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MATHEMATICS
Quarter 4 – Module 6
Interpreting/Drawing Inferences Based on
Data Presented and Solving Routine and Non-
Routine Problems in a Single/Double
Vertical or Horizontal Bar Graphs
Mathematics – Grade 4
Alternative Delivery Mode
Quarter 4 – Module 6: Interpreting/Drawing Inferences Based on Data Presented
and Solving Routine and Non-Routine Problems in a Single/Double Vertical or
Horizontal Bar Graphs
First Edition, 2020

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Published by the Department of Education

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Undersecretary: Diosdado M. San Antonio

Development Team of the Module

Writer: Lorraine Nicole Fernandez
Editors: Annie H. Piñero, Maribeth S. Rodriguez, Jufel G. Pagaygay, Mary Claire S.
Concepcion
Reviewers: Annie H. Piñero, Maribeth S. Rodriguez, Jufel G. Pagaygay, Mary Claire S.
Concepcion
Illustrator: Lorraine Nicole Fernandez
Layout Artist: Lorraine Nicole Fernandez, Mary Claire S. Concepcion
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Mathematics
Quarter 4 – Module 6:
Interpreting/Drawing Inferences
Based on Data Presented and
Solving Routine and Non-Routine
Problems in a
Single/Double Vertical or
Horizontal Bar Graphs
 I

LEARNING COMPETENCIES:

▪ Interprets data presented in different kinds of bar graphs (single/double

vertical or horizontal bars) (M4SP-IVg-3.4)

▪ Draws inferences based on data presented in a double-bar graph

(M4SP-IVh-5.4)

▪ Solves routine and non-routine problems using data presented in single

and double bar graphs (M4SP-IVh- 4.4)

OBJECTIVES:
K: Interpret and draw inferences on data presented in
different kinds of bar graphs (single/double vertical or
horizontal bars

S: Solve routine and non-routine problems using data

presented in single and double bar graphs

A: Show creativity in making single/double

horizontal or vertical bar graphs

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 I

Directions: Read and understand the situation below. Then answer the
questions that follow based on the graph presented. Write your
answer in your notebook.

Maria made a survey on her classmates’ favorite cake flavor. 25 of her

classmates answered vanilla, 20 answered chocolate, 15 answered red
velvet and 15 also for strawberry.

Favorite Cake Flavor

25
Number of Votes

20

15

10

Vanilla Choco- Straw- Red

late berry Velvet

Cake Flavor

Based on the graph presented, answer the following questions:

1. What is the title of the bar graph?

2. What is found in the horizontal axis?
3. What is found in the vertical axis?
4. What are being compared? _
5. What cake flavor has the greatest number of votes?

6. What cake flavor has the least number of votes?

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7. How many votes are there in vanilla and red velvet flavors?

8. How many more votes are in favor of chocolate than strawberry? __

9. Why do you think vanilla has the greatest number of votes?

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 Lesson Interpreting Data and Solving Routine
and Non-Routine Presented in a
Single/Double Vertical or Horizontal
Bar Graphs

’s In

Let’s Review!
Directions: Label the parts of a bar graph. Choose your
answer inside the box and write it on your notebook.

Horizontal Axis Title Key

Scale Vertical Axis

1. Favorite Type of Movie

250
Number of People

200 3.
150
2.
100

50

C A R D 4.

Colors
C- Comedy R-Romance
A- Action D- Drama

5.

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 ’s New

Mrs. Llorente asked her grade 4 pupils on their favorite color.

She collected the data and made two bar graphs out of it. Let us
see what she made!

