Illustrating the
Nature of
Bivariate Data
OBJECTIVES:
1. Define univariate and bivariate data.
• 2. Identify variables in community-based situations.
• 3. Differentiate univariate from bivariate data.
• 4. Describe possible relationships between two variables.
• 5. Apply the concept to real-life community decisions
ACTIVITY 1:
Read each research scenario carefully. Raise 1
finger if there is one piece of information being
measured. Raise 2 fingers if there are two pieces of
information being measured.
A TLE class records the number of handcrafted products (like bamboo
baskets or crafts) made by students in one week.
week
In your MAPEH class, your teacher, Sir Patrick Feria, collects
data on the number of hours students spend practicing a sport
or dance routine and their performance scores to understand
the relationship between practice and skill improvement.
In a Science 10 class, Sir Lexter Yap, measures the height and
weight of Grade 10 students to study patterns in nutrition and
physical growth.”
An English class conducts interviews with 10 students to find
out the number of hours they spend reading and their
vocabulary quiz scores.
An EsP class conducts a survey to determine the number of
community service activities students participated in.
Processing Questions:
1. Can you identify situations where only one piece of
information is being measured?
2. Can you think of situations where two pieces of
information are being measured together?
A Grade 11 class wants to find out whether students
who eat breakfast perform better in their Math quizzes.
1.What are the two pieces of information we need to collect to study this
situation?
2.Why do you think eating breakfast might affect quiz scores?
3.If we find a pattern between breakfast and quiz scores, how can this
information help students improve their performance?
4. Do you think all students who eat breakfast will always score higher? Why or
why not?
UNIVARIATE
A farmer recorded number of sweet
potatoes harvested daily.
BIVARIATE
A family recorded farming hours and number
of crops harvested.
UNIVARIATE
BIVARIATE
Data that involve one variable is called
univariate data. Univariate
Data that involve two variables are
called bivariate data.
Data are often described using the
measures of central tendency
(mean or
average, mode, and median),
variations, or other descriptive
statistics
The statistical procedure used to
determine and describe the
relationship between two
variables is called correlation
analysis.
Group Activity: “Community Data Investigation”
Each group chooses ONE scenario:
1.Study Hours & Math Test Scores
2.Hours Spent on TLE Project & Product Quality ScoreStudy hours & school
performance
3.Practice Time & MAPEH Performance Rating
4.Reading Time & Essay Writing Score
5.Science: Sleep Hours & Science Quiz Score
6.Mathematics: Attendance & Quarterly Grade
7.MAPEH: Daily Screen Time & Physical Fitness Test Result
8.EsP (Values Education): Community Service Hours & Leadership Rating
Task:
Complete table:
| Situation | Variable 1 | Variable 2 | Type of Data | Possible Relationship |
Groups present.
Activity: Scatterplot Analysis
Mathematics: Attendance & Quarterly Grade
Scenario:
The Math teacher recorded the number of days each student was present during the quarter (out of
50 school days) and their Quarterly Math Grade.
Projected Data (Sample of 10 Students)
Student
Days Present (out of 50)
Quarterly Math Grade
A
B
C
D
E
F
G
H
I
J
32
35
36
38
40
41
42
44
45
46
78
80
82
85
87
88
90
92
93
95
Students answer:
1.What are the variables?
2.What pattern do you observe?
3. What relationship exists?
1.Data involving one variable is called ______.
2.Identify variables: Basket weaving hours & income.
3.Is “average weekly harvest” univariate or bivariate?
4.What method describes relationship between two
variables?
5.If one increases while the other decreases, what
type of relationship?
Community Mini-Research Task
Option A
Interview a family member about farming hours & harvest.
Collect 5-day data of basket production.
Option C
Draw simple scatterplot.
Option D
Explain relationship in paragraph form.
Output submitted next meeting.
Complete the sentences.
1.Univariate data involve ______.
2.Bivariate data involve ______.
3.Relationship is analyzed using ______.
4. Understanding relationship helps families ______.
1. What do you call data involving two variables?
2. Identify variables: Rainfall & harvest.
3. Classify: Number of baskets per week.
4. What statistical tool analyzes two variables?
5. If one increases and the other decreases, what
relationship?
Remediation:
Guided fill-in:
One variable → ______
Two variables → ______
Method → ______
Enrichment:
Identify possible multivariate example in community.