___________

Explanation:
Step 1: Write the numbers one below the other as per the places of the digits.
Step 2 :Start adding from the ones digit. Write the sum under the ones digit.If the sum of the ones digit is greater than 9, write the ones digit of the sum under the ones and carry forward its tens digit to the tens column.
Step 3: Add the tens digits.(If there was a carry forward digit, add it along)

Numbers are arranged as shown in above picture . then add the numbers in one place 2 + 0 = 2
Then add the values in tens place 6 + 2 = 8.
Therefore sum = 82

Explore and Grow

How are the graphs similar? How are they different?

Picture Graph – AÂ picture graph, orÂ pictograph, is aÂ graphÂ used to display information that uses images or symbols to represent data.
Here as per the given diagram the representation is done with
Bar Graph – A bar graphÂ can beÂ definedÂ as a chart or a graphical representation of data, quantities or numbers usingÂ barsÂ or strips.
Here as per the given diagram the representation is done in strips with different colors .

Show and Grow

Question 1.

How many students chose coins? ______________
Which object is the least favorite?
Number of students chooses coins = 6
The object which s least favorite is stickers
Explanation:
Number of students chooses Rocks = 4
Number of students chooses Stickers = 2
Number of students chooses Coins = 6
Compared with Rocks and Coins the stickers are chosen less that is only 2 students .
The object which s least favorite is stickers

Apply and Grow: practice

Question 2.

How many students chose card games?
____________

How many students chose board games?
____________

Which activity is the most favorite?

Number of students chooses card games = 5
Number of students chooses board games =6
The most favorite activity is Board games as it chosen by 6 number of students .
Explanation:
Number of students chooses card games = 5 (as bar is marked up to 5)
Number of students chooses board games =6 (as bar is marked up to 6)
Number of students chooses puzzles = 2 (as bar is marked up to 2)
Compared to card games and puzzles , the board games are chosen by more students that is 6 number of students.
So , The most favorite activity is Board games

Question 3.
DIG DEEPER!
Order the activities in Exercise 2 from the most favorite to the least favorite.

_____________, _____________, _____________
Board games (6) , Card games (5) and Puzzles (2).

Think and Grow: Modeling Real Life

Is the number of students who chose firefighter greater than, less than, or equal to the number of students who chose doctor?
greater thanÂ  Â  Â  Â  Â less thanÂ  Â  Â  Â  Â  Â  Â equal to
Number of students chooses firefighter are greater than number of students chooses than doctor .
Explanation:
Number of students chooses firefighter = 5 (bar is marked up to 5)
Number of students chooses Police Officer = 7 (bar is marked up to 7)
Number of students chooses Doctor =4 (bar is marked up to 4)
Compare the students of firefighter and Doctor = 5 > 4
So Number of students chooses firefighter are greater than number of students who chooses doctor .

Show and Grow

Question 4.

Is the number of students who chose bike greater than, less than, or equal to the number of students who chose kite?
greater thanÂ  Â  Â  Â  Â less thanÂ  Â  Â  Â  Â  Â  Â equal to
Number of students chooses bike are equal to the number of students who chooses kite.
Explanation:
Number of students chooses bike = 6
Number of students chooses kite = 6
Both have same number of students.
So Number of students chooses bike are equal to the number of students who chooses kite = 6

### Read and Interpret Bar Graphs Practice 11.3

Question 1.

How many students chose reading? _____________
How many students chose kickball? _____________
Which activity is the least favorite?
Number of students chooses Reading = 3
Number of students chooses Computer = 5
Explanation:
Number of students chooses Reading = 3 (the bar is marked up to 3)
Number of students chooses Computer = 5 (the bar is marked up to 5)
Number of students chooses Kickball = 6 (the bar is marked up to 6)
Among three activities the Reading is chosen by only 3 students .
Compared to other two activities it is less chosen byÂ  the students .

Question 2.
Writing
How do you know which category has the most when looking at a bar graph?

___________________________________________

___________________________________________

___________________________________________

___________________________________________
The category which has the most is Kick ball as it is marked up to 6 bars.
longer the bar marking the most favorite is the activity .

