Detailed Lesson Plan- Final Demo

1. DETAILED LESSON PLAN
I. Objectives At the end of the lesson, 100% of 7-STE students are expected to achieve at least 90% proficiency level.
A. Content Standard 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.
B. Performance Standard 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.
C. Learning Competencies Calculate the measure of central tendency of ungrouped data. M7SP-IVg-1
D. Specific Objectives After the students have gone through the lessons they are expected to;
a. define mean, median and mode,
b. solve the mean, median and mode of a set of data,
c. identify the mode if it is unimodal, bimodal, or multimodal and
d. appreciate the application of mean, median and mode in real-life situations.
II. Content Measures of Central Tendency of Ungrouped Data
III Learning Resources
A. References
1. Teacher’s Guide Page DEPED. K to 12 Mathematics Curriculum Guide. DepEd Complex, Meralco Avenue, Pasig City,
Philippines, page 217, 2016
2. Learner’s Material Page Mathematics Learner’s Material pages 576-595
3. Textbook Page None
4. Additional Materials from
Learning Resource (LR)
Shake it Off
https://www.youtube.com/watch?v=8xG7mH8i-WE
12 Different Claps
https://www.youtube.com/watch?v=e2CDe4sThQQ
School: Pagalanggang National High School Grade Level: 7
Teacher: Jonas S. Aguilar Learning Area: Mathematics
Teaching Dates and Time: May 5, 2023 -8:00-9:00 AM (Friday) Quarter: 4th

2. 5. Other Learning Resources Chalkboard, books, laptop, flat screen tv, PowerPoint and DIY visual aids
IV. Procedures
Teacher’s Activity Students’ Activity
A. Routinary Activities
Prayer
Everybody, please stand up and let us pray.
Who wants to volunteer to lead the prayer?
Yes, Princess Socorro.
Greetings
Good morning, 7-STE!
Are you excited to learn a new lesson today?
Checking of Attendance
President, Sabriya, is there any absent today?
Great! I am glad that no one is absent today.
Before we proceed, let us review our class rules first, what are they
again?
(Students will raise their hands.)
(All the students will stand up, bow their heads, and sincerely pray.)
Good morning, Sir Jonas!
Yes, Sir. We are excited.
I’m happy to say that there is no absent in our class today.
Our rules in Math Class are…

3. Checking of Assignment
Class, last meeting, I have given you some homework, right?
Bring it out, then exchange papers with your seatmates and write
corrected by.
Direction: Determine whether the graph shown is a bar graph, line graph,
pie graph, histogram or pictograph.
1.
2.
Yes, Sir.
Answers:

4. 3.
4.
5.

5. Count the number of correct answers, then, bring back the paper to the
owner for them to double check their papers.
Who got a perfect score?
Great job, everyone!
Now, pass your papers forward, 1, 2, 3, 4 and 5.
Everyone, please stand up and let us give each one a Mommy Dionisia
clap.
1, 2, 3 (while clapping the hands)
1, 2, 3 (while stomping the feet) Very good (2 X in a Visaya tone)
(Everyone who got the perfect score had a smile in their faces while
raising their hands.)
B. Reviewing previous lesson or presenting new lesson.
Before we proceed to our new lesson today, we will first have a recap
regarding our last discussion.
What was our lesson yesterday?
Very good.
What are the different kinds of graphs?
Amazing! I’m glad that you can still remember our past lesson. Is
there any question regarding our lesson yesterday?
Our lesson yesterday was about “Kinds of Graphs”.
Sir, the different kinds of graphs are bar graph, line graph, pie
graph, histogram, and pictograph.
None, Sir.

6. C. Establishing a purpose for the lesson.
Motivation
Let’s proceed now to our new topic. But before that, let’s have a
game first.
Are you familiar with the game, “Gibberish Challenge”?
It’s okay. Here are the examples:
Quack Run Teen = Quarantine
Pant Lie Near = Frontliner
Can you relate now?
This time, let’s do the “Gibberish Challenge” with a twist.
Mechanics of the Game:
1. I will show the gibberish phrase one at a time.
2. While guessing the gibberish, you will shake your body while the
music of Taylor Swift entitled “Shake it off” is playing.
3. The student who moves when the music stops will be the one to
answer the question. But if more than 1 moves when the music stops,
I will be the one who will choose who gives the answer.
4. Let me acknowledge you first before you give your answer.
5. The student must give the correct answer in 5 seconds only.
6. The student who can give the right answer will receive a reward.
Are you all excited?
No, Sir.
Yes, Sir.
Yes, Sir! We are very excited.

