7 APPROPRIATE GRAPHS TO REPRESENT ORGANIZED DATA - 4th QUARTER - Module 5: Department of Education - ZNNHS
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Republic of the Philippines
Department of Education
Regional Office IX, Zamboanga Peninsula
7 Zest for Progress
Z Peal of artnership
4th QUARTER – Module 5:
APPROPRIATE GRAPHS TO REPRESENT
ORGANIZED DATA
Name of Learner: ___________________________
Grade & Section: ___________________________
Name of School: ___________________________
Mathematics – Grade 7
Alternative Delivery Mode
Quarter 4 - Module 5: Appropriate Graphs to Represent Organized Data
First Edition, 2020
Republic Act 8293, section 176 states that: No copyright shall subsist in any work of
the Government of the Philippines. However, prior approval of the government agency or
office wherein the work is created shall be necessary for exploitation of such work for profit.
Such agency or office may, among other things, impose as a condition the payment of royalty.
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trademarks, etc.) included in this module are owned by their respective copyright holders.
Every effort has been exerted to locate and seek permission to use these materials from their
respective copyright owners. The publisher and authors do not represent nor claim ownership
over them.
Published by the Department of Education
Secretary: Leonor Magtolis Briones
Undersecretary: Diosdado M. San Antonio
Development Team of the Module
Writer: Juliet L. Pausal
Editors: Shirley U. Yap
Francis Michael E. Francisco
Layout Artist: Abdurauf J. Baldomero
Reviewers: EPS, Mathematics Vilma A. Brown, Ed. D.
Principal Salvador C. Bucoy, LMD
Management Team: SDS Roy C. Tuballa, EMD, JD, CESO VI
ASDS Jay S. Montealto, CESO VI
ASDS Norma T. Francisco, DM, CESE
EPS Mathematics Vilma A. Brown, Ed. D.
EPS LRMS Aida F. Coyme, Ed. D.
Printed in the Philippines
Department of Education – Region IX, Zamboanga Peninsula
Office Address: Tiguma, Airport Road, Pagadian City
Telefax: (062) – 215 – 3751; 991 – 5975
E-mail Address: region9@deped.gov.ph
1
Introductory Message
This Self–Learning Module (SLM) is prepared so that you, our dear learners, can continue
your studies and learn while at home. Activities, questions, directions, exercises, and
discussions are carefully stated for you to understand each lesson.
Each SLM is composed of different parts. Each part shall guide you step-by-step as you
discover and understand the lesson prepared for you.
Pre-tests are provided to measure your prior knowledge on lessons in each SLM. This will tell
you if you can proceed on completing this module or if you need to ask your facilitator or your
teacher’s assistance for better understanding of the lesson. At the end of each module, you
need to answer the post-test to self-check your learning. Answer keys are provided for each
activity and test. We trust that you will be honest in using these.
In addition to the material in the main text, notes to the Teacher are also provided to our
facilitators and parents for strategies and reminders on how they can best help you on your
home-based learning.
Please use this module with care. Do not put unnecessary marks on any part of this SLM. Use
a separate sheet of paper in answering the exercises and tests. Read the instructions carefully
before performing each task.
If you have any questions in using this SLM or any difficulty in answering the tasks in this
module, do not hesitate to consult your teacher or facilitator.
Thank you.
What I Need to Know
This module aims to use graphs to represent organized data: pie chart, bar
graph, line graph, histogram, and ogive. (M7SP – Ivd – e – 1)
In this module, the learner is expected to:
⚫ differentiate the different graphs used to represent organized data.
⚫ use appropriate graphs to represent a given organized data: pie chart, bar
graph, line graph, histogram, and ogive.
What I Know
Directions: Choose the letter that corresponds to your answer.
1. What type of graph can be used to show the relation of a part to the whole?
a. line graph b. bar graph c. pie chart d. ogive
2
2. Which of the following graphs is appropriate to use when we want to show the
exact values of the frequencies of the data set?
a. line graph b. bar graph c. pie chart d. histogram
3. What type of graph can be used to show the cumulative frequencies of data points
that are less than and more than the value in a data set?
a. bar graph b. ogive c. line graph d. pie chart
4. What graph is appropriate to be used in the given data?
Color No. of balloon a. pie chart
Red 18 b. ogive
blue 15 c. line graph
yellow 12 d. histogram
orange 10
Total 55
5. What graph is appropriate to use if you want to know the income of your Sari-Sari
store for one week?
a. bar graph b. ogive c. line graph d. pie chart
What’s In
Last week, we learned the different graphs and all these graphs used in
displaying data.
