GCSE Maths / Edexcel

Probability and Statistics revision

Averages, cumulative frequency, probability trees, Venn diagrams, and sampling questions.

This area often rewards careful reading and structured notation more than long calculations.

Paper focus: Foundation consistency and Higher reasoning. Tiers: Foundation and Higher.

Revision hint

Keep diagrams tidy and make students label total probability before chasing single branches.

Typical exam signals

probability treehistogrambox plotsampling bias

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Start with Averages and range, then use the app tools to practise, upload an answer, or ask for an explanation.

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Learn the method, then practise it.

Each revision note is built as a short lesson with theory, worked examples, quick exercises, and exam-style questions with marking guidance.

Foundation and Higher / Grades 2 to 5

Averages and range

Find the mean, median, mode and range from a list of numbers, then choose the correct average in a GCSE-style context.

Pearson Edexcel GCSE Maths Statistics S4: use measures of central tendency and spread to interpret and compare data.

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Foundation and Higher / Grades 3 to 5

Averages from frequency tables

Use frequency tables to find the mean, median, mode and range without writing out the whole list unless it helps.

Pearson Edexcel GCSE Maths Statistics S2 and S4: interpret frequency tables and calculate averages and spread.

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Foundation and Higher / Grades 4 to 6

Estimated mean from grouped data

Estimate a mean from grouped data by using class midpoints, and identify the modal class from a grouped frequency table.

Pearson Edexcel GCSE Maths Statistics S3 and S4: interpret grouped data and use measures of average and spread.

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Foundation and Higher / Grades 2 to 5

Bar charts and pie charts

Read, draw and interpret bar charts and pie charts, choosing the correct scale and showing enough working for angle calculations.

Pearson Edexcel GCSE Maths Statistics S2: interpret and construct tables, charts and diagrams, including bar charts and pie charts.

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Foundation and Higher / Grades 2 to 5

Probability scale and basic probability

Use the 0 to 1 probability scale, write probabilities as fractions, decimals or percentages, and use the complement rule.

Pearson Edexcel GCSE Maths Probability P2, P3 and P4: use the probability scale, calculate probabilities and use probabilities that sum to 1.

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Foundation and Higher / Grades 4 to 6

Sample space diagrams

List combined outcomes systematically in a sample space diagram and use the grid to calculate probabilities.

Pearson Edexcel GCSE Maths Probability P6 and P7: enumerate outcomes systematically using tables and construct theoretical possibility spaces.

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Spec points

Use averages and spread measures in context.

Interpret and construct statistical diagrams.

Model combined events and conditional probability.

Common question types

Complete or interpret a probability tree.

Compare two data sets from charts.

Use cumulative frequency or histogram information.