M7 Q3 0802 PS FD.pptx The Frequency Distribution Table

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Unit 8:
Data Collection,
Organization, and
Interpretation
Grade 7
Mathematics

Lesson x.y
Lesson Title
Lesson 2
The Frequency Distribution
Table
Mathematics

5
At the end of this lesson, the learners should be able to organize statistical
data in a frequency distribution table.
Learning Competency

6
Learning Targets
At the end of this lesson, the learner should be able to do the following:
● Classify whether data is qualitative or quantitative.
● Distinguish between discrete and continuous variables.
● Identify and describe a frequency distribution table.
● Organize data using a frequency distribution table.

Imagine being able to analyze the
viewing patterns of your favorite
video streaming channel or
understand the statistical
predictions behind weather
forecasts.
7

These sets of data are quite large,
right? These large sets of data
need to be organized into clear,
concise tables so that valuable
insights can be easily interpreted
and thus, people can make
informed and rational decisions.
8

9
This is the power of the frequency distribution table in real
life! In this lesson, you will study one of the methods of
data collection and organization. You will learn how to
organize and describe data in a frequency distribution
table correctly.

10
Essential
Questions
1.Why is it important to organize
data in a frequency distribution
table?

11
Essential
Questions
2.How does categorizing data aid in
its analysis?

Prerequisite Skill and Topics
Skill
● Computing for the percentage
Topics
● Math 7 Unit 2: Percentages | Lesson 1: Finding the Percentage, Rate, or
Base
● Math 7 Unit 8: Data Collection and Interpretation | Lesson 1: Data
Collection and Sampling Techniques

Digital Data Drivers
Suggested Time Frame: 10 minutes
Material: laptops or tablets with an internet connection
Instructions:
1. Form groups with 3–4 members. Each group should have at least one
laptop or tablet with internet connection.
2. Answer the online survey form provided by your teacher.
13
Warm-Up

Instructions:
3. Create a frequency distribution table using this website:
https://www.socscistatistics.com/descriptive/frequencydistribution/d
efault.aspx
4. Share what you have learned in class.
14
Warm-Up

Guide Questions:
1. How did the digital tools enhance your data analysis?
2. What are the advantages of using technology in data organization?
15
Warm-Up

Learn about It
These are characteristics that can assume different values over time from
subject to subject.
Examples:
Consider a study regarding the influence of social media on the learner’s
preferences in choosing a student leader. In this study, a researcher may
include the number of social media accounts per learner as one of the
variables. The researcher can also choose the gender of the learner as
another variable.
Variable

Learn about It
These are the subject on which a variable is being measured. It can be a
person, animal, or object.
Example:
Consider a study regarding the influence of social media on learner’s
preferences in choosing a student leader. If we choose the number of social
media accounts per learner as one of the variables, then the experimental unit
that we are considering is a person.
Experimental unit

Learn about It
This is a type of variable that describes or categorizes the quality or
characteristic of each experimental unit.
Example:
Gender and color are examples of qualitative data since these variables
cannot be quantified using numbers.
Qualitative variable

Learn about It
This is a type of variable that measures a numerical quantity on each
experimental unit.
Example:
Height, weight, time, and the number of objects allow numerical quantities as
data for a given experimental unit.
Quantitative variable

Learn about It
This is a type of quantitative variable that can only assume a countable
number (whole numbers) of values.
Example:
The number of objects is a discrete variable since it only has whole numbers
as possible values.
Discrete variable

Learn about It
This is a type of quantitative variable that can assume an infinite number of
values between any two specific values.
Example:
Height, weight, or time are continuous variables since they may contain
decimals.
Continuous variable

Learn about It
This is used to organize data and which can also help us display data
graphically.
Example:
A frequency distribution table is an example of a statistical table.
Statistical table

Learn about It
This is a type of statistical table that deals with the frequency or number of
occurrences of a given variable for a certain experimental unit.
Frequency distribution table
Category Frequency Relative Frequency Percentage

Learn about It
The parts of a simple frequency distribution table are as follows:
1. The category column is the things being considered.
2. The frequency is the number of times each category appears on the data
set.

Learn about It
The parts of a simple frequency distribution table are as follows:
3. The relative frequency is the portion of measurement relative to the total
sample. To get the relative frequency, divide the frequency of a fruit by the
total frequency. Note that the total of all of the relative frequencies must
be equal to 1.
4. The percentage is the portion of measurement relative to the total sample
in hundreds (%). Similarly, the sum of the percentage must be 100%.

Learn about It
Example:
apples 4 0.20 20%
bananas 2 0.10 10%
grapes 3 0.15 15%
mangoes 4 0.20 20%
oranges 4 0.20 20%
strawberries 3 0.15 15%
Total 20 1.00 100%

27
Let’s Practice
Example 1:
Teresa wanted to determine what variables can be connected with the study
of finding the favorite subjects of a set of randomly selected learners. After
asking a few people about the necessary variables, she came up with the list
below. Can you determine which among the variables are quantitative and
qualitative in nature?
a. the difficulty of the subject
b. the number of assignments given per week in the subject
c. the amount of time allotted in the subject per class
d. the instructional performance of teachers handling the subject

28
Solution to Let’s Practice
Solution:
Recall that the qualitative variable is a type of variable that focuses on the
quality or characteristics of each experimental unit, while quantitative
variables measure the numerical quantity of each experimental unit.
Thus, the difficulty of the subject and the instructional performance of
teachers are examples of qualitative variables since we can only describe
them based on their quality or characteristics, and we cannot count them.

