VCE Specialist Mathematics Units 1 and 2 – Statistics
6.1 Descriptive Statistics
6.2 Simulation
6.3 Representing Data
6.4 Exploring Data
Simulation, sampling and sampling distributions
This topic includes:
Simulation
 random experiments, events and event spaces
 use of simulation to generate a random sample.
Sampling distributions
 simple random sampling from a finite population and the probability of obtaining a particular sample
 introduction to random variables for discrete distributions
 distinction between a population parameter and a sample statistic and use of the sample statistics mean \( \overline{x} \) and proportion \( \hat{p} \) as an estimate of the associated population parameter mean \( \mu \) and proportion \( p \)
 concept of a sampling distribution and its random variable
 distribution of sample means and proportions considered empirically, including comparing the distributions of different size samples from the same population in terms of centre and spread
 display of variation in sample proportions and means through dot plots and other displays and considering the centre and spread of these distributions
 consideration of the mean and standard deviation of both the distribution of sample means and the distribution of sample proportions and consideration of the effect of taking larger samples.
source – VCE Mathematics Study Design
VCE Specialist Mathematics Units 1 and 2 Courses
VCE Specialist Mathematics Units 1 and 2 Syllabus
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Descriptive Statistics
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Bias
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Statistical Inquiry
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Sample Types
11 Topics
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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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Column Graphs
3 Topics
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Bar Graphs
3 Topics
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Line Graphs
3 Topics
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Pie Graphs
4 Topics
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Radar Charts
4 Topics
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Area Charts
6 Topics
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Dot Plots
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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Mode
5 Topics
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Standard Deviation
5 Topics
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