Department of Education
Region V (Bicol)
Division of Catanduanes
BAGAMANOC RURAL DEVELOPMENT HIGH SCHOOL
Bagamanoc, Catanduanes
Daily Lesson Plan
STATISTICS AND PROBABILITY
I. OBJECTIVES
A. Content Standard
The learner demonstrates understanding of key concepts of sampling and
sampling distributions of the sample mean.
B. Performance
Standard
The learner is able to apply suitable sampling and sampling distributions of
the sample mean to solve real-life problems in different disciplines.
C. Competencies
The learners illustrate random sampling. (M11/12SP-IIId-2)
K- Define what is random sampling
U- Explain the different random sampling techniques
D- Make a plan showing the appropriate random sampling techniques to be
use in your research study
II. CONTENT
III. LEARNING
RESOURCES
A. References
Random Sampling
Statistics and Probability-Grade 11
Alternative Delivery Mode
Quarter 3-Module 14: Identifying the Different Random Sampling
Techniques
First Edition, 2021
B. Other Learning
Resources
IV. PROCEDURES
A. Presenting the new
lesson
Your teacher asked you to make research as a requirement to pass the
subject Practical Research 1. (Integration to Practical Research)
Task: Plan to make a study about “The Effects of Playing Online Games to
Students Academic Performance”
B. Establishing a
purpose for the
lesson
(Diagnostic Test)
1. What method/s or technique/s are you going to use to gather data
regarding your research topic?
2. Who will be your target respondents?
3. Will you use the whole population as your target respondent? Or are
you going to take a sample out of the whole population?
In research, collecting data can either be done in the entire population or
the subset of this population, called sample. But what exactly is sampling,
and how does it work? What does it mean to randomly sample people, and
how does a researcher do that?
C. Presenting
Definition of Terms
examples/Instances
of the Lesson
Population- the whole
universe or consists of all
elements or totality of things
considered in a study.
Sampling- process of
selecting a section of the
population
Sample- part/ portion/
fraction/segment of the
population being studied.
Random Sampling- method of choosing an equally distributed
subset/portion from a larger population to be used as basis in describing or
making conclusions about the population
Probability Sampling- it is a sampling method that allows every member
of the population to have an equal chance of being selected into the sample
Non-Probability Sampling- it is a sampling method that does not allow
every member of the population to have an equal chance of being selected
into the sample
D. Discussing new
concepts
Scenario 1: As of May 6, 2020, the Department of Health recorded 131,786
unique individuals who got tested for the COVID-19 out of approximately
109,369,019 Filipinos. (Integration to Real-Life Situation)
1.
2.
3.
4.
Identify the population.
How many elements are there in the population?
How many samples are selected?
Who are the samples?
5. Did the situation illustrate random sampling? Why or why not?
Scenario 2: Barangay Sta. Teresa has 400 family beneficiaries of the
government’s Social Amelioration Program (SAP). The Brgy. Captain
decides to survey how these recipients spent their money during
community quarantine. He wrote each of the names of the beneficiaries in
small piece of papers. He rolled and put them in a box then drew out 50
names to answer the survey questionnaire. (Localization)
1.
2.
3.
4.
5.
E. Discussing new
concepts and
practicing new
skills
Identify the population.
How many elements are there in the population?
How many samples are selected?
Who are the samples?
Did the Brgy. Captain use random sampling in the situation? Why?
There are different types of Probability Sampling.
(The teacher will present 4 different situations that involve random
sampling and let the student analyze the definitions of the different random
sampling techniques.) (Deductive Approach)
1. A researcher writes the name of each student on a piece of paper,
mixes the paper in a bowl, and draws 7 pieces of paper. (Simple
Random Sampling)
2. A researcher tells the class to count and then selects those students
who count a multiple of 7 numbers. (Systematic Random
Sampling) (Integration to Numeracy)
3. A researcher separates the list of boys and girls, then draws 7 names
by gender. ( Stratified Random Sampling)
4. A researcher surveys all students from 3 randomly selected classes
out of 7 classes. (Cluster Sampling)
(Discussion of the different random sampling technique)
F. Developing mastery Group Activity: The students will be group into 4 through counting
(systematic random sampling) and the student will answer the questions in
a form of a game.
Mechanics of the Game:
1. The student will be group into 4 through counting.
2. The teacher will flash the question through a power point
presentation.
3. The students in the first row will be the one to answer the first
question, 2nd row for the 2nd question and so on.
4. The student will be given 30 seconds to answer the question.
5. The student will write their answer on the flashcard to be given by
the teacher. (Note: The student should write the word simple,
systematic, stratified or cluster. Wrong spelling is wrong.)
6. Each group will be given 1 point for every correct answer. The
group with the highest score will be declare as the winner.
