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GCSE Statistics — Cumulative frequency, box plots & histograms — Quiz Game

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Resource guide

Key stage

GCSE

Subject

Statistics

Time

~45 min

Access

Paid subscription

Assessment

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About this resource and curriculum

Study guidance and sample questions

Get the most from this

Try the quiz. Read or listen to each question, take your time and choose your answer. Look at the feedback when you finish, and ask for help with a tricky idea.

This quiz offers short practice. Read or listen to questions with a younger learner where helpful, but give them time to think.

When an attempt is recorded, the dashboard may show its score and time. It does not store a per-question list of mistakes; discuss the on-screen feedback together.

Use this quiz for practice or a check-in. For GCSE, check the relevant DfE subject content and the awarding body's current specification before using this as assessment evidence.

A recorded attempt can show score and time, not a saved list of individual mistakes. Review responses with the learner before choosing a next step.

Use any on-screen review after the quiz to discuss one response and a next step. A saved score or time is not a saved mistake-by-mistake report.

Three questions from this quiz

These samples and answers come from this exact quiz. The interactive player keeps its existing scoring and access rules.

Question: Use the cumulative frequency curve to estimate the median (60 pupils in total). Options: About 24; About 12; About 40; About 60.
Answer guidance: Correct answer: About 24. The median is the 30th value (halfway up). Reading across at cf = 30 gives about 24.
Question: Which class interval has the highest frequency density? Options: 15–20; 0–10; 20–30; 30–50.
Answer guidance: Correct answer: 15–20. Frequency density = frequency / class width. The 15–20 class (width 5, frequency 40) has density 8 — the tallest bar.
Question: In a histogram, frequency density = frequency / … Options: Class width; Total frequency; The mean; The range.
Answer guidance: Correct answer: Class width. Dividing by the class width lets unequal-width bars be compared fairly; area then represents frequency.

How to study with GCSE Statistics — Cumulative frequency, box plots & histograms — Quiz Game

This parent guide relates the page examples with a practical study routine. The listed resource is labelled Statistics, GCSE, Year 10, Year 11, Quiz. Use that setting, the learning summary and published prompts to decide what effective work should reveal.

Prepare a focused session

Read the title and learning focus side by side. Ask the learner to anticipate the ideas, vocabulary or method they may need. Scan each sample and spot action words, values, clues, constraints or unfamiliar terms. Agree a realistic time window, remove interruptions and collect useful equipment such as paper, pencil, ruler, coloured pens, calculator, headphones or a device. Encourage an independent initial attempt so the attempt shows firm understanding and doubt. A quiet pause often strengthens recall better than an instant answer.

Make thinking visible

Invite the learner to summarise the task in their own words. They can underline necessary information, divide a larger problem into shorter steps, draw a representation, sort evidence, rehearse a sentence or describe a planned method. Ask why their approach fits and whether another strategy could work. When movement stops, provide a graduated hint: state again the goal, point towards a related example, narrow the choice, then demonstrate only the next step. Return ownership directly afterwards. Spoken reasoning highlights mistakes and practises accurate subject language.

Check accuracy and understanding

Compare the attempt with visible answer guidance after sustained effort. Inspect more than the final attempt: review the method, explanation, units, evidence, sequence, spelling or presentation where related. Ask the learner to find the initial point where their reasoning changed path. Complete corrections actively in a different colour or new space, followed by a short note of the correction. For a correct answer, request reasoning and one independent check. This distinguishes confident 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 central idea, process or fact again. Create one small alternative by altering 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, rehearsing a calculation, adding evidence or improving clarity. Recheck that target later in the week because spaced review gives clearer information than instant repetition.

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

Sample questions

Try these questions before opening the interactive quiz. Answers and feedback remain inside the quiz.

Use the cumulative frequency curve to estimate the median (60 pupils in total).
Which class interval has the highest frequency density?
In a histogram, frequency density = frequency / …
From the box plot, what is the median?
In a histogram with unequal class widths, the frequency of a class is represented by the bar’s…

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