Pie Chart Bar Graph
Displaying
Line Graph Data Histogram
Ogive
QUESTION: How are these graphs differ?
3
What’s New
Directions: Look at the data below and answer the question on a separate sheet.
The data show the number of copies of newspaper distributed to household.
Year 2011 2012 2013 2014 2015
Number of copies
265 270 285 310 290
(in thousand)
Question: What do you think is the appropriate graph for this data? Justify your
answer.
LESSON Graphs to represent organized
2 data
What is It
The following are the graphs and its usage for the organized data.
TYPE OF
GRAPH STRUCTURE DATA TO USAGE
USE
Used to show the
Circle: divided by Categorical
PIE CHART relation of a part to the
sector/slice data
whole.
Bar: height of the bar
depends upon frequency
of the data given and the
Used to compare
BAR GRAPH width must be one the Categorical
between given data.
same size. The bars have data
distinct category so there
are gaps between bars.
Used to show the rising
LINE Line: points are connected Quantitative
and falling of trends over
GRAPH by a line data
a period of time.
4
Bar: The higher the bar is,
the greater the frequency Used to show
of data values in that class. distributions of variables
Quantitative
HISTOGRAM The continuous data in the that indicate the number
data
axis shows that the graph of data points the lie
has no space between within a range of values.
bars
Line: points are connected
by a line. In “less than type
ogive, we have a Used to show the
Quantitative
OGIVE increasing curve graph cumulative frequency
data
while in “more than type distribution
ogive, we have a
decreasing curve graph.
Categorical data- is a data that is divided into groups or qualitative characteristic.
There is no order to categorical values and variables.
EXAMPLES: Gender (male and female), Favorite Colors, cellphones, Celebrities,
brand of soap an etc.
Quantitative data – is a data measured and expressed numerically. It has numerical
meaning and is used in calculations and arithmetic.
EXAMPLES: weight, temperature, height, annual income, number of hours of
sleep etc.
What appropriate graphs to use to represent a given organized data?
The appropriate statistical graph depends on the type of data collected and the
purpose of collecting the data.
⚫ A pie chart is most appropriate when we want to show the relative size of each
data set in proportion to the entire data set.
⚫ A bar graph is most appropriate when we want to compare between the data sets,
and we want to know the exact numerical values.
⚫ A line graph is most appropriate when we want to show trends over period.
⚫ In an ungrouped data, a histogram is most appropriate when we want to know the
exact values of the frequencies of the data sets and identify the lowest and highest
frequencies.
⚫ In a grouped data, a histogram is most appropriate when we want to clearly display
a large set of data and do not need exact the values of the original data.
⚫ An ogive is most appropriate when we want to clearly display the cumulative
frequencies of data points that are less than and more than the value in a data set.
5⚫ Pie chart and Bar graph are appropriate to use when you have a categorical data.
⚫ Line graph, Histogram, and Ogive are appropriate to use when you have a
quantitative data.
EXAMPLE: The table shows the number of students who travel to school using
different mode of transportation.
Mode of Transportation Jeep Tricycle Single Motorcycle Walking
Number of students 320 160 200 120
What appropriate graph to use in this kind of data?
- A bar graph is the appropriate graph for this kind of data.
- But if you want to see the percentage of students travel using different
transportation, the pie chart can also display this kind of information.
What’s More
Directions: Choose the appropriate graph to use in the given information by writing
the letter that corresponds to your answer.
A B C D E
Pie Chart Bar Graph Line Graph Histogram Ogive
1. A number of laptops purchased by the company in each year from
2009 to 2013.
2. Daily income of Cumulative
Number of workers
Workers frequency
200 - 250 60 60
250 - 300 90 150
300 - 450 50 200
3. A number of teachers in each department.
4. The monthly expenditure of Mark.
5. SCHEDULE NUMBER OF WORKERS
7:00 a.m.- 12:00 n. 55
12:00 n. – 5:00 p.m. 60
5:00 p.m.–10:00p.m. 35
6What I Have Learned
Directions: Study the following scenarios and identify the appropriate graph to be
used. Justify your answer.
