Mathematics / Year 8 / Statistics and Probability / Data representation and interpretation

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

Explore the variation of means and proportions of random samples drawn from the same population (ACMSP293)

Elaborations
  • using sample properties to predict characteristics of the population
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Measures of spread,  Mean

Interactive resource

HOTmaths: exploring relative frequency

Play a laughing clown game to explore randomness. Use the data to calculate relative frequencies. Explore if it is possible to bias the results and hence make the game non-random.

Interactive resource

HOTmaths: using relative frequency

Watch marbles fall from a tube, bounce through some obstacles and land in a slot. Calculate the relative frequencies for the bins the marbles land in. Explore the length of trials (number of marbles) required to predict the relative frequency for each bin.

Collection

Data - Years 7 to 9

The 12 learning objects in this collection relate to the use, collection, display, comparison and interpretation of data. Objects in the first category, statistical data graphs, enable students to explore data using a range of graphical analysis tools. Objects in the second category, analysing surveys, enable students to ...

Interactive Resource

ConCensus

Bring Australian statistics to life with ConCensus – a data visualisation game which allows you to interact with real data from the Australian Bureau of Statistics 2011 Census. ConCensus presents population data as numbers, as a percentage and as representations such as data visualisations, graphs and tables. Use data from ...

Teacher resource

Secondary mathematics: using real data

These seven learning activities, which focus on the use of 'real data' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use the three content strands ...

Text

About Average

This resource is a web page containing a set of questions about mean, median and mode. Rather than work out the mean, median and mode from a data set, these questions require students to apply their understanding and reasoning to work out the answer. A 'Solution' is also available to support the task. This resource is an ...

Teacher resource

Life expectancy PowerPoint

This teacher resource is a PowerPoint presentation designed to address common student misunderstandings about life expectancy. It emphasises that life expectancy is an average, that most people live for much longer or shorter than their life expectancy and that, when life expectancy is low, it is mostly because of a very ...

Teacher resource

Statistics and Probability - data representation and interpretation (Dairy Herd Data)

This is a teacher resource about investigating and interpreting data relating to dairy farm milk yields, and contains two work tasks including an extension task, data sets, student worksheets to assess learning, and background information. This resource, produced by Agrifood Skills Australia, is part of the Agriculture ...

Teacher resource

Using ConCensus for mathematical enquiry

This teaching resource demonstrates ways in which real Australian Census data (in this case data from the 2011 Census placed into the ConCensus interactive) can be interpreted and analysed. Population data is presented both in numbers and as a percentage. The representations include data visualisations, graphs and tables. ...

Teacher resource

Sampling from a population

This is a website designed for both teachers and students that refers to sampling from a population and taking a census from the Australian Curriculum for year 8 students. It contains material on cross-sections of sampling and how the means and proportions of samples vary. There are pages for both teachers and students. ...