**Data**

## Australian national curriculum learning map

- Answer yes/no questions to collect information
- Choose simple questions and gather responses
- Represent data with objects and drawings where one object or drawing represents one data value.
- Describe the displays Identify a question of interest based on one categorical variable.
- Gather data relevant to the question
- Collect, check and classify data
- Create displays of data using lists, table and picture graphs and interpret them
- Identify questions or issues for categorical variables. Identify data sources and plan methods of data collection and recording
- Collect data, organise into categories and create displays using lists, tables, picture graphs and simple column graphs, with and without the use of digital technologies
- Interpret and compare data displays
- Select and trial methods for data collection, including survey questions and recording sheets
- Construct suitable data displays, with and without the use of digital technologies, from given or collected data.
- Include tables, column graphs and picture graphs where one picture can represent many data values
- Evaluate the effectiveness of different displays in illustrating data features including variability
- Pose questions and collect categorical or numerical data by observation or survey
- Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies
- Describe and interpret different data sets in context
- Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables
- Interpret secondary data presented in digital media and elsewhere
- Identify and investigate issues involving numerical data collected from primary and secondary sources
- Construct and compare a range of data displays including stem-and-leaf plots and dot plots
- Calculate mean, median, mode and range for sets of data.
- Interpret these statistics in the context of data
- Describe and interpret data displays using median, mean and range
- Explore the practicalities and implications of obtaining data through sampling using a variety of investigative processes
- Investigate the effect of individual data values , including outliers, on the mean and median
- Explore the variation of means and proportions in of random samples drawn from the same population
- Investigate techniques for collecting data, including census ,sampling and observation. Identify everyday questions and issues involving at least one numerical and at least one categorical variable, and collect data directly from secondary sources
- Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including ‘skewed’, ‘symmetric’ and ‘bi modal’
- Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread Investigate techniques for collecting data, including census, sampling and observation
- Determine quartiles and interquartile range
- Construct and interpret box plots and use them to compare data sets
- Compare shapes of box plots to corresponding histograms and dot plots
- Use scatter plots to investigate and comment on relationships between two numerical variables
- Investigate and describe bivariate numerical data where the independent variable is time
- Evaluate statistical reports in the media and other places by linking claims to displays, statistics and representative data
- Calculate and interpret the mean and standard deviation of data and use these to compare data sets
- Use information technologies to investigate bivariate numerical data sets. Where appropriate use a straight line to describe the relationship allowing for variation