Question 3.
Modeling Real Life
Use the bar graph.

Is the number of pairs of shorts greater than, less than, or equal to the number of shirts?
greater thanÂ  Â  Â  Â  Â less thanÂ  Â  Â  Â  Â  Â  Â equal to
Number of pairs of shorts is lesser than the number of the shirts.
Explanation:
Number of Shirts = 5 (as the bar is marked up to 5 )
Number of Shorts = 4 (as the bar is marked up to 4 )
Number of Shirts are greater than Number of shirts = 5 > 4.
So, Number of pairs of shorts is lesser than the number of the shirts.

Review & Refresh

Question 4.
9 + 1 + 7 = ____________
9+ 1 + 7 = 17

Question 5.
6 + 3 + 6 = ___________
6 + 3 + 6 =15

### Lesson 11.4 Represent Data

Explore and Grow

Use your color tiles to complete the tally chart and the picture graph.

Each â—‹ = 1 color tile.

Number of Red Tiles = 4
Number of Blue Tiles = 6
Number of Yellow Tiles = 2
Bar chart – A bar graph can be defined as a chart or a graphical representation of data, quantities or numbers using bars or strips.
Tally chart – TallyÂ marks are a quick way of keeping track of numbers in groups of five. One vertical line is made for each of the first four numbers; the fifthÂ number is represented by a diagonal line across the previous four.

Show and Grow

Question 1.
Complete the bar graph.

Explanation:
We should complete the Bar graph using Tally graph
In tally graph it represent the numbers students who chooses the 3 different colors .
The number of students who chooses Blue color = 6 ( group of 5 + 1 )
The number of students who chooses pink color = 5 (group of 5 )
The number of students who chooses Yellow color = 2
The same is represented in the Bar chart representing the bars with respective colors and marking the respective number of students as per the color .

Apply and Grow: Practice

Question 2.
Complete the picture graph.

Explanation:
We should complete the Picture graph using Tally graph
In tally graph it represent the numbers students who chooses the 3 different Farm Animals .
The number of students who chooses Pig = 4
The number of students who chooses Cow = 6 ( group of 5 + 1 )
The number of students who chooses Horse = 5 ( group of 5 )
The same is represented in the Picture chart representing the Each Â  = 1 student with respective Farm Animals and marking the respective number of students in the picture graph

Question 3.
Complete the bar graph.

Explanation:
We should complete the Bar graph using Tally graph
In tally graph it represent the numbers students who chooses the 3 different Sports .
The number of students who chooses Swimming = 4
The number of students who chooses Karate = 2
The number of students who chooses Soccer = 5 (group of 5 )
The same is represented in the Bar chart representing the bars with Sports and marking the bars with respective number of students with different colors .

Think and Grow: Modeling Real Life

You ask 10 students whether they are right-handed or left-handed. 2 are left-handed. The rest are right-handed. Complete the picture graph.

Each = 1 student.

Explanation:
Number of students = 10
Number of students left handed = 2
Number of students Right handed = 10 – 2 = 8
Represent Eight Students with Eight in the above figure .

Show and Grow

Question 4.
You ask 11 students whether they like the swings or the slide. 5 like the swings. The rest like the slide. Complete the bar graph.

Explanation:
Number of students = 11
Number of students like swing = 5
Number of students like slide = 11 – 5 = 6
Mark the slide up to 6 with yellow color as bars.

### Represent Data Practice 11.4

Question 1.
Complete the bar graph.

Explanation:
We should complete the Bar graph using Tally graph
In tally graph it represent the numbers students who chooses the 3 different Winter Activities. .
The number of students who chooses Sledding = 6 (Group of 5 + 1)
The number of students who chooses Skating = 3
The number of students who chooses Snowman = 4
The same is represented in the Bar chart representing the barsÂ  and marking the bars with respective number of students with different colors .

Question 2.
Complete the picture graph.

Each â—‹ = 1 balloon.

