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Mathematics / Year 7 / Statistics and Probability / Data representation and interpretation

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

Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data (ACMSP171)

  • understanding that summarising data by calculating measures of centre and spread can help make sense of the data
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Central tendency,  Range (Statistics)

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Year level 7-8
Resource type
Learning area Mathematics
Moving Image

Mean, median and mode

This resource is a video demonstration, with audio commentary, about calculating the mean, median and mode of a data set. The meaning of each of the terms - mean, median and mode - is explained and the difference between them is clarified. The resource explains the process and demonstrates a handwritten method for calculating ...

Interactive resource

Exploring measures of central tendency

Examine the mean and median values for a data set recording emergency response times. Predict changes to the mean and median as new results are added.

Interactive Resource


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

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 ...


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

ReSolve: What's In A Name

This sequence of two lessons examines trends in the names of students in the class, as well as trends in popular names from 2017 and 1957. Students explore data associated with these names and decide whether the mean, median or mode might be a suitable measure of central tendency. They develop their skills with spreadsheets ...


BBC Bitesize: measures of average - revision

This is a set of illustrated information sheets that revise ideas about the statistical measures mean, mode, median and range. The methods of calculation are explained and the measures are used to demonstrate their usefulness in representing data sets. Examples with answers are included and students have access to a multiple-choice ...

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. ...

Interactive resource

Stem-and-leaf graphs: an introduction

Find out what a stem-and-leaf graph is. Find out what a back-to-back stem-and-leaf graph is. Work through this tutorial to understand the features of stem-and-leaf graphs, and how they are used to display and to compare two data sets. Observe how the mean and median of the data sets can be used to interpret information. ...

Interactive resource

Stem-and-leaf graphs

Find out what a stem-and-leaf graph is and use it to investigate the truth about different conjectures. Work through a tutorial about stem-and-leaf graphs, and then choose an investigation from a set of three. Enter your own data in some investigations. For example, test the reaction time of your preferred hand against ...

Interactive resource

Stem-and-leaf graphs: height

Are 13-year-old boys taller than 13-year-old girls? Display the data in a back-to-back stem-and-leaf graph to investigate the truth of this conjecture. Identify the median for girls and boys and use the two means to help draw a conclusion about this question. Use the tutorial to show the features and uses of stem-and-leaf ...

Interactive resource

Stem-and-leaf graphs: reaction time

Do right-handed students have faster reaction times than left-handed students? Display the given data, including your own time, in a back-to-back stem-and-leaf graph to investigate the answer to this question. Identify the median for left- and right-handed students and use the two means to help you draw a conclusion about ...


Australia's population: countries of birth - dataset

The dataset provides statistics about the estimated resident population, median age and sex ratio by countries of birth for the latest year of available data. It is periodically updated by the Australian Bureau of Statistics (ABS). The dataset is included in the list of related datasets on the page in MS Excel format.


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 ...

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 ...

Interactive resource

Stem-and-leaf graphs: preferred hand speed

Are reaction times using a person’s preferred hand faster than using the non-preferred hand? Display the given data, including your own time, in a back-to-back stem-and-leaf graph to investigate the answer to this question. Identify the median for preferred and non-preferred hands and use the two means to draw a conclusion ...

Teacher resource

Building informal inference with TinkerPlots in a measurement context

This professional article describes how to develop informal inference through a series of four mathematical activities about body measurements. Students develop an understanding of the significance of accuracy in measurement, the suitability of different measures of centre, the effects of outliers and arriving at sensible ...