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Further Mathematics Unit 3 AOS 1 - Data Analysis

Learning Areas and Capabilities
VCE - Further Mathematics
Audience
VCE Unit 3
Available
Online
VCE Module
Students will learn how to operate a CAS calculator for Data Analysis, investigate types of data distributions, investigating two variable data, modelling linear associations and time series.

This unit is composed of five different modules that can be completed individually (approximately 4 hours each). The modules include:

Further Mathematics Unit 3 AOS 1: 1.1 - Using your CAS

Students will learn and test their knowledge in using their CAS calculator for Data Analysis through the following: 

  • Using the CAS Calculator to investigate one and two Variable Data 

  • Using the CAS to investigate and model linear association 

  • Regression line, residual plot from table & straight from CAS 

  • Hints and tips when using your CAS 

Further Mathematics Unit 3 AOS 1: 1.2 - Data Distributions

Students will investigate data distributions, including:

  • Types of Data

  • Categorical and Numerical data

  • Using distribution/s of categorical data

  • 5 number Summary, Boxplot and Outliers

  • Sample mean and standard deviation

  • Normal Distribution and Standardised Values (z-scores)

  • Population, sample and random numbers

Further Mathematics Unit 3 AOS 1: 1.3 - Two Variables

Students will be investigating associations between two variables, including:

  • Two Variable Statistics

  • Response and explanatory variables

  • Describing associations between two categorical variables and numerical and categorical variables

  • Scatterplots

  • Pearson correlation coefficient

  • Cause and effect

Further Mathematics Unit 3 AOS 1: 1.4 - Linear Associations

Students will be investigating and modelling linear associations, including:

  • Linear Association, Least Square Regression and Predictions

  • Coefficient of determination

  • Residual analysis

  • Data transformation and using this data to make predictions

Further Mathematics Unit 3 AOS 1: 1.5 - Time Series

Students will be investigating and modelling time series data, including:

  • Features of time series plots

  • Numerical and graphical smoothing

  • Seasonal adjustment

Choose your Program Type:

Further Mathematics Unit 3 AOS 1 - Data Analysis is available through the following program types. Select a program type to view more information.

Online Portal

Delivered via the Quantum Victoria Online Portal, students can complete the module at their own pace.

Where
Online Portal
Students can access the program via the Online Portal
Duration
Module
Duration
Further Mathematics Unit 3 AOS 1: 1.1 - Using your CAS
4 hours
Further Mathematics Unit 3 AOS 1: 1.2 - Data Distributions
4 hours
Further Mathematics Unit 3 AOS 1: 1.3 - Two Variables
4 hours
Further Mathematics Unit 3 AOS 1: 1.4 - Linear Associations
4 hours
Further Mathematics Unit 3 AOS 1: 1.5 - Time Series
4 hours
This is an estimate of the time required by students to complete the program. Progress is saved as students complete the program, and this does not need to be completed in one continuous block.
Resources
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