Make Data Speak

Overview

Students use their own class-collected data to complete the communication stage of the statistical inquiry cycle. They will import data into New Zealand Grapher, select a suitable statistical display, identify its important features, and communicate findings using evidence. Pair feedback will support revision and clearer explanations.

Learning intentions

• WALT use New Zealand Grapher to import data and create an appropriate statistical display.
• WALT describe patterns, clusters, gaps, spread and unusual values in a graph.
• WALT support statements with evidence from our data.
• WALT improve a statistical communication after receiving feedback.
• WALT show manaakitanga and whakawhanaungatanga when discussing classmates’ data.

Success criteria

• I can import class data accurately and choose a display suited to the variable.
• I can identify at least two meaningful features of my display.
• I can explain what the graph shows using values or other evidence.
• I can use feedback to revise one feature so my communication is clearer.

SOLO progression: I can identify a feature (uni-structural), describe several features (multi-structural), connect features to an overall finding (relational), and suggest a purposeful improvement (extended abstract).

Curriculum links

• Mathematics and Statistics — statistical inquiry, representing and interpreting data, and communicating findings.
• Mathematics and Statistics — Mathsteasers, supporting higher-order thinking and deeper understanding through challenge.
• Mathematics and Statistics — alignment of challenging mathematical thinking with relevant textbook and classroom content.
• Te Mātaiaho emphasis on reasoning, communicating, connecting ideas, and applying learning in meaningful contexts.

Lesson structure (60 minutes)

1. 0–10 min · Starter: Notice and wonder. Display a deliberately unclear graph from the class data using the starter graph and discussion prompt; students independently record two observations and one question, then share with a partner. Ask: “What makes a graph trustworthy and easy to talk about?” Briefly introduce the learning intentions and explain that respectful interpretation protects the mana of the people represented by the data.

2. 10–20 min · Model the tool. Use the New Zealand Grapher demonstration slides while projecting New Zealand Grapher. Model importing a prepared class-data file, checking variable names and categories, selecting a display, adding a clear title and labels, and identifying patterns, clusters, gaps, spread and unusual values. Think aloud about choosing a display: a bar graph for categories, a histogram or dot plot for numerical distributions, and a scatter plot for two numerical variables. Model one evidence-based sentence: “Most values are between ___ and ___, with an unusual value of ___.”

3. 20–25 min · Plan before creating. Distribute the statistical display and communication worksheet. Students work in pairs to select one variable or sensible pair of variables, predict an appropriate display, and explain why it fits. Check choices before students begin; prompt them to consider whether the data are categorical, numerical, or paired numerical data.

4. 25–40 min · Create and annotate. Students import their class data into New Zealand Grapher and produce one display. They add a meaningful title, axis labels or category labels, units where needed, and annotations identifying at least two features. On the worksheet, each student drafts three sentences: what the display shows, evidence for a pattern or comparison, and a limitation or question arising from the data. Circulate to check data accuracy, display choice and appropriate use of statistical language.

5. 40–50 min · Exchange and explain. Pairs exchange displays with another pair. Using the peer-review and kōrero prompts, each student gives a brief explanation supported by evidence, while listeners identify the main finding and ask one clarifying question. Feedback must name one strength and one specific improvement, using manaakitanga and respectful language rather than judging the people represented by the data.

6. 50–57 min · Revise for clarity. Students return to their own display and revise one feature, such as the title, scale, labels, annotation, display type or written explanation. They record what they changed and why. Invite two pairs to show a before-and-after improvement and explain how the revision makes the statistical message clearer.

7. 57–60 min · Exit reflection. Use the plenary and exit questions. Students submit a brief response: “The strongest evidence in my graph is ___ because ___”; “One revision I made was ___”; and “Next time I would check ___.” Close by connecting careful data communication with Kia Tuu, Kia Ora and Kia Maaori: standing confidently in our reasoning, supporting wellbeing, and respecting ourselves and others.

Resources

• Teacher-prepared class-data file in CSV format, with identifying information removed
• Student access to New Zealand Grapher on a suitable device
• Projector or interactive display
• the statistical inquiry and graph communication slide deck
• the statistical display and communication worksheet
• Pair-review protocol displayed or printed by the teacher
• Headphones or quiet workspace option for students who need reduced distraction

Assessment

• During modelling and planning, check whether students classify the variable correctly, select a suitable display, and understand the difference between describing a feature and making an unsupported claim.
• During pair explanations, listen for accurate references to values, comparisons, clusters, gaps, spread and unusual values. Confer with students who need prompting to connect evidence to a conclusion.
• Use the exit reflection to assess accurate interpretation, purposeful revision and awareness of data quality or limitations.

Differentiation

• Provide a small, cleaned data file and a step-by-step import checklist for students who need reduced working-memory demands. Pair students deliberately and assign rotating roles: data manager, graph designer, speaker and reviewer.
• Offer sentence frames such as “The graph shows…”, “The evidence is…”, “This may be because…”, and “A limitation is…”. Provide a feature word bank with visual examples and allow students to rehearse explanations orally before writing.
• For ADHD and other learning needs, chunk the task into visible stages, use a timer, give movement or device breaks between stages, and provide a low-distraction workspace. Accept typed, recorded or spoken explanations where appropriate.
• Extend confident students by asking them to compare two possible displays, justify which communicates more effectively, or discuss how sampling, variable definitions or an unusual value could affect the conclusion.