NSW Syllabuses

# Mathematics K–10 - Stage 5.3 - Statistics and Probability Bivariate Data Analysis

## Outcomes

#### A student:

• MA5.3-1WM

uses and interprets formal definitions and generalisations when explaining solutions and/or conjectures

• MA5.3-2WM

generalises mathematical ideas and techniques to analyse and solve problems efficiently

• MA5.3-19SP

investigates the relationship between numerical variables using lines of best fit, and explores how data is used to inform decision-making processes

## Content

• Students:
• Use information technologies to investigate bivariate numerical data sets; where appropriate, students use a straight line to describe the relationship, allowing for variation (ACMSP279)
• use digital technologies, such as a spreadsheet, to construct a line of best fit for bivariate numerical data
• investigate different methods of constructing a line of best fit using digital technologies (Problem Solving)
• use lines of best fit to predict what might happen between known data values (interpolation) and predict what might happen beyond known data values (extrapolation)
• compare predictions obtained from different lines of best fit (Problem Solving, Reasoning)
• Investigate reports of studies in digital media and elsewhere for information on their planning and implementation (ACMSP277)
• investigate and evaluate the appropriateness of sampling methods and sample size used in reports where statements about a population are based on a sample
• determine whether a sample used enables inferences or conclusions to be drawn about the relevant population (Reasoning)
• critically review surveys, polls and media reports
• identify, describe and evaluate issues such as the misrepresentation of data, apparent bias in reporting, sampling techniques used, and the wording of questions used to collect data (Communicating, Problem Solving, Reasoning)
• discuss issues to be considered in the implementation of policies that result from studies reported in the media or elsewhere (Communicating, Problem Solving)
• investigate the use of statistics and associated probabilities in shaping decisions made by governments and companies, eg the setting of insurance premiums, the use of demographic data to determine where and when various facilities may be built
• use Australian census data to identify issues for the local area or state and suggest implications for future planning in the local area or state (Problem Solving, Reasoning)