Probability and Statistics | Free Math course | Alison

The New Alison App has just launched Download Now

Strand 1 Leaving Certificate Higher Level Probability and Statistics - Revised

Improve your understanding of Probability and Statistics in this free online Project Maths Leaving Certificate course.

Probability and Statistics
Free Course
This free online probability and statistics course will be a massive help to any student studying maths in their Leaving Cert. And, indeed, will be a helpful guide for anyone studying maths in this area. 'Probability and Statistics' is the first of two strands introduced in paper 2 of the new Project Maths Course in the Irish curriculum. This topic covers up to half of the new Leaving Certificate Paper.





View course modules


Statistics are constantly used in real life to organize the information around us and to determine how it might affect us. Statistics looks at the analysis of the data collected and the data handling cycle. This involves posing a question, collecting data on the response, presenting the data, analysing that data (using measures of centre and spread) and interpreting the results. In answering questions, it is very important that you can justify your findings with context.

Probability is concerned with chance, how likely it is that an event will occur. The information can be used to instruct your decisions.
Probability is constantly utilised in the world of insurance, finance and sport among many other fields. Probability can also be used to determine the fairness of a series of events or just a single event. It can be presented using a rule-based approach or diagrams.

Combining the abilities of both fields, Probability and Statistics, can be used to prove/disprove a given statement or conjecture (Hypothesis Testing (HL only)). The aim of this Strand is to merge the mathematical aspects of Probability and Statistics with examples of real-life application. It is a very interesting topic that is accessible to all students.

Start Course Now


Counting and Probability Part 1

Counting and Probability Part 2

Statistics Part 1

Statistics Part 2

Course assessment

Learning Outcomes

Having completed this course students will be able to:

  • Recognise the concept of Expected value
  • Discuss and define what probability is
  • Discuss how to calculate probability in reverse
  • Recognize Bayes Theorem
  • Identify how to calculate the probability distribution
  • Define what a Binomial Distribution is and how to calculate it
  • Recognize how to calculate the cumulative frequency of a distribution
  • Recognize how to plot a cumulative frequency on a graph
  • Identify how to calculate the mean of a grouped frequency table
  • Discuss creating a Stem and Leaf Diagram
  • Define what statistical correlation is
  • Identify how to make a scatter diagram
  • Identify how to work out Pearson's Correlation Coefficient
  • Discuss what regression lines are and do


All Alison courses are free to enrol, study and complete. To successfully complete this Certificate course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Certificate course, you have the option to acquire an official Certificate, which is a great way to share your achievement with the world. Your Alison Certificate is:

Ideal for sharing with potential employers - include it in your CV, professional social media profiles and job applications
An indication of your commitment to continuously learn, upskill and achieve high results
An incentive for you to continue empowering yourself through lifelong learning

Alison offers 3 types of Certificates for completed Certificate courses:

Digital Certificate - a downloadable Certificate in PDF format, immediately available to you when you complete your purchase
Certificate - a physical version of your officially branded and security-marked Certificate, posted to you with FREE shipping
Framed Certificate - a physical version of your officially branded and security-marked Certificate in a stylish frame, posted to you with FREE shipping

All Certificates are available to purchase through the Alison Shop. For more information on purchasing Alison Certificates, please visit our FAQs. If you decide not to purchase your Alison Certificate, you can still demonstrate your achievement by sharing your Learner Record or Learner Achievement Verification, both of which are accessible from your Dashboard. For more details on our Certificate pricing, please visit our Pricing Page.


    You have received a new notification
    Click here to view them all