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

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, ...

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

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.

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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 ...

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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, ...

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

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

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 ...

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

Graphs: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Graphs. Students are introduced to the four-quadrant Cartesian plane. The format of the coordinates should be explained and demonstrated; coordinates do not have to be an integer value.

Online

Number sequence: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Number sequence. Students extend their understanding of equivalence of fraction with visual representations such as a number line that extends beyond zero; concrete materials; and common multiples and fraction walls. Students learn to work with equivalence and explore ...

Online

Creating my own spreadsheet to convert binary to decimal

A spreadsheet can be used to do calculations quickly using formulas. How can we make a spreadsheet that converts a binary number to a decimal number? This lesson provides some guidance and Excel files for student and teacher use.

Online

Conduct statistical investigations: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Conduct statistical investigations. Student have been learning about measures of spread in terms of mean, median, mode and range. They use these values to interpret data and data displays. They are familiar with statistical terminology and are ready to conduct their ...

Online

Practical numbers: Part 1

In this lesson, students explore standardised measuring systems. They encounter the challenge of a shopkeeper who must determine how to weigh different quantities of spices most efficiently. Working in a financial context, students model this scenario using fractions, percentages and ratios, and communicate their solution ...

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7N01A Integers - Ochre Education

This unit of work focuses on integers. Students define, represent integers on number lines and Cartesian planes using a variety of scales on the axes, compare and order, add and subtract integers; evaluate expressions involving combinations of addition and subtraction of integers, including the use of brackets and consideration ...

Video

Farm Diaries: producer video

This is a video about pig production at the Tintinara property of the Mount Boothby Pastoral Company in South Australia. Pigs at various stages are shown, including nursing piglets, weaned piglets weighing between 7 and 10k, and pigs close to a live weight of 100k. Pig producer Alastair Johnson gives statistics about the ...

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 ...