Mathematics

Learning statistics develops logical reasoning, analysis, problem-solving skills, creativity, and the ability to think in abstract ways. It uses a universal language of numbers and symbols, which allows us to communicate ideas in a concise, unambiguous and rigorous way. The course develops important statistical techniques that allow candidates to make links between statistical models and the real world, facilitating reasoned arguments based on sound logic. The skills, knowledge and understanding in the course also supports learning in technology, health and wellbeing, science, and social studies. 

The course is made up of 3 units. 

Each unit will develop the knowledge and skills within the content detailed below.

Data Analysis and Modelling

• Interpreting the exploratory data analysis (EDA) of univariate data 

• Working with theoretical and experimental probabilities 

• Calculating conditional probabilities 

• Modelling a discrete random variable 

• Using the laws of expectation and variance 

• Using discrete probability distributions 

• Using continuous probability distributions 

• Using the normal approximation to discrete probability distributions 

Statistical Inference

• Identifying and using appropriate random sampling methods

• Working with the distribution of sample means and sample proportions 

• Obtaining confidence intervals  

• Using control charts

• Fitting a linear model to bivariate data  

• Assessing the linear association between two variables 

• Estimating with bivariate data 

Hypothesis Testing

• Identifying and performing an appropriate one-sample test for the population mean and proportion 

• Identifying and performing an appropriate two-sample test (independent or paired data) for comparing population means and proportions 

• Identifying and performing an appropriate test for population median(s) 

• Identifying and performing an appropriate chi-squared test 

• Identifying and performing an appropriate hypothesis test on bivariate data 

Statistics is important in everyday life. It helps us to make sense of inherent natural variation in a wide variety of contexts. Using statistics enables us to collect, analyse, and interpret data. It equips us with the skills we need to understand the degree of certainty that we can attribute to inferences made and conclusions reached when we interpret and analyse data. 

The course aims to: 

•  motivate and challenge candidates by enabling them to select and apply statistical techniques in a variety of situations  develop candidates’ understanding of the appropriateness of different methods of data collection, particularly ways of sampling from a population

• enable candidates to select and use appropriate statistical models to analyse data  allow candidates to consider and evaluate assumptions required for chosen models

• develop candidates’ understanding of the notion of probability  

• allow candidates to interpret results in context, evaluating the strength and limitations of their models and conclusions  

• develop candidates’ skills in effectively communicating conclusions reached on the basis of statistical analysis 

To support their learning students will be expected to complete day to day work and homework exercises which will average around 2 – 3 hours per week.

Faculty Principal Teacher

Mrs S MacFadyen