Detailed Lesson Plan In Statistics
I.
II.
Objectives:
At the end of the 50 minutes lesson, at least 75% of the students should be able to:
a. define the mode
b. compute for the mode of grouped data
c. manifest cooperation during the group activity.
Subject Matter
Topic:
Mode of grouped data
References:
Bernabe, Julieta G.,et.al., Advanced Algebra, Trigonometry And
Statistics (Textbook for four Year) (Quenzon City;SD.Publication Inc.)
c.2009, pp.267- 269
Materials:
laptop, projector, slide presentation, Chalk and blackboard, pictures,
pentel pen, and cartolina
Values Integration: Cooperation and Teamwork
III.
Procedure
1.
Teachers’ Activity
A. Daily Routine
1.Prayer and Greetings
2.Checking of Attendance
3.Classroom Management
B. Driil/Review
Determine the class width of the
following ungrouped data.
How to get range?
1. The sizes of 8 classes selected at the
random are:
40, 42, 39, 41, 42, 45, 23, and 42.
2. The 15 families in a barangay of Sab
agustin chosen at random are:
8, 7, 4, 6, 12, 6, 7, 6, 8, 10, 7, 8, 5, 3, 4.
C. Unlocking of Important Terms
Directions: Identify the word described using the
jumbled letters.
1. It is referred to as the most frequently
occurring value in a given set of data in a
distribution.
DEMO
2. It is the number, proportion, or
percentage of items in a particular
category in set of data.
YFEEQURCN
3. It is the obtained by dividing the range by
the numbers of classes.
SLACS DWIHT
4. It is the class with the highest frequency.
DAMOL SACLS
Student’s Activity
Range= Hs-Ls
𝑟𝑎𝑛𝑔𝑒
i= 𝑘
2𝑘 ≥ n
Answer:
1. MODE
2. FREQUENCY
3. CLASS WIDTH
4. MODAL CLASS
D. Motivation:
Directions: Identify the highest number of “likes”,
“comments”, or “tweets” in every set of pictures.
1.) Most Liked Facebook Page
Likes 17,000
Likes 17,000
Llikes 26,194
Likes 391
8,506,428
Question:
What is the highest number of likes in
Facebook Page?
Likes 8, 506, 428
2.) Most Followers in Twitter
Followers 8,608
Followers 2,100,281
.
Followers 125
Followers 3,409
Question:
What is the highest number of followers in
Twitter Page?
Followers 2,100,281
E. Lesson Proper:
Directions: Our topic for today is all about Mode
of grouped data, and we are going to find out the
step by step on how to compute the mode of
grouped data.
I have here an example.
Examples: The Weekly Wages of the
factory: Marina Factory
Weekly Wages
₱1,380-1,399
1,360-1,379
1,340-1,359
1,320-1,339
1,300-1,319
1,280-1,299
1,260-1,279
1,240-1,259
No. of Workers
4
6
12
31
24
15
11
8
The following are the steps in finding the mode
of grouped data.
Kindly read the first step.
What is the modal class in the example?
Step 1: Identify the modal class.
1, 320-1,339, 31
Why your answer is the modal class?
It has the highest no. of workers(31).
Please read the second step.
Step 2: Determine the exact lower class boundary
of the modal class (Lmo).
What is the lower class boundary of the modal
class?
Kindly read the third step.
What is the frequency of the modal class?
May I ask anyone to read the step four?
What is the difference between the frequency of
the modal class and the frequency below of the
modal class (d1)?
Please read the fifth step.
What is the difference between the frequency of
the modal class and the frequency above of the
modal class (d2)?
Lmo=1,319.5
Step 3: Identify the frequency of the modal class.
(𝑓𝑚𝑜).
𝑓𝑚𝑜= 31
Step 4: Find the difference between the frequency
of the modal class and the frequency below of the
modal class. (d1)
𝑑1 = 31 – 24 = 7
Step 5: Compute the difference between the
frequency of the modal class and the frequency
above of the modal class.(d2)
𝑑2 = 31 – 12 = 19
Kindly read the sixth step.
Step 6: identify the class width (i).
What is the class width in the example?
i= 20
Step 7: Compute the mode using the formula:
Please read the last step.
𝑓𝑚𝑜−𝑓1
May ask anyone to compute the mode of
grouped data?
Mo = Lmo +((𝑓𝑚𝑜−𝑓1)+(𝑓𝑚𝑜−𝑓2))i
31−24
)20
(31−24)+(31−12)
7
+(7+19)20
7
+( )20
26
140
+ ( 26 )
Mo = 1319.5+(
Mo = 1319.5
Mo = 1319.5
Mo = 1319.5
Mo ≈ 1319.5 + 5.38
Mo ≈ 1324.88
IV.
Application:
(Group activity)
Directions: Go to your group mates and form
circle in one place. Compute the mode of your
assigned problem. Write your solutions and
answer in the provided cartolina. Each group will
present their answer to the class.
Group 1: Find the mode of 20 students whose
Scores on a 15-point test are given in the
following distribution.
Scores
No. of Students
1-3
1
4-6
4
7-9
8
10-12
5
13-15
2
Group 2: A sample of 40 tourists traveled to
Puerto Galera with the distribution based on the
length of their stay (in years). Find the
Mode?
Length of Stay
No. of Tourist
(Years)
1-8
8
9-16
7
17-24
5
25-32
6
33-40
5
Group 3: Determine the mode of grouped data in
savings of the30 group of friends.
Savings
Number of group
P90-94
2
85-89
5
80-84
8
75-79
12
70-74
3
Group 4: The number of hours in the 49
employee
Of the ayala company.
Hours
Employee’s
1-4
9
5-8
12
9-12
14
13-16
10
17-20
4
Group 5: The heights (inches) of the 40 students
At UBNHS.
Heights(inches)
No. of Students
52-54
24
55-57
4
58-60
3
61-63
8
67-69
10
70-72
9
V.
Generalization:
Let’s summarize the lesson dicussed today.
1. What is Mode?
Mode It is referred to as the most frequently
occurring value in a given set of data in a
distribution.
2. How to computed the mode of grouped Step 1: Identify the modal class.
data?
Step 2: Determine the exact lower class boundary
of the modal class (Lmo).
Step 3: Identify the frequency of the modal class.
(𝑓𝑚𝑜).
Step 4: Find the difference between the frequency
of the modal class and the frequency below of the
modal class. (d1)
Step 5: Compute the difference between the
frequency of the modal class and the frequency
above of the modal class.(d2)
Step 6: identify the the class width.
Step 7: Compute the mode using the formula:
F. Evaluation
Let us answer another example.
Example:
Calculate the mode of 50 students in Advance
Algebra.
Grades in Advance
Frequency
Algebra
90-94
7
85-89
10
80-84
11
75-79
9
70-74
8
65-69
5
Answer:
Modal Class – 80-84
Lmo = 79.5
𝑓𝑚𝑜 = 11
d1 = 11- 9 = 2
d2 = 11- 10 = 1
i
= 5
Mo = 86.17
VI.
Assignment:
1. Define the variance and standard deviation.
2. What are the steps in computing the variance and standard deviation?