DETAILED LESSON PLAN FOR DEMO TEACHING
Grade 7 (Mathematics)
Learning Competency: Calculates the measures of variability of grouped and ungroup
data.
I. OBJECTIVES
At the end of the lesson, the students will be able to:
 Identify the measures of variability of grouped and ungroup data.
 Link the concept of measures of variability in real life context.
 Solve the measures of variability of grouped and ungrouped data.
II. SUBJECT MATTER
Topic: Measures of Varibility of Grouped and Ungrouped data.
Reference: Mathematics Module 7
Materials: Laptop, LCD Projector, Chalk, Activity Materials
III. INSTRUCTIONAL PROCEDURE
Teacher’s Activity Students’ Activity
A. Daily Routine
1. Prayer
Class let’s all stand up.
Before we start, ___________ will
lead the prayer.
2. Greetings
Good Morning/ Good Afternoon
class.
Hi everyone, I am Junila A. Tejada
Ma’am “June” in short and a
graduate of BSED- Math. I am
hoping for your outmost
cooperation for todays lesson in
order to make our lesson a
success. Is that a deal class?
3. Checking of Attendance
Is everybody present today?
4. Setting Expectation
The teacher will present the
lesson objectives.
B. Priming / Activating Prior Knowlegde
1. Class, using your understanding of
the concept of the “measures of
central tendency”. Given the
data below, find the mean of the data.
A student will lead the prayer.
Dear God, …….. Amen.
Good Morning/ Good Afternoon
Ma’am.
Yes ma’am, deal.
Yes ma’am, everybody is present
today.

SET A:
4, 10, 12, 20, 24
SET B:
12, 13, 14, 15, 16
What is the mean for set A? How
about for set B?
2. Review
Based from the number line class,
which set has a long line? How
about short?
Very Good. The line represent the
spread of the data and it shows that
Set A is more spread than Set B.
Does the set of data in our activity
can be considered as grouped or
ungrouped data? Why?
Very Good. Grouped data are set of
data that are categorize and arrange
in a form of data while the
ungrouped data are data that are
raw and not yet classified.
C. Lesson Development
1. Motivation/ Activity
Class, are you familiar with the term
“measures of variability”?
In our drill earlier, we compare the
distance of spread of set A, and set
B right? That process is a way of
knowing the spread of the data and
determining the consistency of data
which is the core of the measures of
variability,
To learn more about the measures
variability and its’ types we will
conduct an activity.
Are you ready?
Let’s us start our activity entitled
“Connectiword”. The class will be
divided into six groups, each group
will select their group leader. The
activity is for only 5 minutes. Once
the time is done, the students will
submit their work. In the activity, the
students will arrange the shuffled
words by sequencing the clues
indicated below the letter. Each group
will select a representative that will
The mean for set A ma’am is 14, while in
Set B it is also 14.
The set that has long line is Set A ma’am
while the short line is Set B.
It is ungrouped data ma’am because the
data are not in table.
The set of data is considered ungrouped
ma’am.
Students’ answers may vary.
Yes we are ready.
Yes ma’am.

pick the words to be arrange and a
representative to recite the sequence
that they created.
Number 1:
Number 2:
Number 3:
Number 4:
Number 5:
Number 6:
2. Analysis
What did we do in our activity?
Correct. What is the word for
number 1?
Kindly recite the description on each
letter.
The students will answer:
The students will answer:
The students will answer:
The students will answer:
The students will answer:
The students will answer:
We were tasked to arrange the letters
base on the clues below the letter ma’am.
The word ma’am is RANGE.
A student will recite the steps in each
letters.

Very Good. In order to find the spread
of the scores of Mel, what did she
discover?
Exactly. The dicovery of Mel is the
definition of range which we will?
Very Good. What will be the range of
the scores? Which set has less
spread?
Excellent. Therefore, the scores in
Math class is more consistent and
closer together.
The formula above is applicable for
grouped data. For group data, we will
first get the upper boundary of the
highest score and the lower boundary
of the lowest score.
What is the lowest score? What is the
lowest boundary? The highest score
and highest boundary?
After identifying the lowest and
highest Boundary, simply subtract the
highest To the lowest boundary. So
the range is?
What if the two sets of data have the
same range? Is there other
way to compute the spread of the
data? Let us find out later.
What is the answer for the shuffled
letter no. 2? Kindly recite the
description below the letters.
What did Joy find first?
What is the mean?
In subtracting the individual scores to
the mean why it is important to get its
absolute value?
In mean deviation, we are concerned
with the distance of the individual scores
from the mean and there is no negative
distance so we make sure to get is
absolute value. So, if we will solve the
mean deviation, we will create a table:
She subtract the lowest score from the
highest score ma’am.
We will subtract the lowest score from the
highest ma’am.
The range of her score in Math is 5, while
8 in English ma’am. So the scores in math
is less spread.
The lowest score ma’am is 11 and the
lowest boundary is 10.5, while the highest
score is 22 and the highest boundary is
22.5.
The range is 12 ma’am.
Students’ answer may vary.
The answer ma’am is MEAN DEVIATION.
A student will recite the steps below the
letters.
The mean ma’am.
The mean is 25 ma’am.
The students’ answer may vary.

