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- Statistics — Module 6: Cumulative frequency, box plots & histograms
Statistics — Module 6: Cumulative frequency, box plots & histograms
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What you'll learn
- Cumulative frequency, box plots & histograms AQA GCSE 8300 §3.6 / S3, 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 6: Cumulative frequency, box plots & histograms
This parent guide connects the page examples with a practical study routine. The listed resource is labelled Mathematics, GCSE, Year 10, Year 11, E-Learning Module. Use that context, the learning summary and published prompts to decide what successful work should demonstrate.
Prepare a focused session
Read the title and learning focus together. Ask the learner to spot the ideas, vocabulary or method they may need. Scan each sample and spot action words, values, signals, limits or new terms. Agree a focused time window, remove distractions and collect suitable tools such as paper, pencil, ruler, coloured pens, calculator, headphones or a device. Encourage an self-directed opening attempt so the work reveals firm understanding and gaps. A reflective pause often aids recall better than an immediate answer.
Make thinking published
Invite the learner to restate the task in their own words. They can underline necessary information, separate a extended problem into shorter steps, create a representation, arrange support, compose a sentence or describe a planned method. Ask why their route fits and whether another method could work. When work stops, offer a staged hint: rephrase the goal, point towards a useful example, reduce the choice, then show only the next step. Return control straight afterwards. Spoken reasoning exposes misconceptions and practises correct subject language.
Check accuracy and understanding
Compare the attempt with published answer guidance after genuine effort. Inspect more than the final work: review the method, explanation, units, support, sequence, spelling or presentation where useful. Ask the learner to locate the opening point where their reasoning changed course. Complete corrections actively in a different colour or new space, followed by a short description of the correction. For a correct answer, request support and one self-directed check. This differentiates secure ideas from guessing while strengthening 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 changing a value, condition, example, viewpoint or level of support while keeping the learning focus. Invite the learner to write a comparable question and supply checking guidance. Record one success and one clear next step, perhaps reviewing terminology, repeating a calculation, adding support or developing clarity. Recheck that target afterwards in the week because spaced review gives stronger information than immediate repetition.
The interactive player, downloadable file and make answer material retain their existing access controls. The guide aids 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.
The interquartile range (IQR) equals the upper quartile minus the…
- median
- lower quartile
- minimum
- mean
Sample answer: lower quartile
Explanation: IQR = upper quartile − lower quartile.
On a box plot, the line inside the box shows the…
- mean
- median
- range
- mode
Sample answer: median
Explanation: The middle line of a box plot marks the median.
A box plot has minimum 4, lower quartile 7, median 10, upper quartile 15 and maximum 20. Find the range.
- 8
- 11
- 15
- 16
Sample answer: 16
Explanation: Range = maximum − minimum = 20 − 4 = 16.
For the box plot with lower quartile 7 and upper quartile 15, find the interquartile range.
- 7
- 8
- 11
- 15
Sample answer: 8
Explanation: IQR = 15 − 7 = 8.
On a cumulative frequency graph, the cumulative frequency of the last class equals the…
- median
- total frequency
- class width
- lower quartile
Sample answer: total frequency
Explanation: Cumulative frequency builds up to the total of all frequencies.