29
Solution:
On the other hand, the number of assignments in the subject and the
amount of time per class are examples of quantitative variables since they
can be easily represented by numerical quantities.

30
Let’s Practice
Example 2:
After a survey, Anica gathered the data about fruit preference presented in the
table below.
a. How many of each fruit are there in the data gathered?
b. Create a frequency distribution table of the data gathered.
apple orange apple banana orange
mango apple orange banana orange
mango apple orange apple orange

31
Solution:
Step 1: Start by transforming the raw data (ungrouped data) into grouped
data by considering the frequency per fruit. Count the frequency per
fruit.
Based on the raw data, we have 5 apples, 6 oranges, 2 bananas, and 2
mangoes.

32
Solution:
Step 2: To create a frequency distribution table of the data, compute the
relative frequency of each fruit.
Determine the categories and frequency.
The categories are the set of selected fruits, namely apple, orange, banana,
and mango.

33
Solution:
The frequency of apple is 5, orange is 6, banana is 2, and mango is 2.
The total frequency is the sum of all these frequencies. Verify that there are 15
fruits.

34
Solution:
Fruit Frequency Relative Frequency Percentage
apple 5
orange 6
banana 2
mango 2
Total 15

35
Solution:
Step 3: Compute for the relative frequency.
Divide each frequency by 10.

36
Solution:
Step 3: Compute for the relative frequency.
Note that we rounded up as 0.34 so that the sum of the relative
frequencies would be equal to 1.

37
Solution:
apple 5 0.34
orange 6 0.40
banana 2 0.13
mango 2 0.13
Total 15 1.00

38
Solution:
Step 4: Compute for the percentage.
Compute the percentage by multiplying the relative frequency by 100.

39
Solution:
apple 5 0.34 34%
orange 6 0.40 40%
banana 2 0.13 13%
mango 2 0.13 13%
Total 15 1.00 100%

Did You Know?
The concept of organizing data into tables dates back to the 17th
century, used by John Graunt in analyzing London's mortality rates. This
early use laid the foundation for modern statistics.

Tips
Always double-check categories to ensure no data is missed. Use a tally
mark system for efficiency when counting large data sets.

Practical Applications
Frequency distribution table is a versatile tool used in various real-life
situations. Here are some practical applications of frequency distribution
tables:
Business
Businesses frequently use frequency distribution tables to understand
customer behaviors and preferences. By categorizing customer
responses or purchase patterns, companies can identify trends and
make informed decisions about product development, marketing
strategies, and customer service improvements.

Biology
In biology, frequency distribution tables are essential for ecological
studies, especially when tracking the populations of different species
within a habitat. Researchers can categorize species and count their
occurrences to assess biodiversity, monitor endangered species, or
study the impact of environmental changes.

Linguistics
Linguists utilize frequency distribution tables to analyze language
patterns, such as the usage frequency of different words or phrases in a
language. This analysis helps in understanding language evolution,
dialect variations, and even in developing language teaching materials
and dictionaries.

Try This
To be done individually
Complete the frequency distribution table below:
male 45
female 37
Total 82

Practice Your Skills
To be done individually
Create a frequency distribution table with the given data below:
red orange yellow blue red
violet yellow orange blue green
green yellow blue orange blue
blue violet violet green red

Challenge Yourself
To be done in groups of two to five
Janella conducted a survey about the preferred student government (SG)
president candidates of grade 7 students from a school.
Among the 150 respondents, 10% preferred Lloyd, 15% for Emily, 15% for
Anne, 10% for Patricia, 30% for Emmanuel, and the rest for Keith.
Janella wanted to organize the data in a frequency distribution table. Help
Janella create a frequency distribution table.

Key Points
● Variables are characteristics that vary over time from subject
to subject.
● An experimental unit is a subject on which a variable is being
measured. It can be a person, animal, or object.
● A qualitative variable is a type of variable that focuses on the
quality or characteristics of each experimental unit.
● A quantitative variable is a type of variable that measures a
numerical quantity on each experimental unit.

Key Points
● A discrete variable is a type of quantitative variable that can
only assume a countable number (whole numbers) of values.
● A continuous variable is a type of quantitative variable that
can assume more than just countable numbers.
● A statistical table is used to organize the data and which can
also help us display the data graphically.
● A frequency distribution table is a type of statistical table
that deals with the frequency or number of occurrences of a
given variable for a certain experimental unit.

50
Synthesis
Wrap-Up
1. What is the purpose of a frequency distribution table?
2. How does categorizing data help in understanding it?

51
Synthesis
Application and Values Integration
1. How can understanding frequency distribution tables help in real life?
2. What values are important when working with data?

52
Synthesis
Bridge to the Next Topic
1. How does organizing data help in its presentation?
2. What are some methods of presenting data?

Attribution References
● Slides 4, 7, and 8: Illustration of data storage by
rawpixel.com is licensed under Freepik License via
Freepik.
“Frequency Distribution Table” Cuemath. Accessed
January 29, 2024.
https://www.cuemath.com/data/frequency-distri
bution-table/
.
Pierce, Rod. "Frequency Distribution." Math Is Fun.
Accessed January 15, 2024 from
https://www.mathsisfun.com/data/frequency-dist
ribution.html
53

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