Explanation:
We should complete the Picture graph using Tally graph
In tally graph it represent the numbers students who chooses the 2 different Balloons .
The number of students who chooses Blue balloon = 5 ( group of 5)
The number of students who chooses Red balloon = 2
The same is represented in the Picture chart representing the Each â—‹ = 1 balloon with respective Balloons color and marking the respective number of students in the picture graph

Question 3.
Modeling Real Life
You ask 8 students whether they buy or pack their lunches. 6 students buy. The rest pack. Complete the picture graph.

Each = 1 student.

Explanation:
Total Number of students = 8
Number of students who buys lunch = 6
Number of students who packs their lunches = 8 – 6 = 2
Now mark 2 in the pack category as 2 students pack there lunches in the picture graph

Review & Refresh

Find the sum. Then change the order of the addends. Write the new equation.

Question 4.
2 + 6 = _____________
_____________ + _____________ = _____________
2 + 6 = 8
6 + 2 = 8
Explanation:
Whatever may be the order of the addends the sum always will be the same .

Question 5.
_____________ = 8 + 1
_____________ = _____________ + _____________
9 = 8 + 1
9 = 1 + 8
Explanation:
Whatever may be the order of the addends the sum always will be the same.

### Lesson 11.5 Solve Problems Involving Data

Explore and Grow

Complete the bar graph to show 19 toys in all.

Explanation:
Total Number of Toys = 19
Number of Stuffed animals = 6
Number of Cars = 8
Number of Dinosaurs = 5
The same is represented in the Bar chart representing the barsÂ  and marking the bars with respective number of Toys with different colors .
My Partner answered the question with different numbers. but the overall number of toys = 19 .

Show and Grow

Question 1.

Each = 1 student.
How many more students like butterflies than birds? _________ students
How many students were asked? _________ students
Number of students like bats = 4
Number of students like butterflies = 7
Number of students like birds = 6
Number of more students like butterflies than birds = 7 – 6 = 1 students
Number of students asked = total number of students
Total number of students = Number of students like( Bats + Butterflies + Birds ) = 4 + 7 + 6=17.
Therefore Number of students asked = 17.

Apply and Grow: Practice

Question 2.

Each = 1 student.
How many fewer students chose circle than square? _________ fewer students
How many students chose square or triangle?_________ students
Number of students chooses square = 7
Number of students chooses Circle = 5
Number of students chooses Triangle = 7
Number of Fewer students chose circle than square = 7 – 5 = 2 students
Number of students chooses square = Number of students chooses Triangle = 7

Question 3.
DIG DEEPER!
You ask 9 students to name their favorite rainy-day activity. Complete the bar graph to show how many chose reading. Think: How do you know?

Number of students asked favorite rainy-day activity = 9
Number of students likes Games = 3
Number of students likes Painting = 1
Number of students likes Reading = total number of students – games – painting =9 – 3 – 1
= 9 – 4 = 9 – 5
Number of students likes Reading = 5
Explanation:
Now the number of students like reading is marked with bars up to 5 with Yellow color as shown in the below figure .

Think and Grow: Modeling Real Life

Write and answer a question using the bar graph.

________________________________________

________________________________________

________________________________________
How many more hits did Newton hit than Descartes? _________ More Hits
Number of Hits by me = 4
Number of hits by Newton = 5
Number of hits by Descartes = 2
Number of more hits by Newton than Descartes = 5 – 2 = 3

Show and Grow

Question 4.
Write and answer a question using the tally chart.

________________________________________

________________________________________

________________________________________
Who Laps more runs than me ? ________ runs.
Number of lap runs by me = 2
Number of lap runs by Descartes = 5 ( group of 5)
Number of lap runs by Newton = 1.
Descartes lap runs more than me
Number of lap runs more than me = 5 – 2 = 3.
Therefore number of runs more than me by Descartes = 3

### Solve Problems Involving Data Practice 11.5

Question 1.

How many more dogs are there than penguins? _________ more dogs
How many bears and dogs are there in all? _________ bears and dogs
Number of Bears = 7
Number of Penguins = 2
Number of Dogs = 5
Number of dogs more than penguins = 5 – 2 = 3
3 more dogs are there than penguins
Number of Bears and Dogs = 7 + 5 = 12

Question 2.
DIG DEEPER!
You ask 19 students to name their favorite fruit. Complete the tally chart to show how many chose apples. Explain how you know.

