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

Curriculum content descriptions

Construct and compare a range of data displays including stem-and-leaf plots and dot plots (ACMSP170)

Elaborations
  • understanding that some data representations are more appropriate than others for particular data sets, and answering questions about those data sets
  • using ordered stem-and-leaf plots to record and display numerical data collected in a class investigation, such as constructing a class plot of height in centimetres on a shared stem-and-leaf plot for which the stems 12, 13, 14, 15, 16 and 17 have been produced
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Stem and leaf plots,  Dot plots

Online

Australian reported crime victims since 2010 - dataset

This is a dataset that provides statistics about crimes reported by victims from 2010 to the latest year of available data. It is periodically updated by the Australian Bureau of Statistics (ABS). The dataset is in MS Excel format.

Online

Australian Historical Population Statistics to 2014 - dataset

The dataset provides statistics about the population of Australia in terms of age and sex from 1901 to 2014. It is made available by the Australian Bureau of Statistics (ABS). The dataset is in MS Excel format.

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

Give it your best shot

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

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

The humanoid project

Students explore a large data set.

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, ...

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Work sample Year 7 Mathematics: Investigations

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 7 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

Video

What are pixels?

Meet Kevin Systrom and Piper Hanson as they explain how digital images work. What are pixels, those tiny dots of light, made from? How are colours created and represented? What does Kevin say about the way mathematical functions are used to create different image filters. What is the difference between image resolution ...

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 ...

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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 ...

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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 ...

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

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 ...