Mathematics
Intermediate
39 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen
response cards

Posing Statistical Questions and Collecting Data

Learn what makes a statistical question worth asking a group of people, draft your own survey questions, and collect raw responses from a class survey.

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    1 - Getting Started ~4 mins

    Here are two questions. How tall am I? and How tall is everyone in our class?

    One of these is worth surveying the whole class about. The other you could answer with a single measurement. Which is which, and what makes a question worth asking lots of people?

    2 - Watch and Notice ~8 mins

    Illustration for Watch and NoticeLet's sort some questions together. A statistical question is one that expects lots of different answers when you ask a group of people. A question with just one fixed answer is not worth surveying.

    Key point

    Look at each of these four and decide: would the answers vary from person to person, or would everyone give the same answer?

    • What is your shoe size?
    • What colour is the sky?
    • How many minutes do you spend on homework each night?
    • What is 7 times 8?

    3 - Try It Together ~10 mins

    Let's try this in your groups. Draft one statistical question you could survey the class with, then agree what kind of answers you'd expect to get back, and whether they'd really vary.

    Key point

    Write your draft on your group's paper first. Then we'll share each group's question at the board and refine the wording together so it is clear and gives a good spread of answers.

    4 - Write Three Questions in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, write three statistical questions you could survey the class with. Beside each one, note what kind of answers you would expect to get back.

    For example, beside What is your favourite sport? you might write a spread of sport names; beside How many minutes do you read at home? you might write a range of numbers.

    5 - Class Challenge ~8 mins

    Now let's run our agreed class question together. Our class question is the one we agreed on at the end of the discussion, written at the top of the board now.

    Each of you writes your answer on a response card. As the cards come up, the recorder reads them out and writes each one into a list on the board, in the order they are read. This complete, unsorted list is our raw data: every answer written exactly as given, before any sorting or counting.

    Note

    We'll gather answers row by row, so we may only get through part of the class today — that's fine. Watch for any response that doesn't actually fit the question, and if you spot one, explain why it doesn't belong.

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    What did you notice about our survey? Did our question give a good spread of answers, or did most people say the same thing? If we asked a vague question, what kind of mess might we end up with in our list?

    7 - What's Next ~3 mins

    Today we learned

    • A statistical question expects lots of different answers across a group, not one fixed fact.
    • A good question can be reworded to give a wider spread of answers.
    • Raw data is the full list of responses, recorded exactly as people give them.

    Coming up

    Next we take a raw list like the one we built today and start to organise it — sorting wide-spread values into equal groups so the mess becomes a tidy table.

    Pupil practice
    Module 9 · Data and Chance Mixed
    Lesson 92 · Posing Statistical Questions and Collecting Data
    Download Activity Book page (PDF)
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