Republic of the Philippines
Department of Education
Region I – IlocosRegion
La Union Schools Division Office
President Elpidio Quirino National High School
San Agustin East,Agoo, La Union
DETAILED LESSON PLAN IN BASIC STATISTICS (GRADE 8)
School: President Elpidio Quirino National High School
Teacher: Etheyl F. Solano
Teaching Date and Time: January 12, 2023 (3:30-4:30)
I.
Grade & Section: STE MARS GRADE 8
Learning Area: Mathematics
Quarter: Second
LEARNING OBJECTIVES
At the end of the one-hour period (60-minute period), the student should
be able to:
(KNOWLEDGE):
1. determine the quartiles of an ungrouped data
(SKILL):
2. solve quartile value of an ungrouped data
(ATTITUDE):
3. appreciate the concept of measures of position in real life
situation
II.
SUBJECT MATTER
A. Topic: Measures of Position (Quartile)
B. Learning Competency: Illustrates the following measures of position: quartiles, deciles
and percentiles. (Learning Competencies Basic Statistics 10.1)
C. References: https://www.investopedia.com/terms/q/quartile.asp
https://www.youtube.com/watch?v=TwklKKSwA_Q
D. Materials: visual aids, activity sheets, board and chalk/chalkboard, projector/TV/powerpoint
presentation
E. Integration : Reading
III.
PROCEDURE
TEACHER’S ACTIVITIES
STUDENT’S ACTIVITIES
A. Preparation
1. Prayer
Please all stand for the prayer.
Good morning class!
2. Checking of attendance
Let us recall again our classroom rules.
“In the name of the father… amen.”
Good morning, Mrs. Solano!
Classroom rules.
1. No using of cellphones during class
unless allowed by the teacher.
2. Listen when someone is talking in front
3. Respect each other.
4. Raise your hand if you want to answer
or if you have something to say.
President Elpidio QuirinoNatioinal High School
San Agustin East, Agoo, La Union
(72) 687-0599 / peqnhsagoo@gmail.com
…….where future leaders grow!
Republic of the Philippines
Department of Education
Region I – IlocosRegion
La Union Schools Division Office
President Elpidio Quirino National High School
San Agustin East,Agoo, La Union
B. Presentation
1. Activity
5-minute reading (Four Seasons of a Tree)
Who can recall about the lesson we discussed Our lesson last meeting is all about
last meeting?
measures of central tendency.
Then, what are the measures of central The measures of central tendency are the
mean, median and the mode.
tendency?
What is mean?
How about the median?
And what is the mode?
Very good!
Now, let’s have a group activity.
Mean is the average of the data set.
The media middle term of the data.
The mode is most frequent occurring value in
the data.
I want you to play a game. This game is what
we call “4 pics 1 word”. The mechanics are
easy, just use the scrambled letters to have
the right answer. The group who will get the
correct answer will be given 1 point. The
group that has the highest points will get a
Yes ,ma’am.
price. Are you ready?
MREAUSE
PISTOION
UQALE
IDEVID
President Elpidio QuirinoNatioinal High School
San Agustin East, Agoo, La Union
(72) 687-0599 / peqnhsagoo@gmail.com
…….where future leaders grow!
Republic of the Philippines
Department of Education
Region I – IlocosRegion
La Union Schools Division Office
President Elpidio Quirino National High School
San Agustin East,Agoo, La Union
WOLER
RETQURA
Okay, what words did you encounter from the The words we encountered were measure,
position, divide, equal, lower, quarter.
activity?
So, we have the measure, position, divide,
equal, lower, and quarter.
How do you feel with that given activity?
We feel excited, ma’am.
Those words are related with our lesson this
morning.
2. Analysis
So, for this morning, our lesson is all about
Measures of Positions on Quartiles.
But before that, let’s define these
terms first.
What do we mean when we say
measure?
Measure for me is all about an amount or
degree of something.
Any other definition?
None, ma’am.
Okay, let us read the definition of measure.
Measure is a standard unit used to express
the size, amount, or degree of something.
How about position, how do we define it?
