This lesson plan teaches measures of position for ungrouped data. It begins with an activity where students arrange exam scores in order and identify the quartiles. The lesson then defines measures of position like quartiles and deciles, and explains how to find and interpret them using an example of students' math scores. Students practice finding the quartiles of another data set. Finally, an evaluation activity asks students to find and interpret the quartiles of classmates' ages from a table of data.

1. M N H S DREAMS (Dedication, Responsibility, and Efficiency for Achieving Meaningful Success)
Republic of the Philippines
Department of Education
Region III
Division of Gapan City
MARUHAT NATIONAL HIGH SCHOOL
Macabaklay, Gapan City
LESSON PLAN IN MATHEMATICS 10
I. Learning Objectives
At the end of the lesson, the students should be able to:
a. interpret measures of position;
b. calculate the specified measures of position; and
c. solve problems involving measures of position for ungrouped data with
accuracy.
II. Subject Matter
Topic: Measures of Position for Ungrouped Data
References: Learner’s Module pp. 355-372
Teacher’s Guide pp. 314-327
Materials:
PowerPoint Presentation
Manila Papers
Markers
Chalk and Board
III. Teaching Strategy
A. Pre-activities
- Prayer
- Greetings
- Checking of Attendance
- Motivation: 4 pics 1 word
Group Activity
The students will be grouped with five (5) members each. Tell them to follow the
directions and do it as fast as they can.
A group of students obtained the following scores in their Statistics quiz:
8 , 2 , 5 , 4 , 8 , 5 , 7 , 1 , 3 , 6 , 9
PROCEDURE:
1) Arrange the scores in INCREASING or DECREASING order
2) Identify the lowest score and highest score

2. M N H S DREAMS (Dedication, Responsibility, and Efficiency for Achieving Meaningful Success)
3) Find the middle score. Label it as 𝑄2
4) Identify the value between the middle score and the lowest score.
Label it as 𝑄1.
5) Identify the value between the middle score and the highest score.
Label it as 𝑄2.
Guide Questions:
 What is 𝑄1, 𝑄2, and 𝑄3 of their scores?
 How many students belong to 𝑄1, 𝑄2, and 𝑄3 in terms of their scores?
 Have you realize of finding the position of the scores?
B. Lesson Proper
1. Ask the students about their ages then organize the students’ responses which
will lead to the introduction of Statistics (ungrouped and grouped data).
2. Define measures of position.
Measures of position are techniques that divide a set of data into equal groups.
To determine the measurement of position, the data must be sorted from lowest to
highest or highest to lowest. The different measures of position are: Quartiles,
Deciles and Percentiles.
3. Enumerate the importance of measures of position.
 dealing with large amount of data, which includes the timely results
for standardized tests in schools, etc.
 trying to discover the smallest as well as the largest values in a given
distribution.
 examining financial fields for academic as well as statistical studies.
4. Define quartile
Quartiles are the score points which divide a distribution into four equal parts.
(Show an illustration of quartile measure of position)
5. Give an example.
The scores of 7 students in a Mathematics seatwork are:
7 , 4 , 3 , 6 , 7 , 4 , 8
a. Find lower 𝑄1, 𝑄2, and 𝑄3.
b. Interpret the results.

3. M N H S DREAMS (Dedication, Responsibility, and Efficiency for Achieving Meaningful Success)
C. Application
Find the first quartile (𝑄1), second quartile (𝑄2), and the third quartile (𝑄3), given
the scores of 10 students in their Mathematics.
4 9 7 14 10
8 12 15 6 11
D. Generalization
When do we apply measures of position?
IV. Evaluation
Andoy has an assignment to ask at random 10 students in their school about their ages.
The data are given in the table below.
NAME AGE
Ana 10
Tony 11
Dennis 12
Aira 13
Antonette 13
Christian 13
Susan 14
Lito 14
Michael 15
Gladys 15
1. What is 𝑄1, 𝑄2, and 𝑄3 of their ages?
2. How many students belong to 𝑄1, 𝑄2 , and 𝑄3 in terms of their ages?
V. Agreement
Answer Activity 8 “Aqua Running” pg. 372 (to be written on one whole sheet of paper)
Prepared:
HAZEL CHARISE N. GONZALES
Teacher I
Noted:
DAVID M. DAVID
School Principal II