Detailed Lesson Plan in Mathematics
Pablo Roman National High School
March 10, 2017
Grade 7
1:00pm
I.
Objectives
At the end of the lesson 100% of the students shall be able to attain
85% level of proficiency to:
1. Identify mean, median and mode
2. Apply the concepts of mean, median and mode in real
life situation
3. Solve for the mean, median and mode
II.
III.
Subject Matter
A. Topic: Measures of Central Tendency
B. Concepts:
Mean- is the average value of all the data in the set.
Median- the value that has exactly half the data above it and
half below it.
Mode- is the value that occurs most frequently in the set.
C. Reference: College Statistics with Computer Applications (2015
Edition Reynaldo G. Barata, Sergio E. Ymas Jr.)
D. Materials: Laptop and LCD Projecor
Learning Activities
A. Routinary Activities
1. Prayer
2. Greeting the class
3. Checking of the attendance
4. Passing of the assignments
B. Developmental Activities
Teacher’s Activities
Pupil’s Activities
1. Review
Before we start to our new lesson let us have first a
review regarding our previous lesson about Graphical
Representations of Frequency Distributions
What is graph?
Graphs are useful for conveying information very
quickly
Thank you! The Summaries of data may be in the form of
what?
Tabular, graphical or numerical form
Very Good! Will you enumerate the most common graphical
methods?
Line graphs, time series, line charts, bar charts,
histograms, frequency polygons, ogives, pie
charts, pictograms, and logarithmic graphs
Very good! It seems that you do understand our previous
lesson about Graphical Representations of Frequency
Distributions
2. Motivational Activity
Now class, I have here a set of different popsicle
sticks with different colors I will divide the class into 3
groups each group will going to separate the popsicle sticks
according to their color, and count the number of popsicle
stick with the same color you will write your answer on the
clean blank paper. Understand class?
Yes ma’am
Okay. Let’s start now I will give you only three minutes.
3. Lesson Proper
In our activity a while ago. What have you done?
We separate same kinds of popsicle sticks and we
count them.
Thank you! And that activity a while ago has a connection in
our topic for today which is Measures of Central Tendency
Now, class there are three most important measures in
Central Tendency so, before we continue I want you to give
me a number that ranges from 1-30 okay so, let’s start
From this number that you gave to me class, I want you to
add those number and divide your answer by 30 since the
total number that I want you to give to me is 30, understand
class?
(The students will give a number that ranges from
1-30)
Yes Ma’am
What answer did you get class?
15.5
Very good! And the answer that you get class is called the
mean of ungrouped data. So, base from our activity what do
you think is the meaning of the mean of ungrouped data?
Mean is the sum of all the scores divided by the
number of scores
Very good! Mean is the average of the scores and it is called
the mathematical center of a distribution, What is the
formula for finding the mean of ungrouped data?
The formula for finding the mean is
𝑥 +𝑥 +⋯+𝑥𝑛
𝑥̅ = 1 2𝑛
or ∑𝑛𝑖=1 𝑥𝑖
Very good! What do we call this sign
𝑥̅ class?
x-bar Ma’am
Good! Let us have some example.
Ex. 1 The weighted arithmetic mean of the numbers 12, 15,
16, 12, 15, 18, 18, 20, 12, and 18.
How many times that the numbers occurs?
Very good! What is the number of scores?
Thank you! Who wants to solve the weighted mean on the
black board?
12 occurs 3 times, 15 occurs twice, 18 occurs 3
times, 16 once and 20 once
The number of scores is 5
(The students will go the board and solve the
given problem)
Yes Ma’am
Is his answer is correct?
Okay so let’s have an another example
Ex. 2 60 students were asked how many books they had read
over the past 12 months. The results are listed in the
frequency distribution below. Calculate the mean number of
books read by each student
Number of books
0
1
2
3
4
5
6
7
8
Number of Students
(Frequency)
1
6
8
10
13
8
5
6
3
How we will determine the total number of books that were
read by the students?
We will multiply the number of books to the
students who read that particular number of books
Very good! What is the total number of books read?
60
Thank you! What is the mean now?
The mean number of books read by each student
was 4 books
Very good! Let’s proceed now to the next important
measures of central tendency which is median. I have here a
set of scores
4, 8, 10, 9, 6, 5, 10, 15, 19, 24, 23, 14
What did you observe on the given number?
The numbers are not arrange from highest to
lowest
Thank you. So, what we will going to do with this numbers?
We will arrange the number from ascending to
descending order
Very good! And what is the next thing that we will do after
arranging the numbers from ascending to descending order?
Solve for the value of median
What is the formula for finding the median?
Will someone go to the board and look for the median of set
of scores?
Is the answer is right class?
What is the definition of the median now?
x ̃= (N+1)/2
(The students will go to the board and solve the
median value of the set of scores)
Yes Ma’am
The median is the arithmetic mean of the two
middle values or called as the population of
central value
Very good! Let’s proceed now to the last important measures
of central tendency which is the Mode
What is mode class?
The mode is the most important frequently
occurring score in the ungrouped data
Thank you! Is there a formula in finding the mode of
ungrouped data class?
Good! Observed this set of scores class
2,5,5,6,8, 9
What is the most frequent scores that occurs in this sets of
numbers?
Ma’am there is no formula in finding the mode of
ungrouped data
Number 5 Ma’am because it appears twice
Thank you! And the number 5 is our mode since it appears
twice, and it is called as what kind of mode class?
It is called unimodal because there is only one
mode
How about on the second sets of numbers
12, 29, 35, 36, 45, 45, 50, 53, 55, 55, 62, 73, 80
What did you notice?
I observed Ma’am that the 45 and 50 appears
twice
Thank you! So our mode is 45 and 50 since they appear
twice, and this mode is called what?
It is called bimodal since the mode on the set of
numbers are two
Very good!
4. Application
Now class, I will group you into 2 groups I will give
each group a small folder that contain different problem, you
will answer the following question that being asked, after
that the one representative of the group will go in front and
discuss on how they solved the said problems. Understand
class?
5. Generalization
What are the most important measures of central
tendency?
Good! What is the definition of Mean?
That’s Right! How about the Median?
Very good. What is the Mode?
Yes Ma’am
Group 1
22. 5, 30, 45
Answer
Group 2
12.5, 15, 17
Mean, Median and Mode
Mean is the average of the scores and it is called
the mathematical center of a distribution
The median is the arithmetic mean of the two
middle values or called as the population of
central value
The mode is the most important frequently
occurring score in the ungrouped data
Prepared by: Joylyn T. Perez BSE III-MATH
IV.
Evaluation
I.
Define the ff:
1. Mean
2. Median
3. Mode
II.
Find the mean, median and mode and interpret the results
1. Determine the mean of the following set of numbers:
40, 61, 95, 79, 9, 50, 80, 63, 109, 42
2. A student recorded her scores on weekly math quizzes that were marked out
of a possible ten points her scores as follows:
8, 5, 8, 5, 7, 6, 7, 7, 5, 7, 5, 5, 6, 6, 9, 8, 9, 7, 9, 9, 6, 8, 6, 6, 7
What is the median and mode of her scores on the weekly math quizzes?
V.
Assignment
Read and Study the Percentiles, Deciles and Quartiles from page 57-60