1. A Detailed Lesson Plan in Mathematics 7 – Measures ofCentral Tendency of Ungrouped Data
I. OBJECTIVES
After 45 minutes of Discussion about “Measures of Central Tendency of Ungrouped Data”
90% of the Grade 7 students with 95% level of understanding should be able to:
1. define each of the three measures of centraltendency.
2. appreciate the significance of the measures of centraltendency.
3. calculate each of the three measures of central tendency.
II. SUBJECT MATTER
TOPIC:Measures of Central Tendency of the Ungrouped Data
MATERIALS: visual Aids – cartolina, numbers
REFERENCES: Mathematics 7, Learner’sModule, pp. 491-496
SKILLS: Computing and Analyzing
VALUES INTEGRATION:Associate the measures of central tendency in the real life
situation.
III. PROCEDURE (Inductive)
TEACHER’S ACTIVITY STUDENTS’ ACTIVITY
A. Preparation
Good morning class.
Class, let’s all stand and pray,
Let’s bow our heads to feel the presence of the
Lord.
In the name of the father, the son, the holy spirit.
AMEN. Lord help us,
Good morning ma’am.
Lord help us to,
Add our Patience
Subtract our Sins
Multiply our Blessings
And Divide our time to serve you.
AMEN…
2. While the class monitors checking the attendance,
Kindly pick up the pieces of paper under your
chair.
So, we have a perfect attendance,right class?
- okay, very good!!
*Review of the past lesson
Last meeting we discussed about the Organizing
data. So let’s have a short review.
What is organizing data?
Yes,__________?
Exactly!
What are the different forms used in organizing
data?
Yes,_________?
Very good!
*Motivation
Class, I prepared something under your chair.
Kindly get and paste it on the blackboard. The data
are 85,80,88,83,87,89,84,80,94,93,95,97,96,99,98
and 90.
Call a student to arrange the numbers from least to
greatest.
Class, what do you observe with the data?
Yes,_____________?
That’s a great answer!
Class if am I going to use these data
80,80,83,84,85,87,88,89,90 and 94 as the math
grades of the 10 students. Do you know that these
data can also be summarized into a single number
or single data?
B. Presentation
So be with me this morning class, as I
discuss to you about “Measures of central
Tendency of Ungrouped Data”.
Everybody read!
- Yes,ma’am
Organizing Data is the sorting, presenting and
arranging of collected information.
1. Textual form
2. Tabular form
3. Graphical form
The student paste the numbers on the board
80,80,83,84,85,87,88,89,90,93,94,95,96,97,98,99.
The Data given are all numbers and it is arranged in
order.
- No, ma’am
“Measures of central Tendency of Ungrouped
Data”
3. Okay, class listen carefully because after
my discussion you will be asked to define each of
the three measures of centraltendency, appreciate
the significance of the measures of centraltendency
in associating it into the real life situation and
lastly, you will be asked to calculate each of the
three measures of central tendency.
Am I understood class?
C. Comparison and Abstraction
Class there are three measures of
central tendency, first one is the mean.
Mean- or “average”,is the most commonly used
measure of central tendency. It is defined as the
sum of all the data scores divided by the number of
scores.
𝑀𝑒𝑎𝑛 =
𝑆𝑢𝑚 𝑜𝑓 𝑎𝑙𝑙 𝑡ℎ𝑒 𝑑𝑎𝑡𝑎
𝐷𝑖𝑣𝑖𝑑𝑒𝑑 𝑏𝑦 𝑡ℎ𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠𝑐𝑜𝑟𝑒𝑠
For example:
The grade of grade 7 student in math were as
follows:
80,81,83,84,
So from the formula given, let us now try to
analyze and then substitute the given values to the
given formula.
𝑀𝑒𝑎𝑛 =
𝑆𝑢𝑚 𝑜𝑓 𝑎𝑙𝑙 𝑡ℎ𝑒 𝑑𝑎𝑡𝑎
𝐷𝑖𝑣𝑖𝑑𝑒𝑑 𝑏𝑦 𝑡ℎ𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠𝑐𝑜𝑟𝑒𝑠
=
80 + 81 + 83 + 84
4
=
328
4
= 82
Hence,the mean grade of the ten students is 82.
Let’s have another example.
The five players of basketball team have the scores
of 10,15,20,10, and 25.
- Yes,ma’am
4. Who can answer the given example by applying the
formula?
Yes,____________?
Very Good!
Therefore,the mean score of the five players of
basketball is 16.
Do you understand class on how to find the mean
of the given data?
Is there any question?
Okay let us proceed to the second measure of
central tendency.
Median- it is the middle value.
To find the median, we have to follow the rule.
Arrange the data in order, from least to greatest.
First example:
10,15,20,10,25
Solution:
Apply the rule. Arrange the data in order, from
least to greatest. Then find the middle value.
10,10,15,20,25
Median = 15
2) 28, 35,15,12,18.
What is the median?
3) 80,80,83,84,85,87,88,89,90,94.
What is the median?
Why?
𝑀𝑒𝑎𝑛 =
𝑆𝑢𝑚 𝑜𝑓 𝑎𝑙𝑙 𝑡ℎ𝑒 𝑑𝑎𝑡𝑎
𝐷𝑖𝑣𝑖𝑑𝑒𝑑 𝑏𝑦 𝑡ℎ𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠𝑐𝑜𝑟𝑒𝑠
=
10+10+15+20+25
5
=
80
5
= 16
- Yes,ma’am
- None, ma’am
12,15,18,28,35
Ma’am the median is 18.
-None, Ma’am
There is no middle value ma’am.
5. Okay class, since the middle point falls hallway
between 85 and 87, so in order to get the median,
we need get the mean of these two values.
Median =
85+87
2
=
172
2
= 86
Therefore,the median of the given data is 86.
So do you understand class on how to find the
median of a set of data?
Is there any question?
Okay let us proceed to the next measure of central
tendency.
Mode- it is the value that occurs the most often in
the data set.
To find the mode for a set of data just select the
value that appears most often. Always remember, if
the given data set doesn’t have a mode, don’t write
zero mode just write no mode. And also, don’t
forget the Rule.
First example:
Using the same data.
80,80,83,84,85,87,88,89,90,94.
Which value appears the most?
Since 80 is the value that appears the most.
Therefore,80 is the mode.
2) Find the mode of the data set
21,23,25,26,24,27,21
Since 21 is the value that appears the most.
Therefore,21 is the mode.
Class is everything clear?
Do you have any question?
- Yes,ma’am
- No, ma’am
80 ma’am
21,21,23,24,25,26,27
21 is the mode ma’am
- Yes, ma’am
- None, ma’am
6. 3) 24,23,23,22,22,21
What is the mode?
So if there are 2 modes, we call them as bimodal.
If there are 3 modes, we call them as trimodal if
more than 3 we call them multimodal.
D. Generalization
Okay, again class. What are the three
measures of central tendency?
Yes,___________?
What is the formula of Mean?
- Very Good!
What is the rule in finding the median and
mode?
Yes, __________?
Precisely!
What will you write if the the given data doesn’t
have a mode?
Yes,_________?
Exactly!
E. Application
Okay, Let’s now have a drill. Group
yourself into 9.
You have five minutes to collect data from
your group mates. Ask the following
questions and record the data.
1. What is your shoe size?
a) find the mean.
b) find the median.
c) find the mode.
2. What is your age?
a) find the mean.
b) find the median.
c) find the mode.
Ma’am there are 2 numbers that appear the most,
these are 22 &23.
Mean, Median, Mode
𝑀𝑒𝑎𝑛 =
𝑆𝑢𝑚 𝑜𝑓 𝑎𝑙𝑙 𝑡ℎ𝑒 𝑑𝑎𝑡𝑎
𝐷𝑖𝑣𝑖𝑑𝑒𝑑 𝑏𝑦 𝑡ℎ𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠𝑐𝑜𝑟𝑒𝑠
Arrange the data in order.
No mode.
(Students Answered)
(Students Answered)
7. IV. EVALUATION
Directions: The data below shows the score of a student in the Monthly Examination. Analyze the given
data and answer the question below.
85,80,88,83,87,89,84,80,94,93,95,97,96,99,98,90
a. What score appears to be the median? How many students fail below that score?
b. Which scores frequently appears?
c. Calculate the mean, median and mode.
2. Appreciate the significance of the measures of centraltendency into reallife situation. Justify
your answer.
V. ASSIGNMENT
Direction: In your one-half crosswise, find the mean, median and mode.
1. Twelve computer students were given a typing test and the times (in minutes) to compute
the test were as follow:
8, 12, 15, 14, 19, 21, 24, & 38
Prepared By:
Regina C. Cruz
8. Mary the Queen College of Pampanga (Inc.)
General Teaching Demonstration
A Detailed Lesson Plan in Mathematics 7
Submitted by: Regina C. Cruz
Student Teacher
Submitted to: Mrs. Shirley M. Dabu
Cooperating Teacher
Date: February 10, 2017
9. Mary the Queen College of Pampanga (Inc.)
General Teaching Demonstration
A Detailed Lesson Plan in Mathematics 7
Submitted by: Arlyn S. Paule
Student Teacher
Submitted to: Mr. Ray-an P. Ramos
Cooperating Teacher
Date: February 10, 2017
