About the Book

Year Published: 2013
Page Count: 208
ISBN: 978-1-921972-31-7 (9781921972317)
Online ISBN: 978-1-921972-78-2 (9781921972782)

Table of Contents

Mathematics HL (Option): Statistics and Probability

    SYMBOLS AND NOTATION USED IN THIS BOOK 6
  A Expectation algebra 9
  B Discrete random variables 26
  C Continuous random variables 42
  D Probability generating functions 52
  E Distributions of the sample mean and the Central Limit Theorem 66
  F Point estimation (unbiased estimators and estimates) 82
  G Confidence intervals for means 90
  H Significance and hypothesis testing 100
  I Bivariate Statistics 124
    Review set A 146
    Review set B 148
    Review set C 151
    Review set D 153
    THEORY OF KNOWLEDGE (The Central Limit Theorem) 157
    THEORY OF KNOWLEDGE (Population Parameters) 158
    WORKED SOLUTIONS 160
    INDEX 207

Authors

Author

Catherine Quinn

Author

Peter Blythe

Author

Robert Haese

Author

Michael Haese

Michael completed a Bachelor of Science at the University of Adelaide, majoring in Infection and Immunity, and Applied Mathematics. He studied laminar heat flow as part of his Honours in Applied Mathematics, and finished a PhD in high speed fluid flows in 2001. He has been the principal editor for Haese Mathematics since 2008.

 

What motivates you to write mathematics books?

My passion is for education as a whole, rather than just mathematics. In Australia I think it is too easy to take education for granted, because it is seen as a right but with too little appreciation for the responsibility that goes with it. But the more I travel to places where access to education is limited, the more I see children who treat it as a privilege, and the greater the difference it makes in their lives. But as far as mathematics goes, I grew up with mathematics textbooks in pieces on the kitchen table, and so I guess it continues a tradition.

 

What do you aim to achieve in writing?

I think a few things:

  • I want to write to the student directly, so they can learn as much as possible from the text directly. Their book is there even when their teacher isn't.
  • I therefore want to write using language which is easy to understand. Sure, mathematics has its big words, and these are important and we always use them. But the words around them should be as simple as possible, so the meaning of the terms can be properly explained to ESL (English as a Second Language) students.
  • I want to make the mathematics more alive and real, not by putting it in contrived "real-world" contexts which are actually over-simplified and fake, but rather through its history and its relationship with other subjects.

 

What interests you outside mathematics?

Lots of things! Horses, show jumping and course design, alpacas, badminton, running, art, history, faith, reading, hiking, photography ....

Features

Fully worked solutions are included for every question.

Graphics calculator instructions for Casio fx-9860G Plus, Casio fx-CG20, TI-84 Plus, and TI-nspire are included with this textbook. The textbook will either have comprehensive instructions at the start of the book, specific instructions available from icons located throughout, or both. The extensive use of graphics calculators and computer packages throughout the book enables students to realise the importance, application, and appropriate use of technology.

Theory of Knowledge is a core requirement in the International Baccalaureate Diploma Programme.

Students are encouraged to think critically and challenge the assumptions of knowledge. Students should be able to analyse different ways of knowing and kinds of knowledge, while considering different cultural and emotional perceptions, fostering an international understanding.

Early prints of this textbook came with a Student CD. Recent prints of this book include 27 months of access for electronic devices through our Snowflake learning platform.

Where relevant, Snowflake or the Student CD include a complete electronic copy of the book with interactive geometry, graphing, and statistics software, demonstrations, games, spreadsheets, and a range of printable worksheets, tables, and diagrams. Teachers are provided with a quick and easy way to demonstrate concepts, and students can discover for themselves and re-visit when necessary.

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