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# 5. Statistics and probability

Created on 25 July 2019 by ncetm_administrator
Updated on 03 September 2019 by ncetm_administrator

## 5. Statistics and probability

Theme 5 is Statistics and probability. It comprises three interconnected core concepts, each of which covers a set of ‘knowledge, skills and understanding’ statements.

For each core concept, we have produced a detailed guidance document underpinned by a clear set of pedagogical principles and practices to support planning. Each document offers an overview of the content within the statements of knowledge, skills and understanding, and breaks them down further into focused key ideas.

At the end of the documents, some of the key ideas are exemplified, to demonstrate what planning for secure and deep understanding of mathematics at Key Stage 3 might involve. Other key ideas are left for individual departments and teachers to work on, alongside existing material and schemes.

There is also a guidance document that offers an overview of the theme as a whole.

• 5 Statistics and probability
Theme 5 explores the role of statistical diagrams and measures in summarising and displaying data. It also introduces probability as a way of predicting the likelihood of events

• 5.1 Statistical representations and measures
This core concept covers measures of central tendency, work with grouped data and measures of spread, as well as the construction of scatter graphs and pie charts

• 5.2 Statistical analysis
This core concept covers the idea of making informed choices about which statistical analysis and representation to use for discrete, continuous and grouped data. It also looks at the effect that these choices have on the interpretation of data

• 5.3 Probability
This core concept introduces probability as a way to quantify, explore and explain likelihood and coincidence, and to reason about uncertainty

## Acknowledgements

The NCETM and Maths Hubs would like to thank the following for their contribution to the materials:

• Secondary mathematics specialists: Debbie Barker; Frances Carr; Clare Dawson; Pete Griffin; Alison Hopper; Carol Knights; Steve Lomax; Richard Perring; Pete Sides; Maths Hubs Secondary Mastery Specialists

• Educational consultant: Dr Alf Coles, University of Bristol

• Editorial and production: Natasha Chippendale; Charlotte Christensen; Bronwyn Enright; Jackie Mace; David Mantovani; Andrew Young

• Illustrations: Steve Evans