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Year 3 · Statistics · 12 min

Guided question-to-conclusion investigation

Follow a small investigation from a clear question to an honest conclusion.

01 / LEARN

The idea, step by step

Question, plan and collect

Choose a question that collecting data can answer. “How did children in our class travel to school today?” names a group and a time. Agree that each child records one main way.

Prepare a table and ask each child in the chosen group once. If someone is absent, report that instead of inventing an answer.

Display and explain

Check the total, create a labelled display and answer the original question with numbers. Identify the largest count and a useful comparison.

Consider a limit. Rain or family plans might change travel on another day. A careful conclusion describes this group today without claiming the result is always true.

Sample data: How 12 children travelled to school today
WayChildren
Walk4
Car6
Bus2

A common trap

A conclusion should report what we hoped would happen.

Instead: Use the real data, even if the result surprises you.

02 / WORKED EXAMPLES

See the thinking

Example 1

Use the data

Use the travel table to write a conclusion for these 12 children.

  1. 4 + 6 + 2 = 12, so the counts agree with the group size.
  2. Car has the largest count, 6.
  3. 6 − 2 = 4 more came by car than bus.
Car was most common in this group today. Four more came by car than by bus.
Example 2

Improve a plan

Ari wants the class’s favourite lunchtime activity but asks only two friends who like soccer. How can the plan improve?

  1. The question is about the whole class.
  2. Two soccer-playing friends may not represent others.
  3. Ask each child once with the same choices and an Other choice if needed.
Survey the chosen class fairly and record every answer once.

Check your understanding

Why should a survey name the group it asks?

Show answer

So we know whose answers the conclusion describes.

A class survey does not automatically describe every school.

03 / WORKSHEET

Your turn

6 questions · Work at your own pace.

Read the questions online
  1. Which is clearer: “Travel?” or “How did children in Room 3 travel to school today?” Explain.
  2. A class has 20 children, but 2 are absent. How many responses can a one-answer survey collect from children present?
  3. Give two useful column headings for a favourite-fruit table.
  4. Check the travel table total and name its most common way.
    Sample data: How 12 children travelled to school today
    WayChildren
    Walk4
    Car6
    Bus2
  5. Use the travel table to compare walking with bus travel.
    Sample data: How 12 children travelled to school today
    WayChildren
    Walk4
    Car6
    Bus2
  6. Give one reason travel results on Monday might differ from Friday.
Read the worked solutions
  1. Which is clearer: “Travel?” or “How did children in Room 3 travel to school today?” Explain.

    Clear wording helps people give the same kind of answer.

    The second question: it names the question, group and time.
  2. A class has 20 children, but 2 are absent. How many responses can a one-answer survey collect from children present?

    20 − 2 = 18. Do not invent absent children’s answers.

    18 responses.
  3. Give two useful column headings for a favourite-fruit table.

    One names the category; one records its frequency.

    For example, Fruit and Number of children.
  4. Check the travel table total and name its most common way.
    Sample data: How 12 children travelled to school today
    WayChildren
    Walk4
    Car6
    Bus2

    4 + 6 + 2 = 12.

    6 is the largest count.

    12 children; car.
  5. Use the travel table to compare walking with bus travel.
    Sample data: How 12 children travelled to school today
    WayChildren
    Walk4
    Car6
    Bus2

    Use the actual counts to support the statement.

    Two more walked than used the bus: 4 compared with 2. Twice as many is also correct.
  6. Give one reason travel results on Monday might differ from Friday.

    The reason should explain how a child’s answer could change.

    For example, different weather, family plans, absences or activities.
Checking saved progress…

Ready to review?

Review the ideas and revisit any lesson you want to practise.

Topic review
Curriculum reference & lesson scope

Australian Curriculum v9 / South Australian Curriculum

Categorical/count data; recording; displays; comparisons; guided question-to-conclusion investigation.

Official curriculum source ↗
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