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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

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

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 ...

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Water games

In this set of learning activities, students explore the question 'What process can be designed that will change people's habits towards water saving and result in reducing demand?' The module includes a comprehensive teacher guide, curriculum links, materials lists, design process guides and printable student resource ...

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7St02A Data analysis - Ochre Education

This six lesson unit of work focuses on data analysis. Students determine the mode of categorical data sets including writing its percentage frequency; define and determine the mean, median, mode, and range for provided and acquired numerical data sets; describe displays of numerical data in terms of the shape, centre, ...

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Sleepy statistics: Analysis: Part 2

In this second of two lessons, students represent their acquired sleep data using a back-to-back stem-and-leaf plot and draw conclusions based on statistical analysis.

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Sleepy statistics: Part 1

Students conduct a sleep audit over two weeks to test hypotheses regarding improving sleep quality.

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7St01A Data classification and visualisation - Ochre Education

This unit of work focuses on data visualisation. Students define and classify data and variables as categorical (nominal or ordinal) or numerical (discrete or continuous); create displays for categorical data including column graphs and pictograms; create displays of numerical data including dot plots, stem-and-leaf plots, ...

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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 ...

Downloadable

The humanoid project

Students explore a large data set.

Downloadable

Give it your best shot

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

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

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 ...

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.

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. ...

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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Climate calculations

In this set of learning activities, students use science, technologies and mathematics to explore climate change and to develop approaches that communities might implement to adapt to climate change. The module includes a comprehensive teacher guide, curriculum links, materials lists, design process guides and printable ...

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7A02A Equations - Ochre Education

This seven lesson unit of work focuses on equations. Students write algebraic equations from worded descriptions and identify solutions by inspection using addition and multiplication facts, apply numerical and arithmetic operations to numerical and algebraic equations, solve and verify solutions to equations, describe ...

Interactive

Syllabus bites: More Venn diagrams

An interactive exploration of Venn diagrams with three attributes.

Online

TIMES Module 18: Number and Algebra: decimals and percentages - teacher guide

This is a 21-page guide for teachers containing an introduction to decimals and percentages. It shows how place value is extended to describe positive numbers less than one. It also explores how to represent decimals on the number line, compare decimals, undertake the four basic arithmetic operations with decimals and change ...