Favorite Color

10 Favorite Color
Number of Pupils

R
8
Colors
B
6 G
Y
4 2 4 6 8 10
2 Number of Pupils
R- red G- green
R B G Y B- blue Y- yellow
Colors Single Horizontal Bar Graph
R- red G- green
B- blue Y- yellow
Single Vertical Bar Graph

What can you say about the bar graphs? How will you interpret
the bar graphs? Are the two graphs the same? How do they differ
from each other?

is It

Bar graphs can be single or double, vertical or horizontal. The

type of graphs shown above are single vertical (left) and single
horizontal (right) bar graphs. Both graphs have the same data, but
they differ in the way they are presented. A bar graph has two
axes, the horizontal axis and vertical axis. A bar graph is used to
compare data

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from different groups or periods. Data is a collection of gathered
information (Tabilang et. al. 2015, p. 246).

Below is a single bar graph presented earlier. Now, let’s study and
analyze the graph.

Favorite Color

10 Favorite Color
R
Number of Pupils

8
B

Colors
6 G
Y
4 2 4 6 8 10
2 Number of Pupils
R- red G- green
R B G Y B- blue Y- yellow

Colors Single Horizontal Bar

R- red G- green
B- blue Y- yellow
Single Vertical Bar Graph

Study and answer the following questions.

1. What is the title of the bar graph?
2. In the vertical bar graph, what information is placed along
the horizontal axis? on the vertical axis?
3. In the horizontal bar graph, what information is placed along
the horizontal axis? on the vertical axis?
4. What color is the favorite of most pupils?
5. How many pupils like blue?
6. What color is the second choice?
7. How many more pupils like red than green?
8. What is the total number of pupils who like red, blue, green
and yellow?

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 Another type of graph that can be presented is double bar
graph. Double bar graphs help us to compare or present more
than one kind of information instead of just one by using bars.
Like single bar graphs, double bar graphs can be vertical or
horizontal.

The graphs below are examples of double vertical and double

horizontal bar graphs. These bar graphs have two axes, the
horizontal axis and vertical axis.

Sport Choices

30

25 Sports Choices
Number of Pupils

Basketball
20
Sports

15 Swimming

10 5 10 15 20 25 30
5 Number of Pupils
Key:
Basket- Swim- Light Bar – Boys
ball ming Dark Bar – Girls
Sports
Key: Double Horizontal Bar Graph
Light Bar – Boys
Dark Bar – Girls
Double Vertical Bar Graph

Double Vertical Bar Graph

1. What is the title of the double vertical bar graph?

2. What information is placed along the horizontal axis? along
the vertical axis?
3. What different groups of data are being compared?
4. What sport is the most favorite of the pupils?
5. How many pupils like swimming?

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 6. How many more boys than girls like basketball?
7. Why do you think boys love basketball than girls?

Double Horizontal Bar Graph

1. What is the title of the double vertical bar graph?
2. What information is placed along the horizontal axis?
along the vertical axis?
3. What different groups of data are being compared?
4. How many boys chose basketball?
5. How many girls like swimming?

Note that bar graphs are important because they are easily
understood when comparing different groups of data. Particularly
when the data is larger, bar graph is the best option to represent it.

’s More

Directions: Read and analyze the situations below. Answer the

following questions on your notebook.

1. Mang Jose harvested different kinds of fruits from his farm. The graph
below shows the fruits he harvested by kilograms:
Fruits Harvested in Kilograms
Banana
Mango
Fruits

Papaya
Orange
10 20 30 40 50
Number of Kilograms
Questions:

a. What is the title of the bar graph? _____________________

b. What is found in the horizontal axis?___________________

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 c. What is found in the vertical axis? ____________________
d. How many more kilograms of banana were harvested than mango?
_______________________________________
e. If you combine the kilogram of banana and mango and compare it
against the kilogram of orange and papaya, which combined fruits
have the most kilograms? _________

2. Mr. Peter owns two kitchen appliance stores. He compares the sales of
two stores and recorded the information in a bar graph.