Position for me sir is all about taking an
action of where you belong. It gives us
direction. (Answer may vary.)
Yes. Another definition, position is all about
arranging a particular position that he/she
belong.
For instance, what is your position among the
siblings in your family?
Answer may vary.
President Elpidio QuirinoNatioinal High School
San Agustin East, Agoo, La Union
(72) 687-0599 / peqnhsagoo@gmail.com
…….where future leaders grow!
Republic of the Philippines
Department of Education
Region I – IlocosRegion
La Union Schools Division Office
President Elpidio Quirino National High School
San Agustin East,Agoo, La Union
Now, let’s talk about quartile.
What is quartile? Who has an idea?
No idea, ma’am.
A quartile is a statistical term that describes a
division of observations into four defined
intervals based on the values of the data and
how they compare to the entire set of
observations.
Like in our quarterly examination, it is divided
into 4 quarters, 1st quarter, 2nd quarter and
what else?
3rd quarter and 4th quarter.
Now let’s discuss about the quartile. Please Quartile – the score points which divide a
distribution into four equal parts.
read the definition for quartile.
25%
50%
Q1
Lower Quartile
75%
100%
Q2
Q3
Middle Quartile
Upper Quartile
We have 3 quartiles, the lower quartile
Q1, middle quartile or median Q2, and the
upper quartile Q3.
25% of the data has value ≤ Q1.
50% of the data has a value ≤ Q2
75% of the data has a value of ≤ Q3.
We have the formula for getting quartiles.
Quartiles for ungrouped data:
Steps:
 Arrange the observations in
ascending or descending order.


Q1 = value of
𝑛+1
th observation
4
2(𝑛+1)
𝑛+1
Q2 = value of 4 or 2 th
observation
3(𝑛+1)
 Q3 = value of 4 th observation
*Q2 =Median
If your answer is in decimal, used the linear
interpolation formula:
Steps:
 Find the difference between the
President Elpidio QuirinoNatioinal High School
San Agustin East, Agoo, La Union
(72) 687-0599 / peqnhsagoo@gmail.com
…….where future leaders grow!
Republic of the Philippines
Department of Education
Region I – IlocosRegion
La Union Schools Division Office
President Elpidio Quirino National High School
San Agustin East,Agoo, La Union


2 values wherein Qn is situated.
Get the decimal part result and
multiply it with the difference of
the 2 values where Qn is
situated.
Add the result to the smallest
value wherein Qn is situated.
Let’s have an example:
The scores of 7 students in a Mathematics
seatwork are: 7, 4, 3, 6, 7, 4, 8. Find Q1, Q2,
and Q3.
1st step __________________________
write the scores on the board
Arranging the data into ascending
2nd step is to find Q1. What formula are
we going to use?
3,4,4,6,7,7,8
𝑛+1
Q1 = value of
4
th observation
Let us solve, substitute for the values where n
𝑛+1
=7
Q1 = value of 4 th observation
where n = 7
Explain your answer.
7+1
Q1 = value of 4 th observation
8
Q1 = value of 4 th observation
Q1 = value of 2th observation
Since Q1 = 2th observation, then, from the
given data 3,4,4,6,7,7,8; 2th observation = 4
So, we have the 2nd position as the
lower quartile. Q1 is 4.
3rd step is to find Q2. Use the formula
2(𝑛+1)
𝑛+1
Q2 = value of 4 or 2 th observation
Let us solve for the Q2 and explain your work.
Q2 = value of
Q2 = value of
2(𝑛+1)
4
7+1
8
2
or
𝑛+1
2
th observation
th observation
Q2 = value of 2 th observation
Q2 = value of 4th observation = 6
Is the answer correct? Yes or No?
And why?
4th step is to find Q3. Use the formula
3(𝑛+1)
Q3 = value of 4 th observation; n=7
Solve for the Q3
Yes ma’am, the answer is correct because
the Median of the scores is 6 and Q2 =
Median, therefore the answer is correct
Q3 = value of
Q3 = value of
President Elpidio QuirinoNatioinal High School
San Agustin East, Agoo, La Union
(72) 687-0599 / peqnhsagoo@gmail.com
3(𝑛+1)
4
3(7+1)
4
th observation; n=7
th observation
…….where future leaders grow!
