Probability and Statistics | Free Math course | Alison

Strand 1 Leaving Certificate Ordinary Level Probability and Statistics - Revised

This free online Probability and Statistics course covers one of the two strands that make up the first phase of the Project Maths Course.

Probability and Statistics
Free Course
This free online Leaving Certificate course teaches you ordinary level probability and statistics. Probability and Statistics is one of the two strands covered in the first phase of the Ordinary level Project Maths series, and this course covers up to half of Paper 2 in the Irish Leaving Certificate. It will support you in your study of the subject in a unique way. All of the discussed content is reviewed with an assessment.
  • Duration

    1.5-3 Hours
  • Assessment

  • Certification

  • Responsive






View course modules


Statistics can be very useful for making sense of the information around us and how it might affect us. Statistics looks at the cycle of data handling and the collection of analysed data. This involves a question, a collection of data on that question, a presentation of that data and an analysis of the data (using spread and centre) and interpreting the results. In answering questions, it is important to contextualise findings in order to justify them.

Probability looks at the likelihood of any event(s) happening. The information can help to make decisions. The uses of probability can be seen in the world of sport, insurance and finance among others. Probability can be used to examine how fair an event or series of events might be. It can be evaluated in different ways; using a diagram or a rule-based approach.

This Strand attempts to combine the theoretical aspects of Probability and Statistics with some real-life application.
It is an interesting and accessible topic, useful for all students.

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Learning Outcomes

Having completed this course students will be able to:

  • Discuss and calculate the mathematical ways making arrangement and selections
  • Recognise the concept of Expected value
  • Discuss and define what probability is
  • Calculate the probability of simple and compound events
  • Recognize what a Tree Diagram is and can do
  • Define what Bernoulli Trials are and used for
  • Recognize how to calculate the cumulative frequency of a distribution
  • Identify how to calculate the mean of a grouped frequency table
  • Discuss creating a Stem and Leaf Diagram
  • Recognize how to compare two stem and leaf diagrams
  • Calculate the area frequency of a histogram
  • Define what statistical correlation is
  • Identify how to make a scatter diagram
  • Identify how to work out Pearson's Correlation Coefficient


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