1. You are the president in your class and your teacher asked you to check the
attendance of your classmates by subjects or by period that day. To know how
many students are present every subject, you decided to display it in a graph.
What appropriate graph will you use?
2. Your parents have decided to give you your weekly allowance. You want to spend
it in a proper manner, so you make a budget. What suitable graph is best for this
scenario?
What I Can Do
Directions: Use a graph to represent the given data.
1. The table shows 100 different colors of balloons Ana wants for her birthday.
Color of Flower Pink Yellow Red Blue Green
Number of balloons 20 15 30 10 25
Task: Construct a pie graph.
2. The table shows the number of Fruits Sale.
Fruits Apple Grape (by pack) Mango Pineapple Avocado
Number of fruits 120 70 110 80 50
Task: Construct a bar graph.
Assessment
Directions: Choose the letter that corresponds to your answer.
1. Which of the following graphs is appropriate to use when showing trends or
changes over a period?
a. line graph b. pie chart c. bar graph d. histogram
72. What appropriate graph is used when showing the number of students below the
passing rate?
a. histogram b. bar graph c. ogive d. pie chart
3. In the given data below, what would be the best title?
Days In thousand Pesos a. Sally’s sales for one-week
Monday 15 b. Sally’s sales for one-year
Tuesday 12 c. Sally’s income for one month
Wednesday 13.5 d. Sally’s income for the weekends
Thursday 15
Friday 17.5
Saturday 22
Sunday 20.5
4. Which of the following can be the title of the given data below?
Sports No. of Boys a. National Olympic of 2019
Tennis 40 b. Ball Games od 200 boys
Basketball 70 c. Favorite sports of 200 boys
Football 20 d. Palarong Pambansa of 2015
Table Tennis 25
Swimming 45
5. Which of the following titles is NOT suitable for pie chart?
a. Students’ favorite cellphone c. Students’ test result
b. Students’ mode of transport d. Students’ favorite drama
6. What type of graph is a better way to represent the data below?
Sales of Samsung Cellular Phone in a. bar graph
2015 – 2019 b. line graph
Years Sales in thousands c. pie chart
2015 25 d. histogram
2016 23
2017 48
2018 35
2019 55
7. Which of the following titles is NOT suitable for line graph?
a. The number of phone calls made to a hotline over a period.
b. The Population of the Philippines from the year 2004 to 2013
c. The ages of Grade 7 students at Don Pablo Lorenzo Memorial High School
d. The price of gasoline from 2010 to 2016
88. What type of graph is the better way to represent the data below?
Scores of Grade 7 Students in a 5 – item Quiz.
Scores Frequency Cumulative Frequency
0-1 5 5
1-2 15 20
2-3 10 30
3-4 8 8
4-5 12 50
a. bar graph b. line graph c. pie chart d. histogram
For item numbers 9 and 10, read the following situations and answer the
question that follows.
SITUATION 1
You are the president in your class and your teacher asked you to check the
attendance of your classmates by period of that day. To know how many students are
present every subject, you decided to display it in a graph.
9. What appropriate graph will you use?
a. bar graph b. line graph c. pie chart d. histogram
SITUATION 2
Your parents have decided to give your weekly allowance. Just to spend it in
a proper way, you want to make a budget to see the division of your allowance.
10. What suitable graph is best for this scenario?
a. bar graph b. line graph c. pie chart d. histogram
910
Orlando A. Oronce and Marilyn O. Mendoza, e-math 7, published 2012, pp. 501-511.
2000by JTVV Corporation, pp 155-163.
Cecile M. De Leon and Julieta G. Bernabe, Integrated Mathematics 1 copyright
References:
Assessment:
1. A 2. C 3. A 4. C 5. C
6. B 7. C 8. D 9. A 10. C
What I Can Do:
What I Have Learned:
Answer will vary
What’s More:
1. C 2. D 3. B 4. A 5. D
What’s New:
Answer will vary.
What’s In:
They differ in their usage.