Republic of the Philippines
Department of Education
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La Union Schools Division Office
President Elpidio Quirino National High School
San Agustin East,Agoo, La Union
Q3 = value of
3(8)
4
24
th observation
Q3 = value of 4 th observation
Q3 = value of 6th observation = 7
Let’s have another example
Find Q1, Q2, and Q3 for the data set 10, 2,
9, 15, 23, 30, 8, 17, 25, 28
What is the 1st step?
Second step is to find for Q1, Q2 and Q3, what
are the formula to be used?
Then let us solve for Q1.
Arrange the data in ascending order
2, 8, 9, 10, 15, 17, 23, 25, 28, 30
𝑛+1

Q1 = value of

Q2 = value of


Q3 = value of 4 th observation
and if the answer is in decimal, used
linear interpolation method
Q1 = value of
Q1 = value of
𝑛+1
th observation
4
2(𝑛+1)
4
3(𝑛+1)
or
𝑛+1
2
th observation
th observation, n=10
4
10+1
4
11
th observation
Q1 = value of 4 th observation
Q1 = value of 2.75th observation
*Since the answer is in decimal, we are going
to use linear interpolation method.
 Q1 = 2.75th
2, 8, 9, 10, 15, 17, 23, 25, 28, 30
The values where Q1 situated are:
2th = 9
3rd = 10;
Find the difference of the 2
10 – 9 = 1
Multiply the decimal part (0.75) to the
difference of the two values
1(0.75) = 0.75
Add the result to the lowest value where Q1
situated
9 + 0.75 = 9.75
Therefore, Q1 = 9.75
Solve for Q2.
Q2 = value of
Q2 = value of
𝑛+1
th observation; n=10
2
10+1
2
11
th observation
Q2 = value of 2 th observation
Q2 = value of 5.5th observation
Q2 = 5.5th
President Elpidio QuirinoNatioinal High School
San Agustin East, Agoo, La Union
(72) 687-0599 / peqnhsagoo@gmail.com
…….where future leaders grow!
Republic of the Philippines
Department of Education
Region I – IlocosRegion
La Union Schools Division Office
President Elpidio Quirino National High School
San Agustin East,Agoo, La Union
2, 8, 9, 10, 15, 17, 23, 25, 28, 30
X5 = 15 ; x6 = 17
 17 – 15 = 2
 2(0.5) = 1
 15 + 1 = 16
Therefore, Q2 = 16
How about Q3?
Q3 = value of
Q3 = value of
Q3 = value of
3(𝑛+1)
th observation; n=10
4
3(10+1)
4
3(11)
4
33
th observation
th observation
Q3 = value of 4 th observation
Q3 = value of 8.25th observation
Q3 = 8.25th
2, 8, 9, 10, 15, 17, 23, 25, 28, 30
X8 = 25; X9 = 28
 28 – 25 = 3
 3(0.25) = 0.75
 25 + 0.75 = 25.75
Therefore, Q3 = 25.75
The answer is correct! Any questions? None, ma’am.
Clarifications? Violent reactions?
3. Abstraction
What is our lesson this morning?
Our lesson this morning is all about
measures of positions on quartiles.
It is important for us to know or to study the
measure of position to be guided at all times.
Does measures of position really exist in real
life?
Yes ma’am.
Okay! How can we apply it or where can you
find it in the real world?
We apply it with our school grades ma’am.
How?
We can use it when we get the position of our
grades like the highest score and the lowest
score.
So, we can determine what subject is needed
to give focus.
President Elpidio QuirinoNatioinal High School
San Agustin East, Agoo, La Union
(72) 687-0599 / peqnhsagoo@gmail.com
…….where future leaders grow!
Republic of the Philippines
Department of Education
Region I – IlocosRegion
La Union Schools Division Office
President Elpidio Quirino National High School
San Agustin East,Agoo, La Union
I will give another scenario for measures of
positions.
