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E-Learning ModulePaid subscriptionIncludes a check

Statistics — Module 3: Averages from frequency & grouped tables

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Key stage
GCSE
Subject
Mathematics
Time
~20 min
Access
Paid subscription
Assessment
Included
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Complete these first

This module unlocks once you have completed:

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What you'll learn

  • Averages from frequency & grouped tables AQA GCSE 8300 §3.6 / S4
  • Statistics

Inside this resource

  • 4 slides

For the student — how to do this

Work through the teaching and activities, then take the check. Score 80% to earn the badge and unlock the next module — you can retake any time.

For parents and carers

Each module unlocks the next only when your child passes at 80%. A pass meets the threshold for this check. Use discussion and further practice to identify what needs revisiting.

For teachers and tutors

Gated revision sequence mapped to AQA 8300 §3.6 Statistics. Pass mark 80%; results and per-question review feed the heatmap.

How to check the work

Ask the learner to show or explain one idea, then try a fresh example with suitable support. Note any prompts needed; retelling alone does not show secure understanding.

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How to study with Statistics — Module 3: Averages from frequency & grouped tables

This parent guide links the page examples with a structured study routine. The present resource is labelled Mathematics, GCSE, Year 10, Year 11, E-Learning Module. Use that setting, the learning summary and published prompts to clarify what successful work should show.

Prepare a focused session

Read the title and learning focus side by side. Ask the learner to recognise the ideas, vocabulary or strategy they may need. Scan each sample and recognise command words, amounts, signals, conditions or less familiar terms. Agree a realistic time window, reduce interruptions and gather useful equipment such as paper, pencil, ruler, coloured pens, calculator, headphones or a device. Encourage an self-directed opening attempt so the response shows sound understanding and doubt. A reflective pause often strengthens remembering better than an instant answer.

Make thinking visible

Invite the learner to describe the task in their own words. They can underline necessary information, divide a larger problem into individual steps, sketch a demonstrate, arrange support, rehearse a sentence or describe a planned method. Ask why their approach fits and whether another strategy could work. When progress stops, offer a staged hint: rephrase the goal, point towards a relevant example, narrow the choice, then demonstrate only the next step. Return control directly afterwards. Spoken reasoning exposes confusions and practises precise subject language.

Check accuracy and understanding

Compare the attempt with visible answer guidance after sustained effort. Inspect more than the final response: review the method, explanation, units, support, sequence, spelling or presentation where relevant. Ask the learner to identify the opening point where their reasoning changed path. Complete corrections actively in a different colour or fresh space, followed by a brief account of the improvement. For a correct answer, ask for justification and one self-directed check. This distinguishes secure ideas from guessing while developing accuracy, reflection and careful working habits.

Consolidate and extend

Finish with retrieval from memory. Cover the example and ask for the main idea, process or fact again. Create one small adaptation by adjusting a value, condition, example, viewpoint or level of support while keeping the learning focus. Invite the learner to write a similar question and supply checking guidance. Record one success and one precise next step, perhaps revisiting terminology, rehearsing a calculation, adding support or developing clarity. Recheck that target again in the week because spaced review gives better information than instant repetition.

The interactive player, downloadable file and note answer material retain their existing access controls. The guide strengthens preparation, discussion and review.

Sample questions and answers

Try five questions from this exact activity. Review each authored answer and explanation, then note which ideas need another look. Compare the options and explain why the answer fits. Say the reasoning aloud or write a short justification before opening the interactive player to complete the activity and save progress.

  1. In a frequency table, the mode is the value with the…

    • highest frequency
    • lowest frequency
    • middle position
    • largest total

    Sample answer: highest frequency

    Explanation: The mode is the value that occurs most often — the highest frequency.

  2. For a frequency table, the mean equals Σfx divided by…

    • the number of rows
    • Σf (the total frequency)
    • the largest frequency
    • 360

    Sample answer: Σf (the total frequency)

    Explanation: Mean = Σfx ÷ Σf, the total of (value × frequency) over the total frequency.

  3. A table has values 1, 2, 3 with frequencies 4, 5, 1. What is the mode?

    • 1
    • 2
    • 3
    • 5

    Sample answer: 2

    Explanation: The value 2 has the highest frequency (5), so the mode is 2.

  4. Values 0, 1, 2, 3 have frequencies 2, 3, 4, 1 (total 10). Find the mean.

    • 1.2
    • 1.4
    • 1.6
    • 2

    Sample answer: 1.4

    Explanation: Σfx = 0 + 3 + 8 + 3 = 14; 14 ÷ 10 = 1.4.

  5. Values 1, 2, 3 have frequencies 3, 4, 2 (total 9). Find the median.

    • 1
    • 2
    • 3
    • 4

    Sample answer: 2

    Explanation: The 5th value (of 9) falls in value 2, so the median is 2.

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