# 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 rule-based 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 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

• 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 share your success. Plus it’s:

• Ideal for including in CVs, job applications and portfolios
• An indication of your ability to learn and achieve high results
• An incentive to continue to empower yourself through learning
• A tangible way of supporting the Alison mission to empower people everywhere through education.

###### Modules List( 3 )
• PROJECT MATHS STRAND 1 HIGHER LEVEL: PROBABILITY A...
• Module 1: Counting and Probability
• Arrangements and selections
• Expected value
• Probability of simple events
• Probability of compound events
• Independent events
• Probability using tree diagrams
• Probability trees with and without replacement
• Reverse probability - Bayes' theorem
• Bayes' theorem and medical testing
• Probability patterns of discrete variables
• Comparing distributions
• The binomial distribution
• A problem using binomial distribution
• Bernoulli trials and the binomial formula
• The normal distribution
• Using Excel to calculate binomial probabilities
• Using Excel to find the mean of a binomial distribution
• Module 2: 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
• Introduction to sampling techniques
• Random stratified sampling
• 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
• Regression lines and their equation
• The meaning of the coefficients in the equation of the regression line
• Using Excel to calculate the equation of the regression line
• Using Excel to find the equation of the regression line, using inbuilt function
• END OF COURSE ASSESSMENT
• Higher Level Probability and Statistics Assessment
• Strand 1 Higher Level Probability and Statistics Assessment
• RESOURCE
• Resource: Examination Material Archive
###### Topics List ( 17 )
Module 1: Counting and Probability
###### Topics List ( 16 )
Module 2: Statistics
###### Topics List ( 1 )
Higher Level Probability and Statistics Assessment
You must score 80% or more to pass this assessment.
##### Course Features
• Duration

3-4 Hours

• Publisher

• Video

Yes

• Audio

Yes

• Assessment

Yes

• Certification

Yes

• Price

Free

• Reward

50 Pts

• Responsive

No