________________________________________

________________________________________

________________________________________
Total Number students = 19
Number of students like Banana = 5+2 = 7
Number of students like Orange = 2
Number of students like apple = 19 – 7 – 2 = 19 – 9 = 10
Explanation:
Now mark 10 apples in the above tally graph with 2 sets of group of 5.

Question 3.
Modeling Real Life
Write and answer a question using the bar graph.

________________________________________

________________________________________

________________________________________
How many more students like potato than carrot ? _________ more Potatoes .
Explanation:
Number of students like carrots = 3
Number of Students like Potatoes = 6
Number of more students like potatoes than carrots = 6 – 3 = 3
Therefore 3 more students like potatoes than carrot .

Review & Refresh

Question 4.
51 + 40 = __________

Question 5.
76 + 3 = __________

### Represent and Interpret Data Performance Task

Question 1.

Total number of class mates = 15
Number of class mates with black eye color = 9
Number of class mates with brown eye color = 4
Number of class mates with blue eye color = 2
All the above data is marked in the tally graph as shown in above figure .

Question 2.
Use your tally chart to complete the bar graph.

Question 3.
Describe two ways to tell how many students you asked.

________________________________________

________________________________________
Number of students with black eyes = 9
Number of students with brown eyes = 4
Number of students with blue eyes = 2
The Total Number of students asked = Number of students with (black eyes + brown eyes + blue eyes)
= 9 + 4 = 2 = 15
By counting the number of bars will also say the total number of students .

Question 4.

________________________________________

________________________________________
Is the number of Students with brown greater than, less than, or equal to the number of students with blue eyes?
greater thanÂ  Â  Â  Â  Â less thanÂ  Â  Â  Â  Â  Â  Â equal to
Explanation:
Number of students with brown eyes = 4
Number of students with blue eyes = 2
Therefore Number of students with brown eyes are greater than number of students with blue eyes.

### Sort and Organize Data Homework & Practice 11.1

Complete the tally chart.

Question 1.

Explanation:
The above chart is represented in tally chart of Number of Cars
Tally chart – Tally marks are a quick way of keeping track of numbers in groups of five. One vertical line is made for each of the first four numbers; the fifth number is represented by a diagonal line across the previous four.
Number of red cars = 4 (represented with four vertical lines)
Number of white cars = 3 (represented with three vertical lines)
Number of blue cars = 5 (represented with four vertical lines and the fifth number is represented by a diagonal line across the previous four)

Question 2.

Explanation:
Explanation:
The above chart is represented in tally chart of Number of pets
Tally chart – Tally marks are a quick way of keeping track of numbers in groups of five. One vertical line is made for each of the first four numbers; the fifth number is represented by a diagonal line across the previous four.
Number of Cats = 4 (represented with four vertical lines)
Number of Dogs = 2 (represented with two vertical lines)
Number of Fishes = 8 (represented with four vertical lines and the fifth number is represented by a diagonal line across the previous four and three vertical lines)

### Read and Interpret Picture Graphs Homework & Practice 11.2

Question 3.

Each = 1 student.
How many students chose science? ____________
Which subject is the least favorite?
Numbers of Students Who likes Art = 5
Number of students who likes Math = 6
Number of students who likes Science = 4
Among the three subjects the less favorite subject is Science .
As it has less number of students .

### Read and Interpret Bar Graphs Homework & Practice 11.3

Question 4.

How many students chose turtle? __________
Which is the most favorite sea creature?
Number of students choose turtle = 5
Number of students choose jellyfish = 2
Number of students choose Shark = 6
Among the three sea creature shark was chosen by more number of student compared with other two .
Therefore Most Favorite sea creature is Shark .

### Represent Data Homework & Practice 11.4

Question 5.
Complete the bar graph.

Explanation:
We should complete the Bar graph using Tally graph
In tally graph it represent the numbers Beads of 3 different colors.
The number of Beads of Blue color = 5 ( group of 5)
The number of Beads of Red color = 2
The number of Beads ofÂ  Yellow color = 4
The same is represented in the Bar chart representing the bars with respective colors and marking the respective number of Beads as per the color .

