A DETAILED LESSON PLAN IN STATISTICS AND PROBABILITY
Topic : Computing the Point Estimate of a Population Mean
Teacher : MYLA R. ROCIO
Time Frame : 1-2 hours
Grade Level : Grade 11
Content Area : Estimation of Parameters
Quarter : IV
I. OBJECTIVES:
Content Standard: The learner demonstrates understanding of key concepts of estimation of
population mean and population proportion.
Performance Standard: The learner is able to estimate the population mean and population
proportion to make sound inferences in real-life problems in different disciplines.
Learning Competencies:
Identifies point estimator for the population mean. (M11/12SP-IIIf-4)
Computes for the point estimate of the population mean. (M11/12SP-IIIf-5)
Specific Objectives:
At the end of the lesson, the students should be able to:
1. Understand the concept of estimation.
2. Distinguish between point estimate and interval estimate.
3. Find the point estimates of population means and proportions.
II. SUBJECT MATTER:
Topic: Computing the point estimate of a population mean
References: Statistics and Probability Book, pp 139 - 151
Materials: TV, Laptop, Manila Paper, Pentelpen
III. PROCEDURES
Teacher’s Activity
A. Preparatory
1. Greetings
2. Checking of Attendance
3. Checking of Assignments
4. Energizers (Chicken Dance)
5. Review
Multiple Choice:
1. What do you call the set of all people, objects, events, or ideas you want to
investigate? A B(Population) C D
2. A sample refers to _____________ of a population. A(a subset) B C D
3. What is the mean of 13, 27, 29, 17 and 14? A B C(20) D
4. Which of the following symbols denotes population mean? A B C(µ) D
5. Which of the following symbols denotes population standard deviation? A B C(Õ) D
B. Lesson Proper:
1. ELICIT
Activity 1: Wake-Up Time.
Task: To collect information about the wake up time of every students and use tally
mark to every information.
a) Prepare a tally board with the headings: time, tally and frequency.
b) Let students fill out the tally board using a tally marks. A tally mark is a vertical stroke I.
c) After the student has entered a tally mark, count the tally marks for every row and put
this number under the heading Frequency.
d) For times in between, agree on rounding rule.
Questions:
a) What is the equation to determine the average?
b) What are the number operations involved?
c) What is the average number of persons woke up in the given time?
d) What do you call the average computed from the table?
2. ENGAGE
Activity 2: Computing the mean of means.
Suppose, the activity 1 was repeated to randomly selected Bacan High School classes, let
student compute the mean of all the classes then compute the mean of the means.
Time
Frequency
St. Anthony
5:00
5
5:30
10
6:00
10
6:30
5
7:00
5
Total
Mean
Mean of the means
Frequency
St. Joseph
Frequency
Rizal
Frequency
Faith
Frequency
Rose
Frequency
diamond
8
10
12
7
3
5
6
13
6
5
3
5
7
2
3
10
15
12
5
3
8
12
15
10
5
3. EXPLORE
a. What have you observed to the table?
b. What is the mean of all the means?
c. This value is called ______________ of the population parameter.
d. How do we compute the point estimate of the population parameter?
4.
a)
b)
c)
d)
EXPLAIN
Discuss concept of estimation.
Discuss the difference between the point estimate and interval estimate.
Give examples of point estimate and interval estimate.
Discuss how to find the point estimates of population means.
5. ELABORATE
Group Activity:
Find the point estimate of the population parameter of µ of the students score in a long
test in Math.
78
75
86
82
70
85
83
83
80
92
82
85
80
88
84
86
90
88
90
78
78
83
90
86
75
85
77
88
85
90
85
83
83
86
83
84
86
92
85
80
ABSTRACTION/GENERALIZATION
1. What is estimation?
2. How will you differentiate point estimates and interval estimate?
3. How to compute the estimate of the population parameter?
6. EVALUATE
Find the point estimate of the population parameter of the given Scores in a long test
in Math.
7. EXTEND
Collect the age of your classmates and give the estimate of the population parameter.
Write your answer in a short bond paper.
IV. REMARKS:
Mastery Level: _____ = ____%
Instructional Decision: ________
V. REFLECTION:
Prepared by: MYLA R. ROCIO
Teacher 1