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.
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CertificationView 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.
Probability - Learning Outcomes
Probability of Simple Events
Probability of Compound Events
Probability using Tree Diagrams
Probability Trees with and Without Replacement
Simple Bernoulli Trials
Bernoulli Trials 2
Probability - Lesson Summary
Statistics - Learning Outcomes
Cumulative Frequency and The Ogive
Cumulative Frequency, Quartiles and the Inter-Quartile Range
Mean of Grouped Frequency Tables
Constructing a Stem and Leaf Diagram
Comparative Stem and Leaf Diagram
Understanding that Area Gives Frequency
Measuring Correlation - Pearson's Correlation Coefficient
Using Excel to Calculate Pearson's Correlation Coefficient
Using Excel to Find Pearson's CC, Using the Inbuilt Function
Statistics - Lesson Summary
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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