Question 6.
Modeling Real Life
You ask 13 students whether they like volleyball or basketball. 7 like volleyball. The rest like basketball. Complete the picture graph.

Each = 1 student.
Total Number of Students = 13
Number of Students who likes Volley ball = 7
Number of students who likes Basketball = 13 – 7 = 6
Now Number of students who likes basketball is represented with 7 in the above figure.

### Solve Problems Involving Data Homework & Practice 11.5

Question 7.

How many fewer students chose green than purple? ____________ fewer students
How many students were asked? ____________ students
Number of Students who like purple = 5 + 4 =9
Number of Students who likes Green = 5
Number of Students who likes Orange = 2
Number of Fewer Students choose Green than purple = 9 – 5 = 4
Number of Students were asked =Numbers of Students who likes (purple + green +orange )
= 9 + 5 + 2 = 16
Therefore Number of Students were asked = 16

Question 8.
Modeling Real Life
Write and answer a question using the bar graph.

________________________________________

________________________________________
How many students were asked? ____________ students
Number of Students who like Computer = 4
Number of Students who likes Stuffed Animals = 3
Number of Students who likes Train = 6
Number of Students were asked =Numbers of Students who likes (Computer + Stuffed Animals + Train )
= 4 + 3 + 6 = 13
Therefore Number of Students were asked = 13

### Represent and Interpret Data Cumulative Practice

Question 1.
Match each number on the left with a number that is 10 more.

Question 2.
Complete.

56 + 6 = __________
56 + 6 = 62
60 + 2 = 62

Question 3.
Order from shortest to longest.

____________, ____________, ____________
Yellow , Blue , Red
Explanation:
Red is the longest line
Blue is second longest line
Yellow is third line which is less than both

Question 4.
Shade the circle next to the number that tells how many horns there are.

â—‹ 3
â—‹ 10
â—‹ 6
â—‹ 19
Number of horns = 5 + 5 = 10

Question 5.
Shade the circle next to the sum.
12 + 5 = ____________
â—‹ 15
â—‹ 17
â—‹ 16
â—‹ 7
12+5=17

Question 6.
There are 85 pages in a book. You read 10 of them. How many pages are left?

â—‹ 95
â—‹ 85
â—‹ 75
â—‹ 80

Explanation:
Total Number of pages in a book = 85
Number of pages read by me = 10
Remaining number pages left to read = 85 – 10 = 75.

Question 7.
Is each sentence true?
52 is greater than 36.Â  Â  Â  Â YesÂ  Â  Â  Â  Â No
100 < 90 Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â YesÂ  Â  Â  Â  Â No
75 is less than 57.Â  Â  Â  Â  Â  Â  YesÂ  Â  Â  Â  Â No
89 > 81Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  YesÂ  Â  Â  Â  Â No

Question 8.
You collect 22 cans for a food drive. Your friend collects 36. How many cans do you and your friend collect in all?

______________ cans
Total Number of Cans collected by me = 22
Total Number of cans collected by my friend = 36
Total Number of cans collected by me and my friend = 22 + 36 = 58

Question 9.
Measure.

we need to know the measure of the given figure
From the above figure it is clearly marked that it measures 13 cms long .

Question 10.
Shade the circles next to the choices that match the model.

â—‹ 50 – 30
â—‹ 5 tens – 2 tens
â—‹ 50 – 20
â—‹ 3 tens – 2 tens

Explanation:
We notice in the given figure we have 5 tens in that 2 tens were crossed that means 2 tens were subtracted so remaining number of tens = 5 tens – 2 tens .

Question 11.

How many students chose ham? ___________

Which sandwich is the least favorite?

As per the given bar graph we observe
Number of students choose hamÂ  = 2
Numbers of students choose turkey = 4
Number of students choose Cheese = 4
Number of students choose turkey = Number of students choose Cheese = 4
So only ham is left with 2 less than turkey and cheese
Therefore ham sandwich is the least favorite

Question 12.
Use each card once to write an addition equation.

___________ + ___________ = ___________