What I Know:
1. C 2. D 3. B 4. A 5. C
Answer KeyI AM A FILIPINO
by Carlos P. Romulo
I am a Filipino – inheritor of a glorious past, hostage to the It is the mark of my manhood, the symbol of my dignity as
uncertain future. As such, I must prove equal to a two-fold a human being. Like the seeds that were once buried in the
task – the task of meeting my responsibility to the past, and tomb of Tutankhamen many thousands of years ago, it shall
the task of performing my obligation to the future. grow and flower and bear fruit again. It is the insigne of my
I am sprung from a hardy race – child many generations race, and my generation is but a stage in the unending
removed of ancient Malayan pioneers. Across the centuries, search of my people for freedom and happiness.
the memory comes rushing back to me: of brown-skinned I am a Filipino, child of the marriage of the East and the
men putting out to sea in ships that were as frail as their hearts West. The East, with its languor and mysticism, its passivity
were stout. Over the sea I see them come, borne upon the and endurance, was my mother, and my sire was the West
billowing wave and the whistling wind, carried upon the that came thundering across the seas with the Cross and
mighty swell of hope – hope in the free abundance of the new Sword and the Machine. I am of the East, an eager
land that was to be their home and their children’s forever. participant in its struggles for liberation from the imperialist
This is the land they sought and found. Every inch of shore yoke. But I know also that the East must awake from its
that their eyes first set upon, every hill and mountain that centuried sleep, shake off the lethargy that has bound its
beckoned to them with a green and purple invitation, every limbs, and start moving where destiny awaits.
mile of rolling plain that their view encompassed, every river For I, too, am of the West, and the vigorous peoples of the
and lake that promised a plentiful living and the fruitfulness West have destroyed forever the peace and quiet that once
of commerce, is a hollowed spot to me. were ours. I can no longer live, a being apart from those
By the strength of their hearts and hands, by every right of whose world now trembles to the roar of bomb and cannon
law, human and divine, this land and all the appurtenances shot. For no man and no nation is an island, but a part of the
thereof – the black and fertile soil, the seas and lakes and main, and there is no longer any East and West – only
rivers teeming with fish, the forests with their inexhaustible individuals and nations making those momentous choices
wealth in wild and timber, the mountains with their bowels that are the hinges upon which history revolves. At the
swollen with minerals – the whole of this rich and happy land vanguard of progress in this part of the world I stand – a
has been for centuries without number, the land of my forlorn figure in the eyes of some, but not one defeated and
fathers. This land I received in trust from them, and in trust lost. For through the thick, interlacing branches of habit and
will pass it to my children, and so on until the world is no custom above me I have seen the light of the sun, and I
more. know that it is good. I have seen the light of justice and
I am a Filipino. In my blood runs the immortal seed of heroes equality and freedom, my heart has been lifted by the vision
– seed that flowered down the centuries in deeds of courage of democracy, and I shall not rest until my land and my
and defiance. In my veins yet pulses the same hot blood that people shall have been blessed by these, beyond the power
sent Lapulapu to battle against the alien foe, that drove Diego of any man or nation to subvert or destroy.
Silang and Dagohoy into rebellion against the foreign I am a Filipino, and this is my inheritance. What pledge
oppressor. shall I give that I may prove worthy of my inheritance? I
That seed is immortal. It is the self-same seed that flowered shall give the pledge that has come ringing down the
in the heart of Jose Rizal that morning in Bagumbayan when corridors of the centuries, and it shall be compounded of the
a volley of shots put an end to all that was mortal of him and joyous cries of my Malayan forebears when first they saw
made his spirit deathless forever; the same that flowered in the contours of this land loom before their eyes, of the battle
the hearts of Bonifacio in Balintawak, of Gregorio del Pilar cries that have resounded in every field of combat from
at Tirad Pass, of Antonio Luna at Calumpit, that bloomed in Mactan to Tirad Pass, of the voices of my people when they
flowers of frustration in the sad heart of Emilio Aguinaldo at sing:
Palanan, and yet burst forth royally again in the proud heart “I am a Filipino born to freedom, and I shall not rest until
of Manuel L. Quezon when he stood at last on the threshold freedom shall have been added unto my inheritance—for
of ancient Malacanang Palace, in the symbolic act of myself and my children and my children’s children—
possession and racial vindication. The seed I bear within me forever.”
is an immortal seed.
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