# SACE Stage 1 General Mathematics – Statistical Investigation

3.1 The Statistical Investigation Process

3.2 Sampling and Collecting Data

3.3 Classifying and Organising Data

3.4 The Shape, Location and Spread of Distribution of Numerical Data

3.5 Forming and Supporting Conjectures across Two or More Groups

This topic begins with considering the structure of the statistical investigation process from data collection using various sampling methods. It proceeds to analyse using measures of central location and spread to form conjectures and draw conclusions based on that analysis.

In sampling, there is an emphasis on the importance of eliminating bias as well as ensuring the validity and reliability of results. Data analysis incorporates its representation in tabular and graphical form (stem-and-leaf plots, box-and-whisker diagrams, and histograms) and the calculation of summary statistics from the sample.

Students learn to form conjectures supported or refuted by a logical argument, using justification from the results of their analysis. The suitability of the statistical tools and measures used to solve the problems is emphasised throughout this topic. Electronic technology is used to aid in the statistical investigation process.

*Source – Subject Outline, South Australian Certificate of Education 2023*

SACE Stage 1 General Mathematics Courses

SACE Stage 1 General Mathematics Syllabus

## Course Content

### Descriptive Statistics

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