Collecting and Categorising Data

Overview

In this lesson, learners collect and organise class data using a fair, inclusive survey. They practise tallying in fives, grouping responses into non-overlapping categories, checking that totals equal the number surveyed, and identifying what the data does—and does not—tell us.

Learning intentions

• WALT collect data fairly and respectfully.
• WALT organise responses into clear, non-overlapping categories.
• WALT record frequencies using tally marks in groups of five.
• WALT check and describe what our data shows.

Success criteria

• I can ask one clear survey question and collect one response from each person.
• I can use tally marks in groups of five and write accurate totals.
• I can make sure every response fits one category and that the total is 25.
• I can identify the most common category and explain one limitation of the survey.

Curriculum links

• Mathematics and Statistics — collecting, organising and interpreting data.
• Mathematics and Statistics — using mathematical representations and explaining reasoning.
• Mathsteasers — higher-order thinking questions that deepen understanding for advanced learners.
• Mathsteasers / Alignment — connecting challenge questions with relevant mathematical content.

Lesson structure (60 minutes)

1. 0–7 min · Hook and purpose. Teacher displays the question, “What is our class’s favourite way to spend free time?” using the opening survey question slide, and discusses why everyone should have a safe way to respond, including choosing “prefer not to say”. Students think privately, then suggest what would make the survey fair and respectful.

2. 7–15 min · Model fair data collection. Teacher uses the fair-survey teaching slides to model one question, one response per person, voluntary participation and private response options; explain that names are not recorded. Students compare a fair survey with an unfair example, such as asking only the teacher’s friends, and identify one difference.

3. 15–25 min · Choose categories and predict. Teacher introduces the categories reading, sport, art, music and other, explaining that categories must not overlap: each response belongs in one category only. Display the example class data—reading 9, sport 6, art 5, music 3, other 2—on the category and example-data slides. Students predict which category may be most common and explain why “other” is useful.

4. 25–40 min · Conduct the class survey. Teacher gives each learner a private response option and records the agreed categories where all can see; use counters, sticky notes or a digital form to collect exactly one response from each of the 25 learners. Students respond voluntarily and privately, then help place responses into the correct category without names being attached.

5. 40–52 min · Tally, total and interpret. Teacher distributes the data collection and tally worksheet and models crossing off or sorting each response once before recording tally marks in groups of five. Students complete the tally and frequency table, check that all category frequencies add to 25, identify the most common category, and answer the “Try” question about one limitation of the survey.

6. 52–60 min · Share and exit check. Teacher returns to the discussion and plenary slides and facilitates a brief discussion: “What can we conclude?” and “What can’t we conclude?” Students share evidence using their totals, then complete the final three prompts on the reflection and exit questions: total surveyed, most common category, and one limitation.

Resources

• the class survey slide deck
• the data collection and tally worksheet
• Private response cards or slips
• Counters, sticky notes or a digital form
• Whiteboard and markers
• Category labels: reading, sport, art, music, other
• Pencils and erasers

Assessment

• Observe whether each learner gives one voluntary response and whether categories are applied consistently without identifying individuals.
• Check tally marks for groups of five, accurate frequencies, and the total of 25. Confer with learners who double-count, miss responses or place one response in two categories.
• Use the exit questions to assess whether learners can identify the mode (most common category) and recognise a limitation, such as the small sample, the limited category choices or the possibility that people changed their answer.

Differentiation

• Support learners with a worked tally example, visible category labels, counters to match each response, and the sentence starters: “The most common category is ___ because ___” and “One limitation is ___.”
• Pair learners strategically so one learner can sort while the other records, then swap roles. Provide a pre-drawn table on the worksheet and read instructions aloud.
• For EAL learners, use picture cues alongside category words and rehearse “I choose ___” and “There are ___ responses” before the survey.
• Challenge confident learners to suggest a fairer follow-up question, explain why the categories are non-overlapping, or compare the class result with the example data and identify a possible reason for the difference.