Year Levels: 11-13 | Subject: Mathematics - Statistics
This activity uses authentic demographic data from Aotearoa New Zealand to explore how statistical representations can help us understand our diverse population. We acknowledge the importance of accurate representation of all cultural groups, particularly Māori as tangata whenua.
Use the following data from the 2018 New Zealand Census to complete the activities:
| Ethnic Group | Population | Percentage of Total |
|---|---|---|
| European | 3,297,864 | 70.2% |
| Māori | 775,836 | 16.5% |
| Pacific Peoples | 381,642 | 8.1% |
| Asian | 707,598 | 15.1% |
| Middle Eastern/Latin American/African | 70,332 | 1.5% |
| Other | 54,819 | 1.2% |
For each research question below, select the most appropriate type of data visualization and justify your choice:
Using digital tools (Google Sheets, Excel, or online chart makers), create three different visualizations of the data above. For each visualization:
Note: For students using screen readers, describe your visualization choices in detail and provide text alternatives for any images created.
Examine these two visualizations of the same data:
Visualization 1: Pie chart with all ethnic groups shown equally
Image description: A pie chart showing ethnic group proportions with equal slice sizes despite different population percentages.
Visualization 2: Bar graph with accurate proportional representation
Image description: A bar graph accurately showing population numbers for each ethnic group with proper scaling.
| Criteria | Achieved | Merit | Excellence |
|---|---|---|---|
| Data Visualization Accuracy | Creates basic visualizations with some errors | Creates accurate visualizations with appropriate formats | Creates sophisticated, accurate visualizations with insightful formatting choices |
| Cultural Consideration | Shows basic awareness of cultural representation | Demonstrates good understanding of cultural representation needs | Shows sophisticated understanding and application of culturally appropriate representations |
| Critical Analysis | Identifies basic differences in visualizations | Analyzes how visualization choices affect interpretation | Provides insightful analysis of visualization impacts with reference to cultural contexts |