Multivariate Data Investigation Worksheet

Name:

Date:

📊 Part 1: Investigative Questions and Conjectures

WALT: Pose investigative questions about populations and make conjectures about expected findings.

Vocabulary Support: Variable = characteristic being measured, Population = entire group being studied, Conjecture = educated guess

1. You are investigating youth sports participation in your local area. Which of these is the BEST investigative question?

How many students play sport?

Is there a relationship between age and hours spent playing sport per week?

What is sport?

Do all students like sport?

2. Write your own investigative question about student wellbeing in your school. Use this sentence starter:

Sentence starter: "Is there a relationship between ________ and ________ for students at our school?"

3. Based on your question above, make a conjecture (educated guess) about what you might find:

Sentence starter: "I predict that ________ because ________"

4. Extension Task: Identify three variables you would need to collect to investigate your question:

Variable 1: _________________ Variable 2: _________________ Variable 3: _________________

🔍 Part 2: Planning Ethical Data Collection

5. When collecting data from students, which ethical considerations are important? (Tick all that apply)

Getting informed consent from participants

Keeping responses anonymous

Sharing individual responses with teachers

Respecting cultural values and perspectives

6. You want to investigate the relationship between study hours and academic achievement. Describe how you would collect this data ethically:

7. For Advanced Learners: Explain why sample size matters in data collection and suggest an appropriate sample size for investigating study habits across your school:

📈 Part 3: Data Visualisation and Interpretation

8. Match each type of data investigation with the most appropriate graph type:

Time-series investigation

Relationship investigation

Comparison investigation

Scatter plot

Box plots

Line graph

9. Look at this scenario: A scatter plot shows student screen time (hours per day) versus sleep quality (rating 1-10). The points show a downward trend. Interpret this finding:

Sentence starter: "This graph suggests that as screen time increases, sleep quality tends to ________ because ________"

10. Reflection: How could this type of data investigation help your school community make better decisions about student wellbeing?

11. Extension Challenge: Design a brief data collection plan for your school that respects tikanga Māori principles and considers data as taonga (treasure). Include ethical considerations and cultural responsiveness: