Key Stage 3 — Representing and Interpreting Statistical Diagrams — scheme of work

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This Key Stage 3 Representing and Interpreting Statistical Diagrams scheme of work is designed for Year 8 work on bar charts for continuous data, line graphs, pie charts and scatter graphs, including interpretation, comparison and real-life contexts such as population pyramids and correlation.

Use this page to sequence the lessons below, keep statistical vocabulary precise, and connect diagram construction to inference about distributions, trends over time and relationships between variables.

Last updated: May 2026

For more schemes and topic routes across KS3, GCSE and A-Level, browse the Mr Mathematics Curriculum Hub.

How to use this scheme

Read the prerequisite and key-concept cards first so mean, pie charts and earlier graphical work are secure. Teach the lessons in the order listed unless your timetable requires otherwise—keep continuous bar charts and line graphs before pie charts and scatter graphs so students build from univariate display to comparison and bivariate correlation.

Mr Mathematics membership

Presentations, worksheets, question generators and video tutorials for the lessons in this unit are available to members. Explore Mr Mathematics membership if you need full access to the library and schemes of work.

If you are comparing options for a department, the membership page sets out exactly what is included so you can align this unit with your wider KS3 statistics and data-handling plan.

Prerequisite knowledge

Students should be secure with the following before this unit.

  • Describe, interpret and compare observed distributions of a single variable through: appropriate graphical representation involving discrete, continuous and grouped data; and appropriate measures of central tendency (mean, mode, median) and spread (range, consideration of outliers).
  • Interpret and construct pie charts and line graphs and use these to solve problems.
  • Calculate and interpret the mean as an average.

Key concepts

Ideas to keep explicit while students represent and interpret statistical diagrams.

  • A pie chart displays data when you want to show how something is shared or distributed.
  • The angles at the centre of a pie chart have a sum of 360°. The angles are used to represent the frequency or proportion.
  • To compare data sets using pie charts use the angles to compare the proportions and frequencies to compare the area.
  • Continuous data can be arranged into a frequency table. Class intervals should use inequality notation to ensure they do not overlap.
  • A frequency polygon joins the midpoints of the top of the bars with a straight line.
  • Scatter graphs show the correlation between two variables. If there is a reasonable correlation a line of best fit can be drawn. There should be approximately the same number of points on each side of the line of best fit.

Subject content (Statistics)

  • Construct and interpret appropriate tables, charts, and diagrams, including frequency tables, bar charts, pie charts, and pictograms for categorical data, and vertical line (or bar) charts for ungrouped and grouped numerical data.
  • Describe simple mathematical relationships between two variables (bivariate data) in observational and experimental contexts and illustrate using scatter graphs.

Working mathematically

How this unit supports fluency, reasoning and problem solving in Key Stage 3.

  • Develop fluency
    • Use language and properties precisely to analyse statistics.
  • Reason mathematically
    • Explore what can and cannot be inferred in statistical and probabilistic settings, and begin to express their arguments formally.
  • Solve problems
    • Begin to model situations mathematically and express the results using a range of formal mathematical representations.
    • Select appropriate concepts, methods and techniques to apply to unfamiliar and non-routine problems.

Common misconceptions

Typical slips to address during teaching and marking.

  • Comparing pie charts by sector area alone without using angles for proportion or recalculating frequencies when totals differ.
  • Pie-chart angles that do not sum to 360° or are read as frequencies without linking back to the data table.
  • Overlapping or ambiguous class intervals for continuous data when building frequency tables and bar charts.
  • Joining bar corners instead of midpoints when drawing a frequency polygon.
  • Treating correlation on a scatter graph as proof of causation, or drawing a line of best fit when correlation is weak or absent.

Frequently asked questions

How do I use this scheme page in practice?

Use it to sequence teaching, align vocabulary and spot likely errors before they become habits. Then use the lessons below as the delivery route for the unit.

What should students already know before this unit?

They need confident work with means, earlier pie charts and line graphs, and describing single-variable distributions so new work focuses on continuous data, comparison and bivariate scatter graphs rather than basic table reading.

Where are the lesson presentations and worksheets?

Each lesson listed below has its own page with downloadable resources and, where available, online tasks. Access depends on your membership level.

Can I change the order of the lessons?

Yes if your timetable requires it—keep univariate charts (continuous bar charts and line graphs) before pie-chart comparison and place scatter graphs and correlation after students can interpret plotted data confidently.

Where can I find revision resources for this topic?

You can find additional revision lessons, exam-style questions and topic-based practice on the GCSE Maths Revision Hub. This is useful for consolidating learning after teaching the unit or for Year 11 exam preparation.

Lessons in this Representing and Interpreting Statistical Diagrams scheme of work

  • Plotting and Interpreting Continuous Bar Charts
  • Draw and Interpret Line Graphs
  • Construct and Interpret Pie Charts
  • Scatter Graphs and Correlation

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