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- Statistics — Module 3: Averages from frequency & grouped tables
Statistics — Module 3: Averages from frequency & grouped tables
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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
For parents and carers
For teachers and tutors
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.
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.
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.
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.
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.
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.