Identify the random sampling technique used in each item/situation
1. You were given a list of all graduating students in your school. You
decided to survey every 10th student on the list and asked them the
organization where they belong. (Systematic)
G. Finding practical
application of the
concepts and skills
in daily living
H. Generalization
I. Evaluation
2. You wish to make a comparison of the gender differences in
Mathematics performance. You divided the population into two
groups, composed of males and females, and randomly picked
respondents from each group. (Stratified)
3. You assigned numbers to the members of the population and then
used draw lots to obtain your samples to answer your survey on the
most popular online games in the Philippines.
(Simple)
4. You randomly picked five out of fifteen barangays to conduct your
survey in your municipality or city about their best environmentfriendly practices. (Cluster)
5. You wrote the names of each student in pieces of papers, shuffled
and then draw eight names to answer a survey on their favorite
subject. (Simple)
6. The teacher randomly selects 20 boys and 15 girls from a batch of
learners to be members of a group that will go to a field trip.
(Stratified)
7. A sample of 10 mice are selected at a random from a set of 40 mice
to test the effect of a certain medicine. (Simple)
8. The organizer created a list of all players and decided to surveyed
every sixth name on the list, and later asked those players that were
selected to answer a questionnaire. (Systematic)
9. Each team was asked to place papers with its players name into
separate bowls randomly drew out five names in each bowl. The five
names from each team were combined to make up the sample.
(Stratified)
10. A researcher surveys all students from 3 randomly selected classes
out of 7 classes. (Cluster)
 What is the importance of using SAMPLING especially to researches?
Would you do the same? Why?
 If you were to create your own research, will you use random
sampling? Why or why not? If yes, what kind of random sampling
are you going to use? If not, how will you obtain your samples?
(HOTS Questions)
The teacher will use the simple random sampling technique to ask the
student several questions.
1. What is random sampling?
2. What are the different random sampling techniques?
3. What sampling technique can we best use to gather data on the
research topic “Effects of Playing Online Games to Students
Academic Performance?” (Integration to Empowerment
Technology/MIL)
Differentiated Activity
Easy- Identify the type of sampling technique being referred to:
1. It is the most basic random sampling wherein each element in the
population has an equal probability of being selected.
2. Is a random sampling that uses a list of all the elements in the
population and then elements are being selected based on the kth
consistent intervals.
3. Is a random sampling wherein the population is divided into
different strata or divisions.
4. Is a random sampling wherein population is divided into cluster or
groups and then the clusters are randomly selected.
5. This sampling technique is also called as Fish Bowl Technique.
Average- Identify the type of sampling technique being referred to:
1. A researcher writes the name of each student on a piece of paper,
mixes the papers in a bowl, and draws 7 pieces of paper.
2. A researcher selects every 7th student from a random list.
3. A researcher tells the class to count off and then selects those
students who count a multiple of 7 numbers.
4. A researcher separates the list of boys and girls, then draws 7 names
by gender.
5. A researcher surveys all students from 3 randomly selected classes
out of 7 classes.
Difficult- In the research topic “The impact of the pandemic on people’s
social media behaviors” make a plan regarding the appropriate sampling
technique to be use and how to do it. (Integration to Literacy/English)
Criteria
1 (Poor)
Identification Does not
of Population correctly
Selection of
Sampling
Technique
Justification
for Sampling
Technique
Description
of Sampling
Procedure
2 (Fair)
3 (Good)
Correctly
identifies the
population
but does not
explain its
relevance or
context in the
plan
Correctly
identifies the
population
and provide
some
explanation of
its relevance
or context in
the plan
4 (Excellent)
Clearly and
concisely
identify the
identifies the
population
population
or does not
and provides
include it in
a thorough
the plan
explanation of
its relevance
or context in
the plan
Does not
Selects an
Selects an
Selects an
select an
appropriate
appropriate
appropriate
appropriate sampling
sampling
sampling
sampling
technique but technique and technique and
technique
does not
provides
provides a
or does not explain its
some
thorough
explain the advantages
explanation of explanation of
chosen
or
its
its
technique
disadvantages advantages or advantages or
disadvantages disadvantages
Does not
Provides a
Provides a
Provides a
provide a
justification
clear and
clear and
justification for the chosen wellwellfor the
sampling
supported
supported
chosen
technique but justification
justification
sampling
it is not wellfor the chosen for the chosen
technique
supported or sampling
sampling
or the
is unclear
technique
technique and
justification
also discuss
is
alternative
incomplete
techniques
or incorrect
and their
limitations
Does not
Provides a
Provides a
Provides a
provide a
description of clear and
clear and
clear
the sampling
wellwelldescription procedure
organized
organized
of the
sampling
procedure
or the
description
is
incomplete
or incorrect
but it is not
wellorganized or
is unclear
description of
the sampling
procedure
J. Additional activities
V. REMARKS
VI. REFLECTION
A. No. of learners who
earned 80% in the
evaluation
B. No. of learners who
require additional
activities for
remediation who scored
below 80%
Prepared by:
LANIE C. CAPISTRANO
SST- I
Observed by:
Noted:
ALMA A. VILLAFLOR
Head Teacher III
MILAGROS V. LIM
Principal II
description of
the sampling
procedure
and also
discusses
potential
challenges
and how they
will be
addressed