Te Kete Ako · Year 9 Statistics

Ō Tātou Tāngata, Ō Tātou Tau

Our People, Our Numbers — Census Data Workbook

Ngā Whāinga Ako · Learning Intentions

  • Read a time series and compare population measures.
  • Calculate absolute, percentage, and percentage-point change.
  • Use evidence to communicate a careful conclusion.

Paearu Angitu · Success Criteria

  • I calculate and label at least two measures of change correctly.
  • My graph uses an accurate scale, title, and labels.
  • My conclusion gives evidence and acknowledges a limitation.

Resources already provided

All data, formulae, graph space, sentence frames, and response spaces needed for the core task are in this workbook. You need only a pencil and, if your kaiako permits it, a calculator.

He pātai tūhura · Investigative question

How did reported conversational use of te reo Māori change in Aotearoa from 2013 to 2023?

Before looking at the data, record your conjecture:

He raraunga, he tāngata · Data represents people

Statistics can reveal patterns, but they never contain the whole story. Te reo Māori is a taonga sustained through whakapapa, whānau, iwi, hapū, kura, kaiako, and communities. Use the Census as one evidence source—not as the only authority on language identity or vitality.

Data rangatiratanga prompt: Who gathered this data, who defined “speaker”, and who should help interpret what the results mean?

1. Pānui raraunga · Read the data

Census yearReported conversational speakersShare of total population
2013148,3953.7%
2018185,9554.0%
2023213,8494.3%

Puna kōrero / Source: Stats NZ, 2013–2023 Censuses. The Census language question asks whether a person can have a conversation about many everyday things. Counts are total responses for the census usually resident population. Percentages are rounded to one decimal place.

2. Tātai panonitanga · Calculate change

Absolute increase = new value − original value
2013 to 2023:
Percentage increase = (new − original) ÷ original × 100
2013 to 2023:
Percentage-point change = new percentage − original percentage
2013 to 2023:

Explain: Why is the percentage-point answer different from the percentage increase in speaker numbers?

3. Waihanga kauwhata · Create a time-series graph

Plot the speaker counts for 2013, 2018, and 2023. Choose a sensible vertical scale, label both axes, add a precise title, and join the points in time order.

4. Whakataurite · Compare age structure

Stats NZ reported these median ages in the 2023 Census:

Population measureMedian age
People identifying with Māori ethnicity26.8 years
Total Aotearoa New Zealand population38.1 years
  1. What does “median age 26.8 years” mean?
  2. Calculate the difference between the two medians.
  3. Suggest one implication for education, housing, language provision, or community services.
  4. Name one conclusion these two medians do not justify.

5. Arowhai kerēme · Check the claims

Claim A: “Reported conversational use of te reo Māori increased between the 2013 and 2023 Censuses.”

Supported, partly supported, or unsupported? Give evidence.

Claim B: “One named government programme caused the entire increase.”

Supported, partly supported, or unsupported? What extra evidence is needed?

6. He tirohanga kē · Another valid perspective

A Census offers a national count using one definition. Whakapapa, iwi or hapū registers, marae knowledge, and community-led language research may answer different questions. Explain why using more than one knowledge source can strengthen an investigation.

7. Whakatau · Write your PPDAC conclusion

Answer the investigative question in one evidence-rich paragraph. Include:

  • a clear statement of the trend
  • at least two specific figures or calculations
  • one sentence explaining why the change matters
  • one limitation or caution about the data
  • one useful next question

Sentence frame if useful: “The Census data shows … Between … and … the number/share changed by … This matters because … However, the data does not tell us … A useful next question is …”

Tīkiti puta · Exit ticket

Write one thing the data shows, one thing it cannot show by itself, and one question you now have.

Hononga marautanga · Curriculum alignment

This workbook supports the 2025 Mathematics and Statistics curriculum statement for Phase 4: time-series investigations, appropriate data visualisations and scales, calculation of percentage increase, communication of findings using evidence, and evaluation of whether claims are supported by data.

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