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

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

Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data (ACMSP171)

Elaborations
  • understanding that summarising data by calculating measures of centre and spread can help make sense of the data
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Central tendency,  Range (Statistics)

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 ...

Interactive

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 ...

Online

Using ConCensus for mathematical enquiry

This teaching resource demonstrates ways in which real Australian Census data (in this case data from the 2011 Census placed into the ConCensus interactive) can be interpreted and analysed. Population data is presented both in numbers and as a percentage. The representations include data visualisations, graphs and tables. ...

Text

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 ...

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

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 ...

Online

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

Fish market

Buy and sell fish in trading markets in a range of Australian and New Zealand cities. Compare market prices, supply and demand. Get to know other traders to find the best deals and discover new markets. Find a rare fish. Maximise your profit and reputation as a smart trader. This learning object is the last in a series ...

Online

reSolve: Sports Salaries

This sequence of two lessons explores data sampling methods and measures of spread applied to a real world context of sporting teams. Students explore variation in the salaries of NBA players using real world data. They calculate means and medians, draw graphs, compare findings, and investigate the implications of obtaining ...

Online

Statistics and Probability - data representation and interpretation (Dairy Herd Data)

This is a teacher resource about investigating and interpreting data relating to dairy farm milk yields, and contains two work tasks including an extension task, data sets, student worksheets to assess learning, and background information. This resource, produced by Agrifood Skills Australia, is part of the Agriculture ...

Video

A mean trick

Learn a cool trick using the concept of the mean (or average). Pick any 3 x 3 block of dates on a monthly calendar. The number in the middle square is the mean of the nine numbers that form the 3 x 3 square. If you add all the numbers and divide the total by nine (the number of squares), the answer is the number in the ...

Image

Using a pedal wireless transmitter

This is a photograph, possibly taken by John Flynn (1880-1951) and measuring 8.2 cm x 8.2 cm, of an elderly woman seated at a pedal wireless transmitter with three girls behind her. There is no microphone but the woman is operating a morse key. The woman and one of the girls are wearing earphones. The words 'AIM Pedal Transmitter' ...

Online

reSolve: Monte Carlo Simulations

This sequence of two lessons explores how statistical techniques that rely on randomly generated data can be used to solve problems. In the first lesson, students compare different methods for calculating the area of an irregular shape, using the context of oil spill maps. They are introduced to the Monte Carlo method for ...

Image

Water molecule

This is a colour image of a model of a molecule of water, H₂O. In this model, atoms are represented by coloured spheres held together by grey rods, representing covalent bonds. The water molecule contains one oxygen atom (the red sphere) and two hydrogen atoms (the grey-white spheres).

Image

Bromine monofluoride molecule

This is a colour image of a model of a molecule of bromine monofluoride, BrF. In this model, atoms are represented by coloured spheres held together by grey rods, representing covalent bonds. The bromine monofluoride molecule contains one bromine atom (the brown sphere) and one fluorine atom (the blue-grey sphere).

Image

Ethanol molecule

This is a colour image of a model of a molecule of ethanol, CH₃CH₂OH. In this model, atoms are represented by coloured spheres held together by grey rods that represent covalent bonds. The molecule contains two carbon atoms (the black spheres), one oxygen atom (the red sphere) and six hydrogen atoms (the grey-white spheres).

Image

Hydrogen molecule

This is a colour image of a model of a molecule of hydrogen, H₂. In this model, two hydrogen atoms are represented by grey-white spheres held together by a grey rod that represents a covalent bond.

Image

Iodine molecule

This is a colour image of a model of a molecule of iodine, I₂. In this model, two iodine atoms are represented by deep red spheres held together by a grey rod that represents a covalent bond.

Image

Oxygen molecule

This is a colour image of a model of a molecule of oxygen, O₂. In this model, two oxygen atoms are represented by red spheres held together by grey rods that represent a double covalent bond.