Probability and Statistics is one of two strands introduced in the first phase of the new Project Maths Course. This topic covers up to half of the new Paper 2 in the Leaving Certificate Paper in the Irish curriculum. Statistics are used in real life to make sense of the information around us and how it affects us. Statistics looks at the data handling cycle and analysis of the data collected. This involves posing a question, collecting data on that question, presenting that data, analysing the data (using measures of spread and centre) and interpreting the results. In answering questions, it is essential that you can contextualise and justify your findings. Probability is concerned with the likelihood of an event(s) happening. The information can be used to make informed decisions. The use of probability is commonly utilised in the world of finance, insurance and sport among others. Probability can also be used to infer the fairness of an event or series of events. It can be evaluated using a diagram or a rule-based approach. This Strand attempts to merge the mathematical aspects of Probability and Statistics with its real-life application. It is an interesting topic that is very accessible to all students.
Having completed this course students will be able to:
- Describe the concepts of probability
- Understand outcomes of random processes
- Describe statistical reasoning with an aim to becoming a statistically aware consumer
- Find, collect and organise data
- Represent data graphically and numerically
- Analyse, interpret and draw inferences from data
- Develop synthesis and problem-solving skills
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Strand 1 Ordinary Level Probability and Statistics
Modules List( 3 )
PROJECT MATHS STRAND 1 ORDINARY LEVEL: PROBABILITY...
1 Counting and Probability
Learn more about counting and probability.
- Expected Value
- Probability of simple events
- Probability of compound events
- Independent events
- Probability using tree diagrams
- Probability trees with and without replacement
- Simple Bernoulli Trials
- Bernoulli Trials - Part 2
Module 2: Statistics
Learn more about statistics.
- 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
- Histograms - Understanding that area gives frequency
- Statistical correlation
- Measuring correlation - Pearson's Correlation Coefficient
- Using Excel to calculate Pearson's Correlation Coefficient
- Using Excel to find Pearson's Correlation Coefficient, using the inbuilt function
END OF COURSE ASSESSMENT
Strand 1 Ordinary Level Probability and Statistics Assessment
You must score 80% or more to pass this assessment.
- Strand 1 Ordinary Level Probability and Statistics Assessment
Resource: Examination Material Archive View Resource