Data Relationships and PPDAC
📊 Part 1: Understanding Data Relationships
1. Circle the best definition of a data relationship:
A connection or pattern between two or more variables in a dataset
A single piece of information collected from one person
The process of collecting data using surveys
A graph showing only one variable
2. Which of these are examples of data relationships in New Zealand contexts? (Check all that apply)
Relationship between school decile and NCEA pass rates
Connection between rainfall and dairy production
Link between house prices and distance from Auckland CBD
Correlation between All Blacks wins and team training hours
A single student's height measurement
3. Explain why understanding data relationships is important in everyday life, using a New Zealand example:
🔄 Part 2: The PPDAC Framework
4. Fill in the blanks to complete the PPDAC cycle:
P - ____________: What question are we asking?
P - ____________: How will we answer it using data?
D - ____________: Collecting and managing data
A - ____________: Visualising and summarising the data
C - ____________: Making sense and communicating findings
5. Match each PPDAC phase with its correct description:
1. Problem
2. Plan
3. Data
4. Analysis
5. Conclusion
A. Creating graphs and calculating statistics
B. Deciding what information to collect and how
C. Gathering and organising information
D. Identifying the statistical question to investigate
E. Interpreting results and sharing findings
🏫 Part 3: Applying PPDAC - Kapa Haka and Student Wellbeing
6. Consider this research question: "How does participation in kapa haka relate to student wellbeing in New Zealand secondary schools?"
a) Problem Phase - Rewrite this as a clear statistical question:
b) Plan Phase - How would you collect data to answer this question? Consider what variables you would measure:
c) What ethical considerations should be taken into account when collecting this data?
📈 Part 4: Data Collection and Relationships
7. Your class collected data on height (cm) and number of languages spoken. Complete the table with your own data:
| Student |
Height (cm) |
Languages Spoken |
| You |
_______ |
_______ |
| Partner 1 |
_______ |
_______ |
| Partner 2 |
_______ |
_______ |
8. Based on your small sample, do you think there might be a relationship between height and number of languages spoken? Explain your reasoning:
9. What type of graph would be most appropriate to display the relationship between these two variables?
Bar graph
Pie chart
Scatterplot
Histogram
🤔 Part 5: Reflection and Critical Thinking
10. Why is it important to consider variability and uncertainty when drawing conclusions from data?
11. Create your own statistical question about an issue relevant to New Zealand students. Then outline the first two phases of PPDAC for your question:
Your Statistical Question:
Problem Phase - Why is this question important?
Plan Phase - How would you investigate this?
12. How can understanding statistics and data relationships help you as a citizen of New Zealand?
