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 ...

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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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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.

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

The humanoid project

Students explore a large data set.

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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 ...

Downloadable

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 ...

Video

MathXplosion, Ep 33: On the grid

Explore graphs, grids and mapping with a focus on reading and writing location data using coordinate geometry. Grids and maps illustrate the concepts of parallel/perpendicular lines (axes or labelled number lines), ordered pairs and intersection points.

Interactive

Syllabus Bites: Graphing direct proportion

This is the third in a series of Syllabus Bites related to direct and indirect proportion. Students draw graphs to represent relationships between variables in direct proportion. They associate the gradient of the graph with the constant of proportionality. They investigate practical contexts that give rise to direct proportion.

Interactive

Syllabus bites: Using Venn diagrams to solve problems

Worked examples and guided exercises to assist students learning to use Venn diagrams as an organiser for solving mathematical problems.

Video

ABC News: Getting your facts straight about water use

We hear a lot about water use in Australia. What are the real statistics about water use? What is the breakdown of water use for different groups across Australia? Watch this clip to find out who uses water and how much, and consider the value of water and the 'return' on this use for the Australian economy. The figures ...

Interactive

Syllabus bites: More Venn diagrams

An interactive exploration of Venn diagrams with three attributes.

Interactive

Syllabus bites: Introducing Venn diagrams

An interactive resource in which students explore, interpret and draw Venn diagrams with two attributes.

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 ...

Interactive

Waste and materials – sustainability action process (Years 7–10)

This resource guides students through an extended school-based or local investigation focussed on waste and materials using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...

Interactive

Water use and efficiency – sustainability action process (Years 7–10)

This resource guides students through an extended school-based or local investigation focussed on water use and efficiency using the five step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...

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TIMES Module 2: Statistics and Probability: data investigation and interpretation, year 7 - teacher guide

This is a 13-page guide for teachers. In this module, in the context of statistical data investigations, we build on the content of year 5 on measurement data and count data with many different observed values of counts. Because these data types are quantitative, investigation and interpretation include considerations of ...

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Introduction to algebra

This is a website designed for both teachers and students that addresses the introduction of algebra. It is particularly relevant for introducing the idea of the use of a variable as a way of representing numbers. There are pages for both teachers and students. The student pages contain interactive questions for students ...

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Equivalent fractions and the use of the number line

This is a website designed for both teachers and students that addresses equivalent fractions from the Australian Curriculum for year 7 students. It contains material on equivalent fractions, and explains how equivalence can be demonstrated on the number line. There are pages for both teachers and students. The student ...

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Using algebra tiles to solve equations

In this lesson, students use algebra tiles to solve one-variable linear equations involving multiplication and division, applying these skills in real-world contexts to enhance their understanding.