# 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

## Course Content

### Descriptive Statistics

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Representing Data
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Exploring Data
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Not Enrolled

• 37 Lessons
• 173 Topics
• 36 Quizzes