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

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
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

Collection

Data - Years 7 to 9

The 12 learning objects in this collection relate to the use, collection, display, comparison and interpretation of data. Objects in the first category, statistical data graphs, enable students to explore data using a range of graphical analysis tools. Objects in the second category, analysing surveys, enable students to ...

Teacher resource

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 ...

Teacher resource

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 ...

Moving Image

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 ...

Interactive resource

Stem-and-leaf graphs: an introduction

Find out what a stem-and-leaf graph is. Find out what a back-to-back stem-and-leaf graph is. Work through this tutorial to understand the features of stem-and-leaf graphs, and how they are used to display and to compare two data sets. Observe how the mean and median of the data sets can be used to interpret information. ...

Teacher resource

A mathematical focus on 'Choose your own statistics'

This teaching resource demonstrates ways in which real data can be interpreted and analysed. It is based on the interactive learning resource Choose your own statistics, in which data is presented as infographics, graphical representations and tables. The focus of the supporting teaching and learning activities is on analysing ...

Interactive resource

Stem-and-leaf graphs: height

Are 13-year-old boys taller than 13-year-old girls? Display the data in a back-to-back stem-and-leaf graph to investigate the truth of this conjecture. Identify the median for girls and boys and use the two means to help draw a conclusion about this question. Use the tutorial to show the features and uses of stem-and-leaf ...

Interactive resource

Stem-and-leaf graphs

Find out what a stem-and-leaf graph is and use it to investigate the truth about different conjectures. Work through a tutorial about stem-and-leaf graphs, and then choose an investigation from a set of three. Enter your own data in some investigations. For example, test the reaction time of your preferred hand against ...

Interactive resource

Exploring measures of central tendency

Examine the mean and median values for a data set recording emergency response times. Predict changes to the mean and median as new results are added.

Interactive resource

Stem-and-leaf graphs: reaction time

Do right-handed students have faster reaction times than left-handed students? Display the given data, including your own time, in a back-to-back stem-and-leaf graph to investigate the answer to this question. Identify the median for left- and right-handed students and use the two means to help you draw a conclusion about ...

Interactive resource

Data handler

Help plan your school sports day by ordering special T-shirts and socks, and organising buses for all the students. Plot raw data on a dot plot and then group that data according to three criteria or 'rules' to decide on suitable sizes and numbers of T-shirts and socks to order in each group, and to decide the minimum number ...

Teacher resource

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 ...

Interactive resource

Skateboard survey

Explore how the height of skateboard ramps is related to kids' heights. Choose questions to ask in a survey. Choose a sample size to suit a budget and margin of error. Examine a table of results. Sort the data and use it to answer questions. Display the results using a boxplot. Identify conclusions supported by the evidence. ...

Dataset

Australia's population: countries of birth - dataset

The dataset provides statistics about the estimated resident population, median age and sex ratio by countries of birth for the latest year of available data. It is periodically updated by the Australian Bureau of Statistics (ABS). The dataset is included in the list of related datasets on the page in MS Excel format.

Interactive resource

Healthy life survey: staying active

Explore why kids like to play sport. Choose questions to ask in a survey. For example, look at whether kids come from a sporty family, have friends that play or have a great coach. Examine a table of results. Sort the data and use it to answer questions. Display the results using a suitable type of graph such as a pie chart, ...

Teacher resource

Starting Smart: how can we collect and organise data?

This curriculum resource package is a ten-week teaching plan and set of supporting resources for years 5, 6 and 7, focusing on reviewing students' knowledge and understanding of data-handling processes and extending their skills to more formal representation and analysis of data. In particular, students explore the differences ...

Interactive Resource

Choose your own statistics

Explore the way in which statistics are presented using a wide range of graphs types for ten topics related to human rights. Customise and publish graphs and download data to a spreadsheet program such as Excel to enable further exploration.

Interactive resource

Neighbourhood fractions

Help a town planner to design site plans. Assign regions on a 10x20 grid for different uses. Calculate the percentage and the fraction of the total site used for each region. Use a number line to display fractions and equivalent decimals. Design site plans for a: 1. Neighbourhood; 2. City; 3. Farm. This learning object ...

Interactive Resource

ConCensus

Bring Australian statistics to life with ConCensus – a data visualisation game which allows you to interact with real data from the Australian Bureau of Statistics 2011 Census. ConCensus presents population data as numbers, as a percentage and as representations such as data visualisations, graphs and tables. Use data from ...

Interactive Resource

The Numberline

An interactive tool that can help students explore a number line, including points representing integers, fractions and decimals