7. Let us start.
Excellent!
Now, based on the answers of your classmates, try to rearrange the
words, and form a phrase, then, guess our lesson for today.
What do you think is our lesson for today?
You are right! Here’s your prize. Congratulations!
Our lesson today is about Measures of Central Tendency of
Ungrouped Data.
Answers:
Sir, based on what we have answered, our topic today is about
Measures of Central Tendency of Ungrouped Data.
D. Presenting examples/instances of the new lesson.
Class, study and analyze this given situation.

8. Below are the numbers of stationery items that Sir Jonas brings every
time he teaches his math class.
Stationery Item Quantity Picture
Laptop 1
Eraser 1
Ballpen 4
Tape 1

9. Chalk 6
Pencil 3
Bond Paper 5
Answer the following questions:
1. What quantity frequently appears?
2. Arrange the quantity of stationery items of Sir Jonas from least to greatest,
then, find the middle value.
3. What is the average quantity of items that Sir Jonas brings when he
teaches his math class?
The previously given data is an example of ungrouped data. The data
in this form are just listed and the three questions that you answered were
measures of central tendency.
There are three measures of central tendency. These are the mean,
median, and mode.
Let us study first the mean. The symbol of mean is x
̄ . It is read as
“bar x”. It is also called as arithmetic mean.
Answers:
1. 1
2. 1, 1, 1, 3, 4, 5, 6 (The middle value is 3.)
3.
1+1+1+3+4+5+6
7
=
21
7
= 3

10. Observe and study this example on how to get the mean of data set.
I will ask you some questions later.
Example 1: The favorite lucky numbers of five 7-Saber students are 10, 6, 4,
6 and 24. Find the mean.
Solution: x
̄ =
10+6+4+6+24
5
=
50
5
= 10.
Based on the example, how do we get the mean of data set?
Exactly!
To find the mean of a data set, simply get the sum of all the scores or
values and divide it by the number of items or values. Mean is also
commonly known as the average of the set of data.
The formula in finding the mean is, x
̄ =
𝚺𝑿
𝑵
, where ΣX is the sum of all
the scores or values and N is the number of items or values.
Can you follow?
Try to find the mean of example 2:
Example 2: What is the average age of children playing in the playground
given their ages: 2, 3, 3, 4, 4, 5?
Anyone from the class who can solve this one?
Very good! The average age of children playing in the playground
is 3.5.
We add all the lucky numbers and divide it by the total number of
values in the data set.
Yes sir.
x
̄ =
Σ𝑋
𝑁
=
2+3+3+4+4+5
6
=
21
6
= 3.5

11. E. Discussing new concepts and practicing new skills number 1
You are already familiar with the first measure of central tendency.
Let’s proceed to the second one, median.
Let us consider the first problem, again.
Example 1: The favorite lucky numbers of five 7-Saber students are 10, 6,
4, 6 and 24. Find the median.
Observe carefully how do we get the median. This is how it is done.
4 6 6 10 24
The median in the set of values is 6.
Based on your observation, from the given values which are 10, 6, 4,
6 and 24, it became 4, 6, 6, 10 and 24. What do you think is the first thing that
we need to do to get the median?
You got it. You may arrange it either in ascending (least to greatest)
or descending (greatest to least) order.
Look at our given numbers or values. How many values do we have?
Very good. What is the rank of our median, 6, among the 5 values?
Great. Among the 5 numbers, the 3rd
one is the median. What do you
think is the meaning of median?
Very well said. It is easy for us to identify the median because 5 is
an odd number. We simply get the middle number after we arranged the set
of data from least to greatest.
We need to arrange the numbers from least to greatest.
We have 5 values.
Our median is the 3rd among the 5 values.
Median is the midpoint or the middle value of a set of data.

