Year Levels: 11-13 | Subject: Mathematics - Statistics
This activity uses published 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.
Source: Stats NZ, 2018 Census ethnic group counts (total response). Kaiako: 2023 Census results are now published — check Stats NZ for current figures before teaching, and have ākonga compare the two if you can.
Use the following data from the 2018 New Zealand Census to complete the activities:
Before you start — these percentages add up to more than 100%, and that is not a mistake. Stats NZ records ethnicity as total response: a person who identifies as both Māori and European is counted in both rows. So you cannot put this straight into a pie chart, because a pie chart assumes the parts sum to the whole. Deciding what you can honestly draw from this table is the first task.
| 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 visualisation and justify your choice:
Using digital tools (Google Sheets, Excel, or online chart makers), create three different visualisations of the data above. For each visualisation:
Note: For students using screen readers, describe your visualisation choices in detail and provide text alternatives for any images created.
Examine these two visualisations of the same data:
Visualisation 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.
Visualisation 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 Visualisation Accuracy | Creates basic visualisations with some errors | Creates accurate visualisations with appropriate formats | Creates sophisticated, accurate visualisations 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 visualisations | Analyses how visualisation choices affect interpretation | Provides insightful analysis of visualisation impacts with reference to cultural contexts |