Measurement, chance and data - Choosing graphical displays: 3.75

Dimension

Level

Progression Point

Measurement, chance and data

0.5

• Interpretation of pictographs, and collection and sorting of items or data in preparation for the creation of a pictograph

1.0 Standard

… Students collect and display data related to their own activities using simple pictographs.

1.5

• Interpretation of pictographs, bar and column graphs

1.75

• Collection and recording of categorical and numerical data

2.0 Standard

… Students collect simple categorical and numerical data (count of frequency) and present this data using pictographs and simple bar graphs.

2.25

• Displays of data as a column or bar graph

2.5

• Construction of an appropriately labelled bar graph

3.0 Standard

… Students recognise different types of data: non-numerical (categories), separate numbers (discrete), or points on an unbroken number line (continuous).

They use a column or bar graph to display the results of an experiment (for example, the frequencies of possible categories).

3.5

• Design of questionnaires to obtain data from a sample of the population

3.75

• Interpretation of pie charts and histograms

4.0 Standard

… Students recognise and give consideration to different data types in forming questionnaires and sampling.

They distinguish between categorical and numerical data and classify numerical data as discrete (from counting) or continuous (from measurement).

They present data in appropriate displays (for example, a pie chart for eye colour data and a histogram for grouped data of student heights).

4.5

• Construction of dot plots, and stem and leaf plots to represent data sets

4.75

• Display and interpretation of dot plots, and stem and leaf plots, including reference to mean, median and mode as measures of centre

5.0 Standard

… Students organise, tabulate and display discrete and continuous data (grouped and ungrouped) using technology for larger data sets

They represent uni-variate data in appropriate graphical forms including dot plots, stem and leaf plots, column graphs, bar charts and histograms.

5.25

• Representation of statistical data using technology

5.5

• Display of data as a box plot including calculation of quartiles and inter-quartile range and the identification of outliers