12. The symbol for the median is x
͂ read as “tilde x”. If we have an odd
number of values, the middle value in the ordered list is the median like in
our example number one.
Consider the average grades of Ma’am Carlmae in her major subject
given this data set: 1, 1, 1.25, 1.25, 1.25, 1.50, 1.50. Now, who can identify the
median?
Correct!
What about if we have an even number of values? Let’s have this
example number 3.
Example 3: Find the median of 3, 3, 7, 5.
First step, what are we going to do with the values?
Very good. Who can go to the board and arrange them?
Great. How many values do we have?
Exactly. 4 is an even number. To find the median of an even number
of values, we are going to get the mean or average of the two middle values
on the set of data. Now, what are our two middle values?
Good job. These are our two middle values, 3, 3, 5, 7.
What is the average of 3 and 5?
Excellent! Therefore, our median is 4. x
͂ =
3+5
2
=
8
2
= 4
You are all superb! Are there any questions on how to find the
median?
Sir, our median is the 4th
among the 7 grades of Ma’am Carlmae and
that is 1.25.
We will arrange them from least to greatest.
3, 3, 5, 7
We have 4 values on the set of data.
The two middle values are 3 and 5.
The average of 3 and 5 is 4.
3+5
2
=
8
2
= 4

13. None, Sir.
F. Discussing new concepts and practicing new skills number 2
The third measure of central tendency is the mode.
Let us consider again the first problem.
The favorite lucky numbers of five 7-Saber students are 10, 6, 4, 6
and 24. Find the mode.
What number appears most in the values?
Good job. Therefore, our mode here is 6.
What do you think is the meaning of mode?
Very good. The mode is the frequency value or the value that
repeats most often in a data set. It has the symbol 𝒙̂ which is read as “caret
x”.
There are 3 types of mode. These are unimodal, bimodal, and
multimodal.
Do you have any idea if how many mode(s) do we have in
unimodal?
You got it. What about bimodal?
Very good. What about multimodal?
Exactly.
What type of mode do we have in our first example?
Sir, it’s 6. It appears twice.
Mode is the value that repeats most often in a data set.
A unimodal has 1 mode.
A bimodal has 2 modes.
A multimodal has 3 or more modes.
It’s a unimodal since our mode is only 6.

14. Good job.
Let us have the second example.
Consider the shoe sizes of some students in 7-Saber such as 7, 8, 8,
8, 9, 9, 9, 10. What is the mode?
Awesome! What type of mode do we have?
For the last example, given the general weighted average of eight
7-STE students last quarter: 92, 93, 93, 94, 94, 95, 95, 96. What is the mode?
Nice! What kind of mode do we have?
Good job! Now is everything clear, class?
Alright! I have noticed that you can follow on our discussion.
I do believe you are now ready to work with your classmates.
Sir, the mode is 8 and 9 since these numbers appear most frequently.
It is bimodal.
Sir, the mode is 93, 94 and 95 because these are the numbers that
repeat twice.
Sir, it’s multimodal since we have 3 modes.
Yes, Sir!
G. Developing Mastery (leads to formative assessment 3)
Let us have an activity. I’ve already grouped you into 4 groups, right?
That’s your group by table.
I have prepared here four problems. All you need to do is to answer
them in a manila paper. I will give a marker for you to use.
The leader of each group will pick an envelope inside the mystery
box . Inside the envelope , there’s a given problem and
questions. Once you hear my “Go” signal, you may open the

15. envelope and answer the questions. If you’re done, post your answers on
the board. Then, choose one representative in your group to explain your
work. You are given 7 minutes to answer and post your work.
Did you get it, class?
We will be calling the group 1 as ST-Enthusiastic, the group 2 as ST-
Excellent, the group 3 as ST-Energetic and the group 4 as ST-Extraordinary.
Is everything I mentioned clear, STE?
Alright, leaders, you may now pick your envelopes here in the
mystery box. You may start now, “Go”.
Direction: Solve the following problems. Find the mean, median and mode.
Identify if the mode is unimodal, bimodal, multimodal or no mode.
Follow the rubrics listed below:
1. The number of family members of selected 7-Alucard students are
the following: 3, 6, 1, 2, 6, 2, 8.
Yes, Sir!
Yes, Sir!
Answers:
1. Mean = 4
x
̄ =
ΣX
N
=
3+6+1+2+6+2+8
7
=
28
7
= 4