What will do next?
Very Good. So our mean deviation is?
Now, let us focus on number 3, what is
the word?
In the letter V, it indicates that it is a raw
score, is data grouped or ungrouped?
Correct. Kindly recite the description
below the letter.
Very Good. What is the first step of
Veronica in finding the spread of her
scores?
After she find the difference of the mean
and the individual score, what did she do
with the result?
So if we will get the variance, we will
create a table.
What is the summation of the squared
over the number of terms?
Very Good. Now what is the word for
number 5?
Please recite the description below the
letters.
What are your observation from the
description recited?
Exactly. Standard deviation (SD) is the
squareroot of the variance, so the SD is?
Now, we will proceed on the next word.
What is the word for number 5?
Okay. Kindly recite description below the
letters.
What is the first step?
We will add the all the result and divide the
number of terms.
The mean deviation ma’am is 10.
The word ma’am is VARIANCE.
It is ungrouped data ma’am.
A student will recite the steps below the
letter.
She first determines the mean ma’am.
She squares the result ma’am.
The variance is equal to 5.
The word is STANDARD DEVIATION
ma’am.
A student will recite the steps below the
letter.
It is almost the same with variance ma’am
but the standard deviation has square root.
The standard deviation is 2.24.
The word for number 5 ma’am is
VARIANCE.
A student will recite the steps below the
letter.
We need to find the class mark ma’am.

How can we find the class mark?
Very Good. Now we will create a table.
What is the summation of the f(x-
mean)^2?
Using the formula, what is our variance?
What do you think is difference of this
variance from the variance presented
earlier?
Very good. The formula earlier is for
finding the variance for ungrouped data
while this is the formula for finding the
variance of grouped data.
Now, we will reveal the last word. What is
the word?
Kindly recite the description underneath
the letters.
Do you have any observation?
Very Good. In finding the standard
Deviation of grouped data follow the
Steps in finding the variance and find its
squareroot.
3. Abstraction
The terms that you discovered are the
different measures of spread or
measures of variability. Again, what is
the purpose of measure of variability?
Very good. Always remember that the
lesser the variability, the more
consistent the scores and the data.
Now, what are the measures of
variability for ungrouped data and
grouped data?
4. Application
By adding the two interval and dividing it
by the number of terms.
The summation ma’am is 420.
The variance is 14.48 ma’am.
The difference ma’am is that the data
earlier are raw score while the data now
contains interval and frequency.
The word ma’am is STANDARD
DEVIATION.
A student will recite the steps below the
letter.
Yes ma’am. It is same with the steps in
variance but final answer will be in square
root.
The measures of variability allows us to
know how spread our scores/ data ma’am.
The measures of variability for ungrouped
and grouped data ma’am are range, mean
deviation, variance, and standard
deviation.

Now that you know the measures of
varibility of grouped and ungrouped
data, we will be having a group activity. I
will divide you into two groups. Each
group will select their group leaders. The
leader will be the one who is responsible
for dividing the task among the members
of the group.
Each group will be given a pen and a
manila paper that consists of tables the
goal of the group is to complete the table
and answer the given questions. The
activity will only cover 15 minutes of the
time.
1. Complete the table below and find the:
1.1 Standard Deviation
1.2 Variance
1.3 Range
2. Complete the table below and find the:
2.1 Variance
2.2 Standard deviation
The students will answer the ff:
The students will answer the ff:
The students will answer.

IV. Evaluation
Class, write TRUE if the statement is
true and FALSE if the statement is false.
You have two minutes to answer this quiz.
1. The measures of variability allows
us to determine the spread of the
data.
2. The greater the variability, the
more consistent the scores
3. In finding the range of ungrouped
data, we will subtract the highest
score to the lowest score.
4. In finding the range of the group
data, we will subtract the highest
class mark to the lowest class mark.
5 . The first step in getting the variance
of grouped data is to determine the
class boundary.
6. In finding the mean deviation, it is
important to get the absolute value of
(x-mean).
7. In finding the variance, we need to
square root the result of (x-mean).
8. Standard deviation is the squareroot
of variance.
1. TRUE
2.FALSE
3. TRUE
4. FALSE
5. FALSE
6. TRUE
7. FALSE
8. TRUE
V. Assignment
Given the data below, find the individual range, mean deviation and the standard
deviation of the scores of the three students in their Mathematics quizzes. Determine
which student has more consistent scores.
VI. Remarks
Prepared By:
Junila A. Tejada
Teacher Applicant