Mathematics / Year 10 / Statistics and Probability / Data representation and interpretation

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Use information technologies to investigate bivariate numerical data sets. Where appropriate use a straight line to describe the relationship allowing for variation (ACMSP279)

Elaborations
  • investigating different techniques for finding a ‘line of best fit’
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Linear regression,  Bivariate data

Interactive resource

Graph investigator

Explore different graph types such as scatter plots, line graphs and histograms. Choose questions to investigate. For example, do girls have faster reaction times than boys? Select the appropriate data set. Then choose a useful graph type. Examine the data presented in the chosen graph type and draw a conclusion about the ...

Interactive resource

Graph investigator: types of graphs

This learning object shows a variety of graphs used in data handling and explains their features, their different uses and their advantages. Graph types include stem-and-leaf plots, histogram, box-and-whisker, scatter plot, pie graph, line graph and column graph. This learning object is one in a series of seven objects. ...

Interactive resource

Scatter plots

Find out what a scatter plot is and how it can be used to investigate relationships between two variables. Analyse data for a pair of variables such as hand span and foot length. Enter your personal data and plot it with other data on a graph. Use a line of best fit to identify if there is a positive or negative relationship ...

Teacher resource

Determining the probability of a good day for sowing cotton

This activity is a series of three related tasks that support the use of spreadsheets (Excel), Venn diagrams and two-way tables to develop an understanding of conditional probability when used to determine the probability of a farmer being able to sow a cotton crop. The activity is, based on real historical soil and air ...

Teacher resource

Data representation and interpretation using scatterplots - teacher resource

This resource is a professional learning package designed for pre-service teachers. It demonstrates and investigates the interrelated content, pedagogy and technology knowledge used in a series of mathematics lessons that focus on looking for a relationship between two variables. The resource provides video footage of a ...

Collection

Analysing data using scatter plots

This is a collection of 18 digital curriculum resources that focus on how scatter plots are drawn and used to analyse the relationship between two continuous variables. The collection is organised into five sections: what this type of graph is used for; looking more closely at scatter plots; using scatter plots to describe ...

Interactive resource

Scatter plots: create your own data

Find out what a scatter plot is and how it can be used to investigate relationships between two variables. Gather and analyse data for a pair of variables such as hand span and foot length. Enter your data set and plot it on a graph. Use a line of best fit to identify if there is a positive or negative relationship between ...

Interactive resource

Scatter plots: about scatter plots

Find out what a scatter plot is and how it can be used to investigate relationships between two variables. Examine data for a pair of variables such as a person's height at the age of 2 and their height at the age of 22. Look at the data plotted on a graph. Notice how a line of best fit is used to identify if there is a ...

Interactive resource

Scatter plots: height and bellybutton height

Find out what a scatter plot is and how it can be used to investigate relationships between two variables. Analyse data for a pair of variables: a person's height and the height of their bellybutton measured from the floor. Enter your personal data and plot it with other data on a graph. Use a line of best fit to identify ...

Interactive resource

Scatter plots: foot length and hand span

Find out what a scatter plot is and how it can be used to investigate relationships between two variables. Analyse data for a pair of variables: hand span and foot length. Enter your personal data and plot it with other data on a graph. Use a line of best fit to identify if there is a positive or negative relationship between ...

Dataset

International migration database

This is a web resource consisting of a database showing the movement of the ‘migrant’ population, generally the foreign-born population, to and from each of the OECD countries. Data tables can be customised with options to view by country of origin of the migrants, or by the variable to be displayed, for example, asylum ...

Dataset

Emissions of air pollutants (thousand tonnes)

This is a web resource consisting of a database of selected information on human-made emissions of traditional air pollutants - sulphur oxides, nitrogen oxides, particulate matter, carbon monoxide and volatile organic compounds - in OECD countries, including Australia, between 1990 and 2012. The data table can be customised, ...

Teacher resource

Are airport taxi fares fair across Australian cities?

This conference paper describes the use of an open-ended mathematical investigation into the relationship between the cost of taxi fares to airports in a number of cities and the distance travelled. The investigation required groups of students to research suitable data, and then use scatterplots and linear regression to ...

Interactive resource

Scatter plots: age and reaction time

Find out what a scatter plot is and how it can be used to investigate relationships between two variables. Analyse data for a pair of variables: a person's age and the time it takes them to react to a signal. Enter your personal data and plot it with other data on a graph. Use a line of best fit to identify if there is ...

Dataset

Green growth indicators

This is a web resource consisting of a database of selected indicators for monitoring progress towards green growth in OECD countries, including Australia, and BRIICS economies - Brazil, Russian Federation, India, Indonesia, China and South Africa - from 1990 to 2012. The indicators are based on environmental and resource ...

Dataset

Sustainable agriculture: agri-environmental indicators

This is a web resource that provides a database of agri-environmental indicators for environmental performance of agriculture in OECD countries between 1990 and 2008. The data table can be customised, with options to view by country or by theme: land, energy, air, nutrients, soil, biodiversity, pesticides, water, farm management ...

Interactive resource

Scatter plots: age and reaction time [ESL]

Find out what a scatter plot is and how it can be used to investigate relationships between two variables. Analyse data for a pair of variables: a person's age and the time it takes them to react to a signal. Enter your personal data and plot it with other data on a graph. Use a line of best fit to identify if there is ...

Interactive resource

Scatter plots: foot length and hand span [ESL]

Find out what a scatter plot is and how it can be used to investigate relationships between two variables. Analyse data for a pair of variables: hand span and foot length. Enter your personal data and plot it with other data on a graph. Use a line of best fit to identify if there is a positive or negative relationship between ...

Interactive resource

Scatter plots: create your own data [ESL]

Find out what a scatter plot is and how it can be used to investigate relationships between two variables. Gather and analyse data for a pair of variables such as hand span and foot length. Enter your data set and plot it on a graph. Use a line of best fit to identify if there is a positive or negative relationship between ...

Interactive resource

Scatter plots: height and bellybutton height [ESL]

Find out what a scatter plot is and how it can be used to investigate relationships between two variables. Analyse data for a pair of variables: a person's height and the height of their bellybutton measured from the floor. Enter your personal data and plot it with other data on a graph. Use a line of best fit to identify ...