16. 2. The following are the birthdates in May of 7-SPS students: 8, 2, 6, 5,
16, 8.
3. The scores of some 7-SPA students in a 5-item quiz are the
following: 3, 5, 4, 5, 3, 4, 4, 3, 5.
4. The following are the number of dogs of selected 7-STE students:
3, 4, 6, 2, 5, 7, 1, 8.
Median = 3
1 2 2 3 6 6 8
Modes = 2 and 6 (bimodal)
2. Mean = 7.5
x
̄ =
ΣX
N
=
8+2+6+5+16+8
6
=
45
6
= 7.5
Median = 7
2 5 6 8 8 16
x
͂ =
6+8
2
=
14
2
= 7
Mode = 8 (unimodal)
3. Mean = 4
x
̄ =
ΣX
N
=
3+5+4+5+ 3 +4+4+3+5
9
=
36
9
= 4
Median = 4
3 3 3 4 4 4 5 5 5
Modes = 3, 4, 5 (multimodal)
4. Mean = 4.5
x
̄ =
ΣX
N
=
3+4+6+2+5+7+1+8
8
=
36
8
= 4.5

17. It's already time! Now, I will give each team representative 2 minutes
to present their work in front of the class.
Can you still follow, STE?
We will start from the presentation of Group 1 the ST-Enthusiastic
group.
Nice presentation ST-Enthusiastic group, you proved that you are
enthusiastic.
Altogether, stand up STE and let’s give them a “Fireworks’ clap”.
1, 2, 3 (while clapping their hands)
1, 2, 3 (while stomping their feet)
Pshhhhh!!! Pshhhhh!!! Pshhhhh!!! Boom!!!
(a flashy sound effects in addition to explosive bangs).
Next, will be the group 2, the group of ST-Excellent.
Indeed, an excellent presentation ST-Excellent group.
Now, STE will you stand again and give them a “Good Job Clap”.
G O O D J O B !!! (2x)
Good job!
Good job!
Good job, hey!
(While saying this lively!)
Median = 4.5
1 2 3 4 5 6 7 8
x
͂ =
4+5
2
=
9
2
= 4.5
Mode = no mode
Yes, Sir!

18. For the group 3, we have the ST-Energetic group.
Again, STE stand and now altogether let us give them an “Ang
Galing Clap”.
1, 2, 3 (while clapping their hands) Ang galing (while rolling their
right hands)
1, 2, 3 (while clapping their hands) Ang galing (while rolling their left
hands)
And of course, the last but not the least, the group 4, we have the ST-
Extraordinary group.
Amazing! Group 4, you are really extraordinary.
Everyone for the last time, let us give the ST-Extraordinary a “Correct
ni Kris Aquino Clap”.
1, 2, 3 (while clapping their hands)
1, 2, 3 (while stomping their feet)
Correct!
G. Finding practical application of concept of skills.
At this point, do you want to play a game?
Okay, class. I prepared here an exciting game that will definitely test
your skills and learnings.
And we will call this a "GUESS WHO AM I?".
1. I have here a set of names of mean, median and mode which I will
give to each group. The groupings will be based on your seating
arrangement (maximum of group 8).
Yes, Sir! We want to play a game.

19. 2. I will present a statement one at a time.
3. Each group is expected to raise their answers within 5 seconds, and
if you fail or late, you are disqualified to answer that particular item.
4. One point for every correct answer.
5. The group with the highest points after the game will be the winner
and that group will receive a prize after the class.
Direction: Identify if the given statements illustrate the mean, median or
mode. You will raise the caricature photo of Sir Sherwin (head
teacher of Math Department), if it is a mean; Ma’am Gie (Math
teacher), if it is a median; and Ma’am Carlmae (student teacher in
Science), if it is a mode.

