Course Description

The course covers every dot point from MA-S2 Descriptive Statistics and Bivariate Data Analysis and MA-S3 Random Variables in the new NSW Year 12 Mathematics Advanced syllabus. 

The course goes into greater detail than the textbooks, so teachers are more comfortable in their ability to deliver the content. All 106 examples have been recorded, so that you can watch an experienced maths teacher talk through the examples and any important points to note.

New and existing content is explored in detail, including interesting and more efficient techniques that experienced teachers may not have seen before. Important points to be covered with students are noted, and the limits of the syllabus are discussed. As more detail on the syllabus is released by NESA any changes required will be made. Also included are related skills that are beyond the syllabus that you can use to extend more capable students.

Each lesson includes a section for Extension Students, that covers work that can help them develop skills and techniques that helps prepare them for content they will cover in the Extension 1 or Extension 2 courses.

The course includes:

  • 106 recorded examples

  • 232 page course handout

  • 106 optional practice questions matching the examples from the course

  • 44 mixed questions, all with fully worked solutions


The remainder of the Year 12 Advanced syllabus is covered in four other courses:

ADV#6 Further Differentiation (MA-C2 Differential Calculus and MA-C3 Applications of Differentiation)

ADV#7 Integration (MA-C4 Integral Calculus) 

ADV#8 Functions and Trigonometric Functions (MA-F2 Graphing Techniques and MA-T3 Trigonometric Functions and Graphs)

ADV#10 Financial Mathematics (MA-M1 Modelling Financial Situations)


Mathematics teachers of any experience level who are preparing to teach the new Advanced syllabus.

Teaching Standards

2.1.2 Proficient Level - Know the content and how to teach it - Content and teaching strategies of the teaching area:  Apply knowledge of the content and teaching strategies of the teaching area to develop engaging teaching activities

This Course:

Statistics - ADV#9

  $349 + GST (Teacher)
$1250 + GST (School)

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Complete Subject:

Year 12 Advanced (5 courses)

  $990 + GST (Teacher)
$2990 + GST (School)

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Do you teach in NSW? If so, this is relevant to you:

Completing Year 12 Advanced Mathematics: Statistics - ADV#9 will contribute 10 hours of NSW Education Standards Education Authority (NESA) Accredited PD in the priority area of Delivery and Assessment of NSW Curriculum/Early Years Learning Framework, addressing standard descriptors 2.1.2 from the Australia Professional Standards for Teachers towards maintaining Proficient Teacher Accreditation in NSW.


Course curriculum

  • 1


    • Course Administration

    • Introduction to the Mathematics Advanced Year 12 In Depth Series

    • Introduction to In Depth ADV#9

  • 2


    • Introduction to Statistics

    • Relevant Parts of the Syllabus

  • 3

    Lesson 1 Classifying Data and Summary Statistics

    • Lesson Overview

    • Organising the Teaching of Statistics

    • Classifying Variables

    • Summary Statistics

    • Shape and Modality

    • Summarising and Interpreting

    • Extension Students

    • Practice Exercises

    • ADV#9 Lesson 1 Quiz

  • 4

    Lesson 2 Tables and Graphs

    • Lesson Overview

    • Tables and Graphs

    • Suitability of Different Displays

    • Describing, Comparing and Interpreting

    • Extension Students

    • Practice Exercises

    • ADV#9 Lesson 2 Quiz

  • 5

    Lesson 3 Bivariate Data by Eye

    • Lesson Overview

    • Scatterplots and Identifying Patterns

    • Line of Best Fit By Eye

    • Making Predictions - Interpolation and Extrapolation

    • Extension Students

    • Practice Exercises

    • ADV#9 Lesson 3 Quiz

  • 6

    Lesson 4 Bivariate Data by Formula

    • Lesson Overview

    • Pearson’s Correlation Coefficient

    • Least Squares Regression Line

    • Extension Students

    • Practice Exercises

    • ADV#9 Lesson 4 Quiz

  • 7

    Lesson 5 Probability Density Functions

    • Lesson Overview

    • Estimating Probabilities

    • Continuous Probability Density Functions

    • Mode of a probability density function

    • Extension Students

    • Practice Exercises

    • ADV#9 Lesson 5 Quiz

  • 8

    Lesson 6 Cumulative Distribution Functions

    • Lesson Overview

    • Cumulative distribution function

    • Using a CDF to find the Median and Other Quantiles

    • Extension Students

    • Practice Exercises

    • ADV#9 Lesson 6 Quiz

  • 9

    Lesson 7 Normal Distribution and 𝒛-scores

    • Lesson Overview

    • Numerical and graphical properties of a normal distribution

    • Standard Normal Distribution

    • Equation of the Normal Curve

    • Estimating Areas Under the Normal Curve

    • Extension Students

    • Practice Exercises

    • ADV#9 Lesson 7 Quiz

  • 10

    Lesson 8 Normal Distribution and the Empirical Rule

    • Lesson Overview

    • Empirical Rule

    • Checking the Empirical Rule Against Data

    • Using the empirical rule

    • Extension Students

    • Practice Exercises

    • ADV#9 Lesson 8 Quiz

  • 11

    Lesson 9 Normal Distribution Statistical Tables

    • Lesson Overview

    • Using statistical tables

    • Quantiles

    • Problem Solving

    • Extension Students

    • Practice Exercises

    • ADV#9 Lesson 9 Quiz

  • 12

    Questions from the HSC

    • Advanced Year 12 Statistics in the HSC Exams

  • 13

    Appendix 1: Mixed Revision Exercises

    • Mixed Revision

  • 14


    • Highlights of Statistics

    • Conclusion to In Depth ADV#9

  • 15

    Course Feedback

    • Please take few minutes to give us your feedback


Steve Howard

Steve Howard

Steve Howard has inspired and equipped hundreds of Maths teachers with his In-Depth Senior Mathematics courses, providing all the tips, examples and resources to teach the HSC syllabus with confidence. He loves to discover the most efficient techniques for solving mathematical problems, by analysing other experts' solutions or by developing his own approaches when he finds a better way. As a student, Steve did Unit 4 Mathematics, gaining a mark of 198/200, before training as an actuary. After retraining as a teacher, Steve has taught Maths at Cowra High School, NSW, for 28 years. He has also taught gifted and talented students online through Xsel and Aurora College, and developed all student course material for TTA's Year 12 Extension Maths Portal.

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