Comparing Sales
Store A Store B
Number of Items Sold

50
45
40
35
30
25
20
15
10
5
0
Refrigerator Mixer Oven Blender Rice Cooker
Kitchen Appliances

a. Which item sold the most in Store B? ______________

b. Which store sold the least number of mixers? ________
c. The number of refrigerators sold by Store A is twice of Store B.
Is it correct? __________________
d. What is the difference on sales of blenders between Store A
and Store B? ________________________
e. How many total appliances were sold by Store A? _____

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 I Have Learned

Fill in the blanks with the correct answer based on the data
presented in the double-bar graph. Choose your answers inside the
box below and write it on your notebook.

Favorite Ice Cream

Mango
Chocolate
90
80
Number of Pupils

70
60
50
40
30
20
10
0
Grade 1 Grade 2 Grade 3 Grade 4
Grade Level

1. The title of the double-bar graph is .

2. The flavors of ice cream being compared are and
.
3. The most favorite ice cream flavor of Grade 3 is .
4. The least favorite ice cream flavor of Grade 2 is .
5. There are pupils in all who liked chocolate.

230 240 Favorite Ice Cream

strawberry mango chocolate

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 I Can Do

Analyze the double-bar graph below. Then, answer the following questions. Write
your answers on your notebook.

Sales of Different Ice Cream Flavors

120 Shop A
110
100 Shop B
Number of ice cream sold

90
80
70
60
50
40
30
20
10
0
Mango Ube Chocolate Strawberry Vanilla
Flavors
Questions:

1. How many Vanilla ice cream were sold by Shop A?

2. Which flavor of ice cream do people like most in Shop A?
3. Find the total numbers of Ube ice cream sold by Shop A and Shop B.

4. Which shop sold 30 Strawberry ice cream?

5. Find the total number of Chocolate ice cream sold by Shop A and
Shop B.
6. Which flavor of ice cream do people like most in Shop B? Chocolate or
Vanilla?

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Directions: Read and understand the situations below. Then
answer the questions that follow based on the graph presented.
Write your answer on your notebook.

1. Miss Reyes, a teacher of a certain school, recorded details of

her pupils’ favorite subjects in a bar graph. Use the graph to
answer the questions.

Favorite Subjects
S
M
Subjects

E
F
2 4 6 8 10 12
Number of Pupils
S- Science E- English
M- Math F- Filipino

a. What is the title of the horizontal bar graph above?

b. What is found in the horizontal axis? vertical axis?
c. What is the total number of pupils who like Filipino, Science,
and English?

2. Mrs. Evelyn owns bakery stores in Makati and Caloocan. She

compares the sales of both the stores and records the
information in a bar graph.

Comparing Sales
Makati Caloocan
80
Number of Items

70
60
50
40
30
20
10
0
Empanadas Hopia Pandesal Siopao Pan de Coco
Bakery items

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4. How many empanadas were sold by the bakery store in Makati?
5. Which item was most popular among the customers?
6. How many pandesal were sold by both the stores?
7. Which store sold the least number of hopia?
8. How many more pan de cocos were sold than siopao at the
store in Caloocan?

Study and analyze the bar graph below to answer the following questions. Write
your answer on your notebook.

Minutes of Homework
50
Number of Minutes

40

30

20

10

Ms. Villa Mrs. Mrs.

Legarda Casipong
Teachers
Key:
Light Bar – Wednesday
Dark Bar – Thursday

1. What is the title of the graph?

2. What information is found in the vertical axis? horizontal axis?
3. What was the average minutes of homework of the 3 teachers on
Wednesday? on Thursday?
4. What day has the highest minutes of homework? Why do you think it
had the highest minutes?

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Reference
Tabilang, Alma et. al. Mathematics-Grade 4: Learner’s Material. 1st ed. 2015,
246.

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For inquiries or feedback, please write or call:

Department of Education – Schools Division of Negros Oriental

Kagawasan, Avenue, Daro, Dumaguete City, Negros Oriental

Tel #: (035) 225 2376 / 541 1117

Email Address: negros.oriental@deped.gov.ph
Website: lrmds.depednodis.net