Course Overview
This course has four components:
An external SQA exam is sat at the end of the course and a Project must also be completed.
The standalone Higher Statistics unit award is embedded within this course.
The software packages R Studio and Excel are used.
Alphabetical Listing of Topics
Mathematical Modelling
Key Subskills
- Modelling a situation mathematically in a given context
- Defining appropriate units of measure for variables and checking for consistency
- Evaluating the effects of error and tolerances within mathematical models
- Evaluating and interpreting the output of mathematical models
- Analysing mathematical models and suggesting possible improvements
- Using software effectively in calculations
Statistics and Probability
Key Subskills
- Applying statistical skills to basic probability
- Applying statistical literacy skills to data
- Applying statistical skills to correlation and linear regression
- Applying statistical skills to data analysis, interpretation and communication
Refresher: National 5 Apps Statistics
Excel & Scattergraphs
Statistical Tests
Probability
Useful Data Sources
Finance
Key Subskills
- Applying mathematical skills to calculating present and future values of monetary payments
- Applying mathematical skills to solving problems related to personal financial products and transactions
- Analysing the results of financial calculations
- Applying personal financial planning skills
Finance Topics & Resources
Sequences & Recurrence Relations
Planning and Decision Making
Key Subskills
- Understanding and applying project planning and decision making
- Representing compound projects using activity networks (e.g., PERT charts)
- Using systematic methods to find early and late times for activities
- Identifying critical activities and finding critical paths
- Using Gantt charts to represent project activities
- Understanding and interpreting risk using expected value
- Applying expected value to real‑life contexts
Planning Tools & Resources
Mathematical Modelling — Learning Outcomes
- Modelling a situation mathematically in a given context
- Defining appropriate units of measure for variables and checking for consistency
- Evaluating the effects of error and tolerances within mathematical models
- Evaluating and interpreting the output of mathematical models
- Analysing mathematical models and suggesting possible improvements
- Using software effectively in calculations
Planning and Decision Making — Learning Outcomes
- Understanding and applying project planning and decision making
- Representing compound projects using activity networks
- Using systematic methods to find early and late times for activities
- Identifying critical activities and finding critical paths
- Using Gantt charts to represent project activities
- Understanding and interpreting risk using expected value
- Applying expected value to real‑life contexts
Finance — Learning Outcomes
- Applying mathematical skills to calculating present and future values of monetary payments
- Applying mathematical skills to solving problems related to personal financial products and transactions
- Analysing the results of financial calculations
- Applying personal financial planning skills
Statistics and Probability — Learning Outcomes
- Constructing tree diagrams and Venn diagrams
- Carrying out basic calculations involving combinations of events
- Constructing and interpreting statistical diagrams
- Interpreting the distribution of data (symmetry, normality, skewness)
- Deriving, understanding, and interpreting sample measures of location and dispersion
- Interpreting and constructing scatter plots
- Using simple linear regression
- Interpreting slope and intercept parameters
- Using linear models for prediction
- Assessing the accuracy of predictions
- Understanding and interpreting correlations
- Understanding applicability of Pearson’s correlation coefficient
- Exploring trends in data
- Formulating research questions
- Interpreting and reporting results of hypothesis tests
- Generating and interpreting confidence intervals
- Performing simple analysis using t‑tests and paired t‑tests
- Using z‑tests for two proportions
- Understanding how errors can arise in statistical testing
- Relating hypothesis test results to the original research question
Books
Printed resources available at Amazon
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© Alexander Forrest