• Mathematics
  • Year 9

Probability and Statistics

approx. 13 hrs

6 topics

33 concepts

Learn the fundamentals of Probability and Statistics, a key part of the Year 9 syllabus.

Available in


Probability and Statistics in Year 9 is an important component of the Statistics and Probability strand for the NSW Mathematics K-10 syllabus. In this program, students are taught the concepts of theoretical probability and experimental probability, and how to represent the data gathered in Venn diagrams, tree diagrams, and two way tables. Other concepts that are covered include constructing and interpreting stem and leaf plots, frequency distribution tables and histograms, as well as calculating and comparing five number summaries for box and whisker plots.

Topics & Concepts We Cover

This learning program is made up of the following 6 topics, broken down into 33 concepts.

  • Interquartile range and Box Plots 5 concepts

    1. Communicate meaning of quartiles and interquartiles

    2. Compare parallel box plots with reference to the five-number summary

    3. Establish a five-number summary for a data set

    4. Calculate Interquartile Range

    5. Construct a box plot using the five-number summary

  • Grouped Data Sets 5 concepts

    1. Analyse frequency histograms

    2. Construct a frequency histogram and polygon for ungrouped data

    3. Describe the shape of a distribution including skewness and modes

    4. Construct frequency histogram and polygon for grouped data

    5. Construct Frequency Distribution Tables: Grouped Data

  • Ungrouped Data Sets 7 concepts

    1. Describe the mean, median and mode as 'measures of location' or 'measures of centre', and the range as a 'measure of spread'

    2. Identify any clusters, gaps and outliers in sets of data

    3. Calculate the mean of ungrouped data sets

    4. Identify the mode of ungrouped data sets

    5. Calculate the median of ungrouped data sets

    6. Construct stem-and-leaf plots

    7. Calculate the range of ungrouped data sets

  • Stem-and-Leaf Plots 4 concepts

    1. Construct stem-and-leaf plots

    2. Interpret stem-and-leaf plots

    3. Compare data displayed on a back-to-back stem-and-leaf plot

    4. display data in double (back-to-back) stem-and-leaf plots

  • Two-Step Events 10 concepts

    1. Using arrays for two-step experiments with replacement

    2. Using arrays for two-step experiments without replacement

    3. Using tree diagrams for two-step experiments with replacement

    4. Using tree diagrams for two-step experiments without replacement

    5. Calculate probabilities of simple and compound events in two-step chance experiments, with and without replacement

    6. Construct Venn diagrams

    7. Compare Venn diagrams with two-way tables

    8. Construct two-way tables

    9. Use Venn diagrams to calculate probabilities

    10. Use two-way tables to calculate probabilities

  • Experimental Probability 2 concepts

    1. Calculate relative frequency from an experiment

    2. Calculate the expected frequency of an event

What you'll get

Learning Content

  • A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
  • All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

  • We match you to a private, expert tutor who is right for your needs and goals
  • Our tutors are talented, tested, top ATAR achievers and subject experts
  • During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Probability and Statistics


  • Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
  • You and your parents receive a comprehensive feedback report after every session
  • Every session is recorded and available for you to watch at any time, allowing you to review what was covered

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