• Mathematics Standard
  • Year 12

The Normal distribution

approx. 5 hrs

4 topics

6 concepts

Build mastery in applying analytical techniques to normally distributed data.

Available in


In this learning program, students will develop an understanding of the properties of the normal distibution. We will help students recognise the value of relative measure in the analysis and comparison of datasets arising from random variables that are normally distributed. Students explore analytical processes involving normally distributed data and make judgements in individual cases justifying the reasonableness of their solutions.

Topics & Concepts We Cover

This learning program is made up of the following 4 topics, broken down into 6 concepts.

  • Bell curve 1 concept

    1. Characteristics of a normal distribution

  • Standardised value 2 concepts

    1. Calculate the z-score from a normal distribution and interpret the results in terms of the standard deviation

    2. Use calculated z-scores to compare scores from different data sets

  • Empirical rule 2 concepts

    1. Apply the empirical rule and z-scores

    2. Use the 68-95-99.7% rule for data one, two and three standard deviations from the mean in practical situations

  • Probability of standardised distribution 1 concept

    1. Find the probability for a given or calculated z-score using the normal distribution table

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 The Normal distribution


  • 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?

Simply pick a time that works for you

Add your payment details securely online

We'll be in contact to match you with one of our top tutors and book your first session

Starting at

$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime

Access to practice questions

Not sure if this program is right for you?

Ask us, we'll help you find the right program.

Enquire now