When your 9 classmates will fall in line, then
we arrange them in ascending order from
shortest to tallest, what is the position of the
5th person? Are you sure?
The position of the 5th Q2 or median
ma’am. Yes ma’am.
How about the 3rd person from the shortest to The 3rd person from the shortest to
tallest is Q1 ma’am.
tallest?
Is that correct? Very good!
Yes, ma’am.
Very good. So, did you understand the Yes ma’am.
concept of quartile?
I will ask questions again to make you recall
your lesson.
What are the positions of the quartile?
The positions of quartile are 3, t h e lower
quartile, middle quartile and the upper
quartile.
In other words, what do you call the
middle quartile?
The middle quartile is the median, ma’am.
Very good!
4. Application
Using the same group, I want you to choose
one representative each group to pick one
envelop from me. Each envelop has a task to
do.
Inside these envelopes there are problems for
you to solve, and also it has a way on how you
present your work in front. Like dancing,
singing and others.
Understood?
Yes ma’am.
Present your work in a creative way given in
the envelop.
You have 2-3 mins. to present your work and
will be graded according to these criteria
President Elpidio QuirinoNatioinal High School
San Agustin East, Agoo, La Union
(72) 687-0599 / peqnhsagoo@gmail.com
…….where future leaders grow!
Republic of the Philippines
Department of Education
Region I – IlocosRegion
La Union Schools Division Office
President Elpidio Quirino National High School
San Agustin East,Agoo, La Union
Content
Creativity
Presentation
Cooperation
Total
20%
10%
15%
5%
50%
You may start discussing with your
groupmates.
You will present by:
1.
RAP
2.
SINGING
(First group problem)
You are going to know what is the quartiles
of the scores in your mathematics class of
your 5 friends including yours. The scores are
Answer (Q1 is 5, Q2 is 7, and Q3 is 8.)
3, 5, 6, 8, 8, 10. Find the Q1, Q2, and Q3.
(After the presentation)
Let’s give the group a DAB Clap
(Second group problem)
You have a big problem in your assignment
about getting the quartiles of given
distribution. Now, find a way that you can get
the values of the quartiles of the ages of
Answer (Q1 is 9, Q2 is 12, and Q3 is 15.)
malnourished children in JNHS.
7, 9, 9, 10, 11, 12, 13, 15, 15, 16, 16
(After the presentation)
Let’s give the group a Firecracker clap.
(Third group problem)
You want to know how to easily solve a
problem on quartile. So, you invite a celebrity
to give you tips on how to solve quartiles given
a sample problem. Find the quartiles of the
scores of 7 students in mathematics remedial Answer (Q1 is 5, Q2 is 7, and Q3 is 9)
class
5, 5, 6, 7, 8 ,9, 10
(After the presentation)
Let’s give them an Aleng Dionisia Clap
(Fourth group problem)
You are in a Broadway and you are going
to have a conversation on how did you solve
President Elpidio QuirinoNatioinal High School
San Agustin East, Agoo, La Union
(72) 687-0599 / peqnhsagoo@gmail.com
…….where future leaders grow!
Republic of the Philippines
Department of Education
Region I – IlocosRegion
La Union Schools Division Office
President Elpidio Quirino National High School
San Agustin East,Agoo, La Union
for quartiles. Explain to the audience how did Answer (Q1 is 20, Q2 is 25, and Q3 is 45.)
you solve the problem.
Get the quartiles for the numbers won by a
famous basketball team in the year 2000 to
the year 2005 are
20, 20, 25, 45, 50
(After the presentation)
Let’s give this group an Indian Clap
(Fifth group problem)
Find the quartiles of the problem. A group of
Answer (Q1 is 2, Q2 is 4, and Q3 is 6.)
students of JNHS obtained the following scores in
their Statistics quiz:
8
5
4
5
7
3
6
(After the presentation)
Let’s give this group an BIG check Clap
A round of applause for everyone.
Job well done.
What did you feel in the activity?
What do you learn with the activity?
That’s right! In math, we can also have
presentations not only by merely solving and
answering seat in your sets.
We feel excited because we didn’t know
what to do but we make it.
