• Mathematics General
  • Year 11

Investigating and comparing data distributions

approx. 9 hrs

10 topics

25 concepts

Build mastery in data representation, descriptive statistics and statistical analysis.

Available in


In this learning program, students will cover representing, analysing and comparing data distributions. We will help students develop proficient skills to select and display appropriate graphical representation of a given numerical distribution. Students will effectively analyse the graphical representation in terms of its shape, location, variation and summary statistics.

Topics & Concepts We Cover

This learning program is made up of the following 10 topics, broken down into 25 concepts.

  • Data types and their graphs 3 concepts

    1. Choose an appropriate graphical display depending on the data type

    2. Recognise variables as categorical or numerical (discrete or continuous)

    3. Classification of categorical data as either nominal or ordinal

  • Frequency tables 4 concepts

    1. Construct a frequency table including percentage frequencies

    2. Constructing a bar and percentage bar chart from a frequency table

    3. Interpreting and describing frequency tables and bar charts

    4. Construct a frequency for grouped data including percentage frequencies

  • Frequency histograms 2 concepts

    1. Construct a frequency histogram using a CAS calculator

    2. Construct a frequency histogram

  • Numerical plots 2 concepts

    1. Construct dot plots

    2. Construct stem-and-leaf plots

  • Comparing data distributions 2 concepts

    1. Compare location and spread of data distributions

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

  • Measures of centre 3 concepts

    1. Finding the Median From a Frequency Distribution Table

    2. Finding the Mean From a Frequency Distribution Table

    3. Finding the Mode From a Frequency Distribution Table

  • Measures of spread 3 concepts

    1. Calculate standard deviation step-by-step using the formula

    2. Calculate the range of ungrouped data sets

    3. Calculate Interquartile Range

  • Summary statistics and technology 1 concept

    1. Use the CAS calculator to calculate summary statistics

  • Outliers and boxplots 2 concepts

    1. Construct a box plot include fencing by identifying outliers

    2. Use the criteria to define an outlier to solve problems

  • Comparing distributions across two groups 3 concepts

    1. Display data in two box plots with fencing drawn on the same scale

    2. Compare parallel box plots with fencing

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

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 Investigating and comparing data distributions


  • 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

Ready to start this program?

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Starting at

$49(inc. GST)

per session

Fully flexible

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Access to practice questions

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