Dot Plots and Stem-and-Leaf Plots - Progression Points

Dimension

Level

Progression Point

Measurement, chance and data

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

• Sorting of data using technology

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).

They calculate and interpret measures of centrality (mean, median, and mode) and data spread (range).

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.

They calculate summary statistics for measures of centre (mean, median, mode) and spread (range, and mean absolute difference), and make simple inferences based on this data.

5.5

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

6.0 Standard

… Students calculate summary statistics for centrality (mode, median and mean), spread (box plot, inter-quartile range, outliers) and association (by-eye estimation of the line of best fit from a scatter plot).

Working Mathematically

3.5

• Incorporation of text, data, images and graphs using technology, to report the results of an investigation

4.75

• Communication of the results of a mathematical investigation in an appropriate form