We learned that we can also have
various presentation of our solutions in
math.
.
Now, I will give you your scores in your
presentations.
Let’s give everyone a big round of applause.
E. Assessment
Get ½ lengthwise and answer these following questions
Find the lower quartile and upper quartile of the data. The number of days taken
by each of 11 employees to finish a job were
32
39
27
23
42
35
42
29
46
37
42.
President Elpidio QuirinoNatioinal High School
San Agustin East, Agoo, La Union
(72) 687-0599 / peqnhsagoo@gmail.com
…….where future leaders grow!
Republic of the Philippines
Department of Education
Region I – IlocosRegion
La Union Schools Division Office
President Elpidio Quirino National High School
San Agustin East,Agoo, La Union
Answers:
23
27
29
32
35
39
42
42
46
F. Assignment
Research and study in advance about Measures of Positions on Deciles.
Prepared by:
Checked by:
ETHEYL F. SOLANO
GEMA D. JARATA
JANE A. NISPEROS
Teacher I, Math
Master Teacher II, Math
Department Head III, Math
Noted by:
EDITHA D. HERRERA
School Principal II
President Elpidio QuirinoNatioinal High School
San Agustin East, Agoo, La Union
(72) 687-0599 / peqnhsagoo@gmail.com
…….where future leaders grow!
Republic of the Philippines
Department of Education
Region I – IlocosRegion
La Union Schools Division Office
President Elpidio Quirino National High School
San Agustin East,Agoo, La Union
DETAILED LESSON PLAN IN BASIC STATISTICS (GRADE 8)
School: President Elpidio Quirino National High School
Teacher: Etheyl F. Solano
Teaching Date and Time: January 12, 2023 (3:30-4:30)
I.
Grade & Section: STE MARS GRADE 8
Learning Area: Mathematics
Quarter: Second
LEARNING OBJECTIVES
At the end of the one-hour period (60-minute period), the student should
be able to:
(KNOWLEDGE):
1. determine the quartiles of an ungrouped data
(SKILL):
2. solve quartile value of an ungrouped data
(ATTITUDE):
3. appreciate the concept of measures of position in real life
situation
II.
SUBJECT MATTER
A. Topic: Measures of Position (Quartile)
B. Learning Competency: Illustrates the following measures of position: quartiles, deciles
and percentiles. (Learning Competencies Basic Statistics 10.1)
C. References: https://www.investopedia.com/terms/q/quartile.asp
https://www.youtube.com/watch?v=TwklKKSwA_Q
D. Materials: visual aids, activity sheets, board and chalk/chalkboard, projector/TV/powerpoint
presentation
E. Integration : Reading
TEACHER’S ACTIVITY
A. Preparation
1. Prayer
Please all stand for the prayer.
Good morning class!
President Elpidio QuirinoNatioinal High School
San Agustin East, Agoo, La Union
(72) 687-0599 / peqnhsagoo@gmail.com
STUDENT’S ACTIVITY
…….where future leaders grow!
Republic of the Philippines
Department of Education
Region I – IlocosRegion
La Union Schools Division Office
President Elpidio Quirino National High School
San Agustin East,Agoo, La Union
As of JANUARY 18, 2023
LIST OF LEARNERS
WITH PENDING REQUEST LETTER / NO FORM 137 RECORDS
GRADE 7
NAME OF LEARNER
NAME OF SCHOOL
LAST ATTENDED
PREVIOUS GRADE
LEVEL/SECTION
President Elpidio QuirinoNatioinal High School
San Agustin East, Agoo, La Union
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PREVIOUS YEAR
GRADUATED/LAST
ATTENDED
PRESENT
GRADE
LEVEL/SECTION
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NAME OF
ADVISER
Republic of the Philippines
Department of Education
Region I – IlocosRegion
La Union Schools Division Office
President Elpidio Quirino National High School
San Agustin East,Agoo, La Union
President Elpidio QuirinoNatioinal High School
San Agustin East, Agoo, La Union
(72) 687-0599 / peqnhsagoo@gmail.com
…….where future leaders grow!