Advanced Statistics for Edexcel A-Level

The Complete A-Level Statistics Textbook - Core, Further & STEP in One Volume

Advanced Statistics for Edexcel A-Level is the first textbook to unify Edexcel A-Level Statistics, Further Mathematics Statistics, and STEP preparation into a single, coherent guide. Written for ambitious students, it builds from foundational concepts to university-level rigour across 22 carefully structured chapters.

What makes this book different?

• Three qualifications, one book: Covers the full Edexcel A-Level Statistics specification, Further Mathematics Statistics modules, and extends to STEP-level difficulty - no need to juggle multiple textbooks.


• "Beyond the Syllabus" explorations: Clearly marked sections connect A-Level topics to Bayesian statistics, machine learning, quantum mechanics, and financial mathematics - building the deeper intuition that top grades and STEP success demand.


• Exam-focused pedagogy: Every chapter includes worked examples, common misconception warnings, graded exercise sets, and mixed review exercises. Three full sample examination papers with detailed solutions provide realistic exam practice.


• Developed in-conjunction with IRMaths: Our leading mathematics platform IRMaths contains lesson slides, assignments and tests for this textbook. One platform and one textbook is all you need to master the exam.

Topics covered include:

• Descriptive statistics, data visualisation, and sampling methods


• Probability, Bayes' theorem, and conditional reasoning


• Binomial, Poisson, normal, and exponential distributions


• Correlation, regression, and the Edexcel Large Data Set


• Hypothesis testing: z-tests, t-tests, paired tests, and non-parametric methods


• Chi-squared tests: contingency tables and goodness of fit


• ANOVA, effect size, statistical power, and experimental design


• The Statistical Enquiry Cycle for coursework and extended projects

Who is this book for?

• A-Level students taking Edexcel Mathematics, Further Mathematics, or the standalone Statistics qualification


• Students preparing for STEP and university entrance in quantitative disciplines


• Teachers seeking a comprehensive, rigorous reference with complete solutions


• Self-study learners who want a coherent narrative from basics to advanced inference

With historical context from Bayes to Fisher, professional-quality diagrams, and a progressive structure that rewards curiosity, this is the statistics textbook that takes you beyond the specification - and beyond the competition.

First Edition, 2026. Published by IREducation Inc.