Republic of the Philippines
Department of Education
REGION IX-ZAMBOANGA PENINSULA
Division of Zamboanga Sibugay
DALAMA NATIONAL HIGH SCHOOL
Dalama, Payao, Zamboanga Sibugay
Division
School
Teacher
Time & Dates
ZAMBOANGA SIBUGAY
DALAMA NATIONAL HIGH SCHOOL
MARY JANE T. GARCINES
WEEK 5 DAY 1/8:30-9:30
I. OBJECTIVES
A. Content Standard
B. Performance
Standard
C. Learning
Competencies/Objectiv
es
Write the LC code
for
each.
II. CONTENT
III. LEARNING
RESOURCES
A. References
1. Teacher’s Guide
pages
2. Learner’s
Material
pages
3. Textbook pages
4. Additional
Material
from Learning
Resource (LR)
Portal
B. Other Learning
Resources
IV. PROCEDURES
A. Reviewing previous
lesson or presenting
the new lesson.
Grade Level
Learning Area
Quarter
7
MATHEMATICS
FOURTH
The learner demonstrates understanding of key concepts, uses
and importance of Statistics, data collection/gathering and the
different forms of data representation, measures of central
tendency, measures of variability, and probability.
The learner is able to collect and organize data systematically
and compute accurately measures of central tendency and
variability and apply these appropriately in data analysis and
interpretation in different fields.
The learner calculates the measures of central tendency of
ungrouped and grouped data. M7SP-IVf-g-1
a. Define mean of ungrouped data;
b. Calculate the mean of ungrouped data; and
c. Express appreciation to the importance of learning the
mean of ungrouped data in a real-life scenario.
The Mean of Ungrouped Data
Slide Decks, Visual Aids, Activity Sheets, Score Sheets and
Rubrics
A. Preliminary Activities
*Opening Prayer
*Greetings
*Checking of Attendance
*Setting of Classroom Standards
 The teacher will present the suggested house rules and
let the learners agree on it and will solicit from them
additional rules they wanted to be implemented during
the session.
Use the acronym A-L-E-R-T
A-Active (Participate in every activity. Your ideas will
be highly appreciated.)
L-Listen (Listen to the discussions and instructions
attentively. You might miss important things.)
E-Engage (Engage yourself in a group activity. )
R-Respect (Do not interrupt if someone is talking, wait
for your turn. If you want to talk, raise your right hand
to be
acknowledged.)
T-Time Consciuos (Submit your outputs on time.)
B. Motivation
 The teacher will divide the class into 2 groups. Each
group will answer five (5) questions based from the
categories given by the teacher. Each group will receive
a star in every correct answer. The group that wil get the
most number of stars will receive a reward from the
teacher.
Trivia Questions:
1. How many percent of water does the AVERAGE
human brain contains? (Science)
A. 60%
B. 65%
C. 73%
D. 78%
2. How many dimples does the AVERAGE golf ball has?
(Physical Education)
A. 335
B. 336
C. 337
D. 338
3. What is the AVERAGE age at which America’s
presidents have taken office? (Araling Panlipunan)
A. 52
B. 53
C. 54
D. 55
4. How many glasses of milk does an AVERAGE cow
produces in a day? (TLE)
A. 40
B. 50
C. 60
D. 70
5. How many times does an AVERAGE person swallows
during a meal? (Health)
A. 293
B. 294
C. 295
D. 296

After the activity, the teacher will ask the following
questions:
1. What is the common term present in all the questions?
(Unistructural)
Expected Answer: Average
2. What do you mean by the term AVERAGE?
(Unistructural)
Expected Answer: The sum of measures divided by
the number of measures.
3. What other term related to mathematics that involves
finding the AVERAGE? (Relational)
Expected Answer: Mean
4. Based on our earlier activity, can you guess what would
be our lesson for today?
Expected Answer: Calculating the Mean/Mean of
Ungrouped Data
B. Establishing a
 The teacher will present the subject matter and let some
purpose for the
representatives to read the learning objectives to
lesson
enhance learners’ reading/literacy skills.
