AC9M4ST02 • Year 4 Maths
analyse the effectiveness of different displays or visualisations in illustrating and comparing data distributions, then discuss the shape of distributions and the variation in the data
A distribution describes how values are spread and concentrated. Different displays highlight different features, so effectiveness depends on the question, scale, audience and accuracy.
Learning routine: Identify question → Read scale/key → Describe concentration/gaps/extremes → Compare variation → Evaluate display → Support with data
Most values cluster from 5 to 8, there is a gap from 10 to 11 and 12 is a high extreme. Describe evidence rather than calling the graph simply 'spread out'.
Two groups may have similar typical values but different variation. Use range, clusters, gaps and extremes as Year 4 evidence without overclaiming.
Transfer the relationship to the new situation and justify the result using precise vocabulary and evidence.
Learning intention: Compare displays, describe concentration, gaps and spread, and judge what the data can support.
Year 4 boundary: Use counts, categories, clear scales, informal shape and variation. Formal averages, median calculations and causal claims are not required.
Use the invented fruit graph below. “How many chose Banana?” is answered by 10; “How many more than Pear?” by 10−4=6. “Why did each student choose that fruit?” cannot be answered because reasons were not collected. Students write and answer their own count or comparison question and identify one unanswered question.
A media-style key says one circle represents 8 visitors. One and a half circles means 12 and two and a half means 20. The difference is 8, not one visitor. Use equal-sized repeated symbols; doubling both width and height quadruples picture area and may exaggerate a twofold count. Check the key, title, period and group before comparing.
For whole-number counts 1,2,2,3,3,3,6, make a frequency table and a dot plot with every position 1–6 marked. Frequencies are 1:1,2:2,3:3,4:0,5:0,6:1. Six observations cluster from 1 to 3, with gaps at 4 and 5 and one separated high value 6. The table gives exact counts directly; the dot plot makes gaps and repeated values visible. Compare A3,3,4,4,5,5 with B1,2,4,4,7,8: B varies more because it extends 1–8 rather than 3–5. No mean or median calculation is required.
A developer’s invented training-data counts Dogs 20, Cats 3, Birds 0 show uneven coverage. A graph reveals the absent bird category and few cat examples. Check labels and collection records, then seek suitable missing examples before claiming broad coverage. A lone entry 90 among pet counts 0–3 should be checked against its source, not automatically deleted. Distribution checks reveal possible data problems; they do not prove an AI system will be accurate.
Support: Organise a small dataset together and check each entry once. Core: Create and interpret the required digital display. Extend: Compare representations and explain a limitation using the same Year 4 ideas.
Does the largest category always mean more than half? No: a largest count of 8 in 20 is less than half. Does a graph establish why something happened? No: it shows recorded patterns unless additional evidence supports a cause.
Represent counts 1, 2, 2, 3, 3, 3, 6 in a table and dot plot. Describe a concentration and gap, then explain which display helps see them. Answer: six values lie from 1 to 3; positions 4 and 5 have no observations. The dot plot makes the gap visible while the table gives exact frequencies. Check that all seven observations are represented.
Show two representations of your dataset. Describe its concentration, any gaps or absence of gaps, and variation using actual values. Explain which representation helps answer your question and why. An adult checks the records, both displays and the evidence-based comparison.
The content description and elaborations below show the curriculum ideas taught in this unit. Items marked as teaching context support lesson planning.
Annotate a dot plot with clusters, gaps, common values, range and possible extremes.
Compare a table, pictograph and graph for the same data using accuracy, readability and purpose criteria.
Examine two graphs with different vertical scales and explain how appearance can change while data remains the same.
Core idea: A distribution describes how values are spread and concentrated. Different displays highlight different features, so effectiveness depends on the question, scale, audience and accuracy.
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.
Teacher resource
Open this fixed classroom slide deck to introduce the key idea, vocabulary and teaching sequence before students begin the activities.
Open Classroom ViewThis table gives closest-topic mapping for search and planning. The Australian Curriculum code is exact; overseas entries are broad equivalents because each jurisdiction structures outcomes differently.
| Region | Curriculum | Closest mapping |
|---|---|---|
| Australia | Australian Curriculum v9.0 | AC9M4ST02 — analyse the effectiveness of different displays or visualisations in illustrating and comparing data distributions, then discuss the shape of distributions and the variation in the data |
| Victoria | Victorian Curriculum F-10 | Year 4 Maths: closest match in Statistics. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 2 Maths: closest content focus for Analyse the effectiveness of different displays or visualisations in illustrating and comparing data distributions, then discuss the shape of distributions and the variation in the data and related outcomes. |
| United States | Common Core / NGSS | Grade 4 Common Core Mathematics/ELA closest topic match for Analyse the effectiveness of different displays or visualisations in illustrating and comparing data distributions, then discuss the shape of distributions and the variation in the data. |
| England / UK | National Curriculum | Key Stage 2 / Year 4: closest programme-of-study match for Analyse the effectiveness of different displays or visualisations in illustrating and comparing data distributions, then discuss the shape of distributions and the variation in the data. |
| Canada | Provincial and territory curricula | Grade 4 closest topic match. Canada varies by province, so use this as a broad Ontario/BC-style learning outcome reference. |
| New Zealand | New Zealand Curriculum | Level 2 Maths: closest achievement-objective topic for Analyse the effectiveness of different displays or visualisations in illustrating and comparing data distributions, then discuss the shape of distributions and the variation in the data. |
| India | NCERT / CBSE | Class 4 closest NCERT/CBSE topic match for Analyse the effectiveness of different displays or visualisations in illustrating and comparing data distributions, then discuss the shape of distributions and the variation in the data. |
The SkillrHub lesson remains the primary learning resource. This optional video reinforces the explanation; you can complete the lesson and practice without watching.
Before you watch:
Math Antics — Compare how different graph forms show information.
As you watch: Which features make a comparison between categories easy to see?
Load video player Loads YouTube in this lesson. See the video notice below.
Try it: Show the same small dataset as a pictograph and a column graph. Explain which is clearer for your question.
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Mapped skill: analyse the effectiveness of different displays or visualisations in illustrating and comparing data distributions, then discuss the shape of distributions and the variation in the data
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.
| Region | Curriculum framework | Closest level or code |
|---|---|---|
| Australia | Australian Curriculum v9.0 | AC9M4ST02 · Year 4 |
| Victoria | Victorian Curriculum F–10 Version 2.0 — Mathematics | VC2M4ST02 · Level 4 |
| New South Wales | NSW Mathematics K–10 Syllabus (2022) | MA2-DATA-02 · Stage 2 |
| United States (USA) | Common Core State Standards for Mathematics | Grade 4 |
| Canada (Ontario) | Ontario Curriculum — Mathematics | Grade 4 |
| United Kingdom (England) | National Curriculum in England — Mathematics | Year 5, Key Stage 2 |
| India | NCERT / CBSE — Mathematics | Class 4 |
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.
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Topic reference: AC9M4ST02 — AC9M4ST02: Analyse the effectiveness of different displays or visualisations in illustrating and comparing data distributions, then discuss the shape of distributions and the variation in the data
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