20. Are you ready?
Alright! Let us start the game.
__________1. My average grade last quarter was 85 because of the 80 I
received in one subject.
__________2. I am the most participative student, so I'm always the one who
volunteers to answer my teacher’s question.
Yes, sir.
Answers:
1.
2.

21. __________3. It is used to determine the honor student in class.
__________4. It is best used to know the most trending personalities on
YouTube.
__________5. I am the middle child among the seven siblings.
3.
4.
5.

22. __________6. The average score of 7-STE students in a 10-item Math test
is 9.
__________7. The middle number of the first three even numbers is 4.
__________8. Most students at Pagalanggang NHS used to go to school by
riding tricycles.
6.
7.
8.

23. __________9. The most common symptoms for people positive for COVID
are fever, cough, and shortness of breath.
__________10. The average speed of a tricycle is around 20 to 30 kilometers
per hour.
And now, the group that obtained the highest score is group
___________ .
Good job for giving your best in our game. Because of that, all of you
deserve to receive a “Love Clap”.
Oy oy oy (while moving the shoulders alternately) LOVEEEEEE…
9.
10.

24. Great! All the 10 items that we have in our game are applications of
mean, median and mode in real-life situations. Do you know now how
mean, median and mode are used in our daily lives? Yes, Sir.
I. Generalization and Abstraction
To sum up our lesson, let’s answer the following, but this time, we
will have “Fish-bowl Recitation” to know who will
answer the question.
We will call this, “I FISH YOU!”.
Here are the mechanics:
1. I will ask a random question about important things in finding the
measures of central tendency of ungrouped data.
2. To start, I will pick a name randomly inside the fish-bowl container to
know who will answer the first question. If he/she gives a correct answer,
he/she will pick a name in the fish-bowl container to know who will
answer the next question until you reach the last question. If ever, he/she
gives an incorrect answer, he/she will still pick a name in the fish-bowl
container to know who will answer the same question.
3. The students who can get the right answers will receive a reward.
Simply read each statement carefully and identify which word/words
is being described. Choose your answer from the box below.
Are you ready?
Yes, Sir!

25. Excellent!
Answers:
J. Evaluation
Get ½ crosswise and answer the following problems for 7 minutes.
Are you ready class?
You may now start answering. Timer starts now.
Directions: Find the mean, median and mode/modes of each of the
following sets of data. Identify if the mode(s) is/are unimodal,
bimodal, no mode or multimodal. Show your solution.
Yes, Sir!

26. To check your work, 3 points for the mean (1-point each for the
formula, solving and answer) and 1-point each both for
median and mode. Each item contains 5 points for a total
of 10 points.
(After 7 minutes)
Class, it’s time to check your work. Exchange your paper with your
seatmate and write corrected by.
After checking, return it to the owner and count the number of the
correct answers.
Who got a perfect score?
Very good, everyone!
Now, pass your papers forward, 1, 2, 3, 4 and 5.
Answers:
(The students who got perfect scores will raise their hands.)

27. K. Additional Activities for Application / Homework
For your assignment, bring out your AQA notebook and copy the
following.
Direction: Interview each member of your family living in your household.
Ask their present ages and present the data that you will be
collecting using this table. You may add rows if needed. Then,
answer the given questions below.
Questions:
1. What is the mean age of your family?
2. What is the median age?
3. What is the mode?
Are you done writing?
That ends our lesson today, “Goodbye, class!”
Yes, sir!
Goodbye, Sir! Goodbye, classmate!
V. Remarks
VI. Reflection
a. No. of learners for application or remediation

28. Approved by:
SHERWIN G. SERRANO
Head Teacher III
Prepared and submitted by:
JONAS S. AGUILAR
Bachelor of Secondary Education 4-Mathematics
Checked and reviewed by:
REGINA M. POLI, MAED
Cooperating Teacher
Teacher III
b. No. of learners who require additional activities for remediation who
scored below 80%
c. Did the remedial lessons work?
No. of learners who have caught up with the lesson.
d. No. of learners who continue to require remediation.
e. Which of my teaching strategies worked well?
Why did this work?
f. What difficulties did I encounter which my principal or supervisor can
help me solve?
g. What innovation or localized materials did I use/discover which I wish
to share with other teachers?