VCE General Mathematics Units 1 and 2 – Statistics
6.1 Descriptive Statistics
6.2 Representing Data
6.3 Exploring data
6.4 Linear Modelling
Investigating and comparing data distributions
This topic includes:
 types of data, including categorical (nominal or ordinal) or numerical (discrete or continuous)
 display and description of categorical data distributions using frequency tables and bar charts; and the mode and its interpretation
 display and description of numerical data distributions in terms of shape, centre and spread using histograms, stem plots (including backtoback stem plots) and dot plots and choosing between plots
 measures of centre and spread and their use in summarising numerical data distributions, including use of and calculation of the sample summary statistics, median, mean, range, interquartile range (IQR) and standard deviation; and choosing between the measures of centre and spread
 the fivenumber summary and the boxplot as its graphical representation and display, including the use of the lower fence (Q1 – 1.5 × IQR) and upper fence (Q3 + 1.5 × IQR) to identify possible outliers
 use of backtoback stem plots or parallel boxplots, as appropriate, to compare the distributions of a single numerical variable across two or more groups in terms of centre (median) and spread (IQR and range), and the interpretation of any differences observed in the context of the data.
Investigating relationships between two numerical variables
This topic includes:
 response and explanatory variables
 scatterplots and their use in identifying and qualitatively describing the association between two numerical variables in terms of direction, form and strength
 the Pearson correlation coefficient \( r \), calculation and interpretation, and correlation and causation
 use of the leastsquares line to model an observed linear association and the interpretation of its intercept and slope in the context of the data
 use of the model to make predictions and identify limitations of extrapolation.
source – VCE Mathematics Study Design
VCE General Mathematics Units 1 and 2 Courses
VCE General Mathematics Units 1 and 2 Syllabus
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Descriptive Statistics
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Sample Types
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Discrete Data
2 Topics
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Continuous Data
3 Topics
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Representing Data
Frequency Tables
3 Topics
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StemandLeaf Plots
5 Topics
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Exploring Data
Interpreting Data
3 Topics
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Median
14 Topics

3 Quizzes
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Mean
17 Topics

3 Quizzes
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Standard Deviation
5 Topics
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Linear Modelling
Correlation
1 Topic
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Predictions
3 Topics
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Course Includes
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 141 Topics
 45 Quizzes
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