AC9M3ST03: Conduct guided statistical investigations involving the collection, representation and interpretation of data for categorical and discrete numerical variables with respect to questions of interest

A statistical investigation begins with a question and uses collected data to form evidence-based conclusions while recognising variation.

Learning routine: Question → Plan → Collect → Represent → Interpret → Report

Success looks like

• Ask statistical questions
• Plan data collection
• Represent data
• Interpret variation
• Report conclusions

Success criteria:

• Ask statistical questions
• Plan data collection
• Represent data
• Interpret variation
• Report conclusions

Students should be able to sort information into categories, read simple tables or displays and compare counts. Revisit what each label, category and scale represents before analysing a data display.

Key idea: A statistical investigation begins with a question and uses collected data to form evidence-based conclusions while recognising variation.

Learning routine: Question → Plan → Collect → Represent → Interpret → Report

statistical investigation

a process of asking, collecting, displaying and interpreting data

question of interest

the focused question an investigation answers

conclusion

a statement supported by the collected data

What is the big idea in this topic?

A statistical investigation begins with a question and uses collected data to form evidence-based conclusions while recognising variation.

What routine should I use?

Question → Plan → Collect → Represent → Interpret → Report

How do I know I am ready to move on?

You can ask statistical questions, plan data collection, represent data, interpret variation, report conclusions and explain how your model or calculation supports the answer.

• Question and data mismatch — Collect data that directly answers the question.
• Conclusion without evidence — Quote frequencies or comparisons.
• Claiming cause — A small descriptive investigation may show association, not cause.

1. What is the first stage of a statistical investigation?

   • ask a clear question
   • draw any graph
   • write a conclusion first
   • choose the favourite answer

2. Complete the cycle.

   Prompt: Question → collect → organise → display → □ → report

3. Which conclusion uses evidence?

   • Bus was most common with 8 responses
   • Bus is always best
   • Everyone must use a bus
   • The graph looks nice

4. Write a statistical question about a countable Year 3 classroom variable.

5. Match the stage to the action.

   Match: collect • represent • interpret ↔ look for patterns • record responses • create a table or graph

6. Complete the evidence sentence.

   Prompt: The category with 8 responses had □ more than the category with 5.

1. Plan a complete statistical investigation, including question, variable, collection method, display and conclusion format.

2. Compare two possible conclusions from one graph and decide which is better supported by evidence.

Explain the reasoning, not only the final answer.

1. Explain how variation can appear in repeated class survey results.

2. A student collects favourite fruit data to answer 'How many books are read?' Explain the mismatch.

Review hint: Follow the routine “Question → Plan → Collect → Represent → Interpret → Report” and use the worked model to check whether your answer is reasonable.

• I can ask statistical questions.
• I can plan data collection.
• I can represent data.
• I can interpret variation.
• I can report conclusions.

Quick check: Write a statistical question. • Name the investigation stages. • Use data as evidence.

Read the topic guide and use the teacher slide for instruction. Students can then use the worksheet for written work, open Practice for supported feedback, or take the Test when they are ready.

Use reliable, community-approved sources and identify the specific Nation, People or community where the source does. Do not present diverse First Nations knowledges as one generic tradition. Follow local cultural and intellectual property protocols before reproducing cultural material or inviting community participation.

The content description and elaborations below show the curriculum ideas taught in this unit. Items marked as teaching context support lesson planning.

• Content description: conduct guided statistical investigations involving the collection, representation and interpretation of data for categorical and discrete numerical variables with respect to questions of interest
• E1: creating a poster, flowchart or infographic that describes the process of statistical investigation, and the components, the tools and the types of data that can be collected, represented and interpreted for a purpose
• E2: collaboratively working through a whole class investigation by choosing a question of interest, using an efficient collection method and recording collected data; interpreting the data in terms of the question
• E3: planning and carrying out investigations that involve collecting data; for example, narrowing the focus of a question such as, “Which is the most popular breakfast cereal?” to “Which is the most popular breakfast cereal among Year 3 students in our class?”
• E4: conducting a whole class statistical investigation into the best day to hold an open day for parents by creating a simple survey; collecting the data by asking the parents, representing and interpreting the results, and deciding as a class which day would be best
• E5: investigating seasonal calendars of First Nations Australians by collecting data and creating frequency tables and spreadsheets based on environmental indicators; creating one-to-one data displays about frequency of environmental indicators for the current season (teaching context)

Australian, Victorian and NSW alignment retained from the previous page

• Australian Curriculum Version 9.0 — ACARA
• Victorian Curriculum — VCAA
• NSW Curriculum — NESA

Official curriculum sites are the source of record.

• AC9M3ST02 — Creating and Comparing Data Displays
• All Year 3 Mathematics topics

Curriculum equivalents for Conduct guided statistical investigations involving the collection, representation and interpretation...

Mapped skill: conduct guided statistical investigations involving the collection, representation and interpretation of data for categorical and discrete numerical variables with respect to questions of interest

These references identify matching or closely related learning. Curriculum sequence, terminology and depth vary, so teachers should use the mapped skill and lesson difficulty to confirm suitability.

Australian Curriculum v9.0 is the canonical source for this SkillrHub lesson. Victoria and NSW entries name the closest published state codes or outcomes; international entries are planning references rather than claims of identical curricula.