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YEAR 4 · STATISTICS · 12 MIN

Survey investigations

Plan, carry out and explain a small survey from question to conclusion.

In this lesson

Before you start
  • Collecting data
  • Choosing displays
01 / LEARN

Understand the idea.

Begin with a focused question

Begin a survey with a focused question and a clear group of people to ask. If you want to know your class’s preferred playground game, decide the game choices and how each class member can give one response.

Plan what to do if someone chooses none of the offered games or does not answer. Record only information needed for the question: preference counts usually do not need names or private details.

Report what the data can show

After collecting, check the responses and totals, then choose a clear display. Answer the original question using the largest count or another relevant comparison. State which group answered and which choices were offered.

A class survey describes its respondents; it cannot establish what every child in the school prefers. Mention missing responses or an uneven choice of people, and use that limitation to improve the next survey.

Practice survey:16 class responses
GameVotes
Chasey7
Skipping5
Handball4
02 / WORKED EXAMPLES

See the method in action.

EXAMPLE 01

A supported conclusion

A practice class survey records Chasey 7, Skipping 5 and Handball 4. Write a conclusion.

Worked solution

  1. 1

    Check the total number of responses.

    7+5+4=16

    The conclusion should state the group size represented by these counts.

  2. 2

    Compare the game counts.

    7>5>4

    Chasey has the greatest count among the three offered games.

  3. 3

    Write a conclusion limited to these responses.

    Chasey was the most popular of the three games among the 16 respondents; these data do not describe all children.

Answer

Chasey was the most popular of the three games among these 16 respondents.

EXAMPLE 02

A limitation

Only children playing football were asked which lunchtime sport is best. Explain a limitation.

Worked solution

  1. 1

    Compare the intended group with the people asked.

    The question concerns lunchtime sport preferences, but only children already playing football were included.

  2. 2

    Explain how that selection may affect the results.

    Football players may prefer football, while the views of children doing other activities are missing.

  3. 3

    Suggest asking the intended class group fairly.

    Including children across the class gives everyone in the target group an opportunity to respond.

Answer

The sample may favour football; ask the intended class group fairly.

03 / YOUR TURN

Try it yourself.

Check your understanding

What should you check before drawing a graph of a one-vote survey?

Show answer & reasoning

That every response is recorded once and the category total matches the valid responses.

Check that every valid response appears once and that the category counts add to the number of valid responses. Resolve duplicates or missing entries before graphing; the graph would otherwise repeat the recording error.

Keep practising

6 worksheet questions · 11 marks

Read the questions online
  1. Write a clear one-choice survey question about favourite classroom reading places.
    2 marks
  2. List the stages of a small survey in order.
    2 marks
  3. Use the supplied game table to find the total responses.
    1 mark
    Practice survey
    GameVotes
    Chasey7
    Skipping5
    Handball4
  4. For those game counts, how many more chose Chasey than Handball?
    1 mark
    Practice survey
    GameVotes
    Chasey7
    Skipping5
    Handball4
  5. Twenty classmates are asked, but only 18 answer. Should the report say 20 responses? Explain.
    2 marks
  6. Plan a small survey with a question, group, recording method and suitable display.
    3 marks
Read the worked solutions

Equivalent correct methods earn the corresponding marks. Include units where asked.

  1. Write a clear one-choice survey question about favourite classroom reading places.
    2 marks

    Equivalent clear questions with defined choices are valid.

    For example: “Which reading place do you prefer: a desk, the mat or a beanbag? Choose one.”
  2. List the stages of a small survey in order.
    2 marks

    Planning precedes collecting and conclusions follow the data.

    Question and plan; collect; check/organise; display; interpret/report.
  3. Use the supplied game table to find the total responses.
    1 mark
    Practice survey
    GameVotes
    Chasey7
    Skipping5
    Handball4

    7+5+4=16.

    16.
  4. For those game counts, how many more chose Chasey than Handball?
    1 mark
    Practice survey
    GameVotes
    Chasey7
    Skipping5
    Handball4

    7−4=3.

    3.
  5. Twenty classmates are asked, but only 18 answer. Should the report say 20 responses? Explain.
    2 marks

    People asked and valid responses are not always the same.

    No. Report 18 responses and note 2 missing answers.
  6. Plan a small survey with a question, group, recording method and suitable display.
    3 marks

    The group should match the question, categories should be clear, and totals should be checked.

    Many valid plans exist; for example favourite fruit, all classmates, one vote each in a tally table, then a column graph.
Checking saved progress…
Curriculum reference & lesson scope

Australian Curriculum v9 / SA Curriculum Mathematics 2026

Scaled pictographs/column graphs; data collection; suitable displays; distributions; survey investigations.

Official curriculum source ↗

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