
Free Course

Advance Learning

34 Hours

Assessment

Certification

Academic  Secondary  Level 2

50 Pts
Strand 1 Higher Level Probability and Statistics

Description

Outcome

Certification

Probability and Statistics is one of two strands introduced in the first phase of the new Project Maths Course in the Irish curriculum. This topic covers up to half of the new Paper 2 in the Leaving Certificate Paper.
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 rulebased approach.
A combination of Probability and Statistics can be used to prove/disprove a given conjecture or statement (Hypothesis Testing (HL only)). This Strand attempts to merge the mathematical aspects of Probability and Statistics with its reallife 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 problemsolving skills

All Alison courses are free to study. To successfully complete a course you must score 80% or higher in each course assessments. Upon successful completion of a course, you can choose to make your achievement formal by purchasing an official Alison Diploma, Certificate or PDF.
Having an official Alison document is a great way to celebrate and share your success. It is: Ideal to include with CVs, job applications and portfolios
 A way to show your ability to learn and achieve high results
Modules List( 3 )

PROJECT MATHS STRAND 1 HIGHER LEVEL: PROBABILITY A...

Module
1 Counting and Probability
Learn more about counting and probability.

Arrangements and selections
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Expected value
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Probability of simple events
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Probability of compound events
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Independent events
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Probability using tree diagrams
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Probability trees with and without replacement
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Reverse probability  Bayes' theorem
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Bayes' theorem and medical testing
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Probability patterns of discrete variables
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Comparing distributions
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The binomial distribution
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A problem using binomial distribution
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Bernoulli trials and the binomial formula
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The normal distribution
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Using Excel to calculate binomial probabilities
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Using Excel to find the mean of a binomial distribution
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Module
2 Statistics
Learn more about statistics.

Cumulative frequency and the Ogive
Start Topic

Cumulative frequency, quartiles and the interquartile range
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Mean of grouped frequency tables
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Constructing a stem and leaf diagram
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Comparative stem and leaf diagram
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Histograms  Understanding that area gives frequency
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Introduction to sampling techniques
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Random stratified sampling
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Statistical correlation
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Measuring correlation  Pearson's Correlation Coefficient
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Using Excel to calculate Pearson's Correlation Coefficient
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Using Excel to find Pearson's Correlation Coefficient, using the inbuilt function
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Regression lines and their equation
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The meaning of the coefficients in the equation of the regression line
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Using Excel to calculate the equation of the regression line
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Using Excel to find the equation of the regression line, using inbuilt function
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END OF COURSE ASSESSMENT

Higher Level Probability and Statistics Assessment

You must score 80% or more to pass this assessment.

Strand 1 Higher Level Probability and Statistics Assessment
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RESOURCE

Resource: Examination Material Archive View Resource