Multivariate Data Investigation

Name:

Date:

Students analyzing data charts and graphs

📊 Part 1: Understanding Investigative Questions

WALT: Pose clear investigative questions involving multivariate datasets about populations or groups.

1. Which of these is the BEST investigative question for a multivariate dataset about NZ secondary school students?

How tall are Year 11 students?

Is there a relationship between study hours and exam results across different subjects?

What is the average temperature in Auckland?

How many students are in our class?

2. A dataset contains information about NZ rugby players including: height, weight, position, years of experience, and salary. Which variables would you investigate together? (Check all good combinations)

Height and position

Weight and salary

Years of experience and salary

Position and weight

3. Complete this investigative question: "How does _____________ differ between _____________ and _____________?"

4. What makes a good investigative question? List two important features:

a) _________________________________________________

b) _________________________________________________

🔮 Part 2: Making and Justifying Conjectures

Context: A dataset shows information about Year 11 students at a New Zealand school: study hours per week, screen time per day, sleep hours per night, and academic grades.

5. Before looking at the data, what do you conjecture (predict) about the relationship between study hours and academic grades?

6. Justify your conjecture from Question 5. What evidence or experience supports your prediction?

7. Make a conjecture about screen time and sleep hours. What relationship do you expect to find?

8. Why is it important to make conjectures BEFORE analysing data? Choose the best reason:

It makes the investigation faster

It helps prevent bias and guides our investigation

It's a requirement for all statistical investigations

It makes the data more accurate

🤝 Part 3: Ethical Considerations and Te Tiriti Principles

9. When investigating data about people, we must consider data as taonga (treasure). What does this mean for how we handle student data?

10. Your investigation question: Write your own investigative question about a topic that interests you. Consider what variables and groups you would investigate.

My investigative question:

Variables I would investigate: ________________________

Groups/populations of interest: ________________________

11. Reflection: How could your investigation from Question 10 help your school or community?