C. Presenting
 The teacher will ask the learners to read the definition of
examples/
mean.
instances of the new
Mean
lesson
 The mean (also known as the arithmetic mean or
average) is the most commonly used measure of central
tendency. It is the sum of measures x divided by the
number n of measures in a variable. It is symbolized as
̅ (read as “x-bar”).
𝒙
To calculate the mean of an ungrouped data, use the
formula:
∑𝒙
̅=
𝒙
𝒏
where: ∑ 𝑥
sum of the item value
n
number of items
D. Discussing new
Activity 1
The population of Zamboanga Sibugay from 2015-2020
concepts and
practicing new skills presented in the table are as follows:
#1
Year
Population
2015
360, 594
2016
584, 685
2017
633, 129
2018
647, 668
2019
652, 749
2020
669, 840
Source: https://cmci.dti.gov.ph/provprofile.php?prov=Zamboanga%20Sibugay&year=2022
Questions:
1. What is the value of n in the given set of data?
(Unistructural)
Expected Answer: n=6
2. What is the mean of the population of Zamboanga
Sibugay from 2015-2020 (in whole number)?
(Multistructural)
Expected Answer:
∑𝒙
𝟑𝟔𝟎,𝟓𝟗𝟒+𝟓𝟖𝟒,𝟔𝟖𝟓+𝟔𝟑𝟑,𝟏𝟐𝟗+𝟔𝟒𝟕,𝟔𝟔𝟖+𝟔𝟓𝟐,𝟕𝟒𝟗+𝟔𝟔𝟗,𝟖𝟒𝟎 𝟑,𝟓𝟒𝟖,𝟔𝟔𝟓
̅=
𝒙
=
= 𝟔 =
𝒏
𝟔
591, 444.17=591, 444
2. What is the mean of the population of Zamboanga
Sibugay in the first 3 years? How about in the next 3
years? (Multistructrural)
Expected Answer:
∑𝒙
𝟑𝟔𝟎,𝟓𝟗𝟒+𝟓𝟖𝟒,𝟔𝟖𝟓+𝟔𝟑𝟑,𝟏𝟐𝟗 𝟏,𝟓𝟕𝟖,𝟒𝟎𝟖
̅=
1. 𝒙
=
= 𝟑 = 526, 136.
𝒏
𝟑
∑𝒙
E. Discussing new
concepts and
practicing new skills
#2
𝟔𝟒𝟕,𝟔𝟔𝟖+𝟔𝟓𝟐,𝟕𝟒𝟗+𝟔𝟔𝟗,𝟖𝟒𝟎 𝟏,𝟗𝟕𝟎,𝟐𝟓𝟕
̅=
2. 𝒙
=
= 𝟑 = 656, 752.
𝒏
𝟑
3. Compare the mean population of Zamboanga Sibugay in
the first 3 years and next 3 years? What can you say about
it? (Relational)
Expected Answer:
The mean is increasing. As also observed, the
population of Zamboanga Sibugay from 2015 to 2022
are also increasing. It is also expected that for the next
years, population of Zamboanga Sibugay will be
increasing.
Individual Activity
The learner has the following grades in his five subjects:
88, 87, 92, 90, and 93.
1. What is the mean of the grades obtained in the five
learning areas if ∑ 𝒙 = 𝟒𝟓𝟎? (Unistructural)
Expected Answer: 90
∑𝒙
𝟒𝟓𝟎
̅=
𝒙
= = 𝟓 =90
𝒏
2. If the grades of the learner in the two other learning
areas are 94 and 93 respectively, what is the new mean?
Show your steps in solving the new mean.
(Multistructural)
Expected Answer: 91
Step 1: 90 x 5 = 450
Step 2: 450+94+93 = 637
∑𝒙
̅=
Step 3: 𝒙
=
𝒏
𝟔𝟑𝟕
𝟕
= 91
3. If the learner wanted to have a general average of at
least 90, for at least what grade he should have for the
remaining subject? Explain your answer. (Relational)
Expected Answer: 83
Step 1: 90 x 8 = 720
Step 2: 720-637 = 83
Step 3: x = 83
F. Developing mastery
(Leads to Formative
Assessment 3)
Group Activity
(Extended Abstract)
 Using the same groups from earlier activity, the teacher will
let the learners to gather numerical among the members of
respective group and solve for the mean of the gathered
ungrouped data.
 The teacher will remind the class that they are only given 5
minutes to work on the task and 2 minutes for the
presentation of their outputs.
 The teacher will encourage the learners to assign a leader,
a secretary, time keeper, and a presenter for a smooth flow
in doing the activity.
 The teacher will suggest rubrics on the task given and will
allow each group to make revisions or adjustments on the
rubrics presented.
 The teacher will inform the groups that they are the one to
rate the output of the other group. Group 1 will rate the
work of Group 2 and Group 2 will rate the work of Group 1.
After giving the scores, each group will have to compute the
total score gained by the group assigned to them.
(Numeracy Integration)
 The teacher will give emphasis on the importance of the
following values to the learners in doing their tasks:
 SENSE OF RESPONSIBILITY (in doing the work)
 EQUITY (in giving the scores)
 URGENCY (in submitting the output)
(Values Integration)
G. Finding practical
applications of
concepts and skills
in daily living

H. Generalizing and
abstractions about
the lesson

The teacher will let the learners relate the topic on
calculating the mean of ungrouped data in real-life
situation and appreciate its importance.
Questions:
1. Aside from the ideas presented in your group activity,
what other real-life situations that the topic can be
applied? Cite some.
Expected Answer:
 Calculating the general average for the first quarter
 Calculating the average allowance/expenses for a
week
 Calculating the average income of a business for a
month
The teacher will call a representative to make a summary of
the lesson by answering the following questions:
1. What is mean?
Expected Answer: The mean (also known as the
arithmetic mean or average) is the most commonly used
measure of central tendency. It is the sum of measures x
divided by the number n of measures in a variable. It is
̅ (read as “x-bar”).
symbolized as 𝒙
2. How to calculate the mean of ungrouped data?
Expected Answer: To calculate the mean of an
∑𝒙
̅=
ungrouped data, use the formula: 𝒙
𝒏
∑𝑥
where:
sum of
the item values
n
number of items
3. Is learning the topic useful and applicable in real-life
situations? Why?
(Answers may vary.)
I. Evaluating learning
Directions: Encircle the letter of the correct answer.
1. What do you call the sum of the item values divided by the
number of items? (Unistructional)
A. Mean
B. Median
C. Mode
D. Range
For items #2 - 5 refer the questions to the statement
below.
The following are the scores of the Grade 7 learners in a math quiz: 1
14?
2. What is the mean of the scores? (Multistructural)
A. 10
B. 11
C. 12
D. 13
3. If tenth score which is 22 will be added to the set of scores,
what will be the new mean? (Multistructional)
A. 12
B. 13
C. 14
D. 15
4. Which of the following set of scores has the mean equal to
the mean of the scores presented? (Relational)
A. 10, 9, 12, 16, 13
C. 13, 9, 15, 10, 11
B. 10, 9, 14, 13, 18
D. 18, 15, 10, 12, 9
J. Additional activities
for application or
remediation
5. What should be added to the scores to have a mean of 14?
(Relational)
A. 29
B. 30
C. 31
D. 32
 The teacher will give a task for the learners to do at home.
Task: (Extended Abstract)
1. Real-Life Application
 Research and present an example of how
calculating the mean of ungrouped data is used in
a practical context. Describe the scenario, explain
how it is applied.
2. Reflection
 Write a short reflection on your experience with
the topic. Discuss how this knowledge can be
useful in everyday life and other areas in math.
Share any challenges you faced and strategies you
developed to overcome them.
Evaluated and observed by:
HAIJIN S. SADDAE, MAEd
School Head