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

Curriculum content descriptions

Describe and interpret data displays using median, mean and range (ACMSP172)

Elaborations
  • using mean and median to compare data sets and explaining how outliers may affect the comparison
  • locating mean, median and range on graphs and connecting them to real life
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Data representation,  Mean,  Median

Online

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 ...

Video

Can you guess the weight of Uluru?

What is the "wisdom of a crowd"? Mathematician Lily Serna investigates a mathematical phenomenon that suggests that if you have a large enough crowd, with a broad variety of people making estimates, then the mean (average) answer of the crowd will be accurate! Find out if a crowd can guess the weight of Uluru from the ground ...

Online

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 ...

Online

Humpback whales: what the data reveals

The lesson follows an inquiry process where students use the dataset to answer relevant questions about the whale population. They consider what other data they would need in order to effectively examine the impact on humpback whales of sonar activity and noise from development.

Downloadable

Statistics and probability: Foundation to Year 9

This comprehensive resource describes the progression of ideas that cover statistics and probability. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in chance and data including teaching and cultural implications.

Online

Acquire and record data: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Acquire and record data. Students develop a robust statistical vocabulary. This includes defining and distinguishing between discrete numerical and continuous numerical data. To illustrate the differences students should be asked to collect sets of data from their peers. ...

Downloadable

The humanoid project

Students explore a large data set.

Online

Solar energy installations

This lesson uses data about solar energy installations to investigate data analysis. The dataset shows how many solar systems were installed, in each postcode, from 2001 to 2016. It is a useful way to understand how to explore and characterise datasets as well as to explore the use of data in the media. This lesson was ...

Downloadable

Give it your best shot

Students calculate the mean, median and mode for sets of data and select the appropriate measure of centre.

Online

Represent collected data: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Represent collected data. Students expand their knowledge of numerical data displays. Students draw or use digital software, to create their graphs or charts. Give ample opportunities to practise drawing stem-and-leaf plots, especially choosing the correct stems. Then, ...

Video

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 ...

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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 ...

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The Lives of Presidents

This resource is a web page containing an investigative task that involves the analysis of data. Data about Presidents of the United States of America in the form of a spreadsheet is provided. Create your own questions for inquiry the sort the spreadsheet by relevant criteria. A 'Getting started' and 'Solutions' page ...

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Olympic Triathlon

This resource is a web page containing an investigative task that involves the analysis of data. Data from Olympic Triathlon in the form of a spreadsheet is provided. Sort the results in various ways, work out averages and measures of spread, or plot some graphs to test correlations between times for individual events ...

Online

Human landscapes – inquiry-based learning through Sydney Metro – Stage 4

This inquiry-based unit of work was created, trialled and peer reviewed as part of a professional learning program in inquiry-based learning for school teachers. The professional learning courses were part of a pilot partnership between the NSW Government’s Sydney Metro transport agency and Western Sydney University. Students ...

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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 ...

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Secondary mathematics: different representations

These seven learning activities, which focus on 'representations' 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 different representations ...

Online

reSolve: Modelling Motion - Year 7

This sequence of seven lessons challenges students to use simple equipment to predict, observe and represent motion. They create a series of graphs to represent motion and construct instruments to measure forces in one and then two dimensions. They interpret these representations to develop concepts of force and motion. ...

Online

Trade and Investment at a Glance

Using an illustrated report from the Department of Foreign Affairs and Trade, this Teacher guide provides ten learning sequences that engage students in the analysis and interpretation of data about Australian imports and exports. Students: identify Australia's major exports and imports; investigate international trade ...

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ACMF: Effects of selective breeding

This resource is a web page providing information about an experiment on the growth rate of different chicken breeds carried out by students at James Ruse Agricultural High School in NSW, which shows the influence of selective breeding on chicken weight. It includes a side-by-side column graph comparing the weight of egg ...