- Describe and interpret data using the mean and median in skewed, symmetric and bi-modal displays.
- Construct histograms and back-to-back stem-and-leaf plots.
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Identify everyday questions and issues involving at least one numerical and at least one categorical variable, and collect data directly and from secondary sources.
Success Criteria 1
Calculate mean, median, mode and range from a set of numbers.
Tutorials
Competence Activities
Mathletics
SP Statistics > Mean
SP Statistics > Median
SP Statistics > Mode
Success Criteria 2
Calculate mean, median and mode from a frequency table.
Tutorials
Competence Activities
Mathletics
SP Statistics > Mean from Frequency Table
SP Statistics > Median from Frequency Table
SP Statistics > Mode from Frequency Table
Success Criteria 3
Interpret data from stem-leaf plots and calculate medians and modes.
Tutorials
Competence Activities
Mathletics
SP Statistics > Stem and Leaf Introduction
SP Statistics > Stem and Leaf Plots
SP Statistics > Median from Stem and Leaf Plots
SP Statistics > Mode from Stem and Leaf Plots
SP Statistics > Double Stem and Leaf Plots
Do the Mathletics SP Statistics Test.
Success Criteria 4
Display data in histograms and back-to-back stem-and-leaf plots.
Uses the shape of histograms and stem-leaf plots to describe data as being skewed, symmetric or bimodal.
Here is an example of a back-to-back stem-and-leaf plot and back-to-back histogram.
Watch the 4 minute video tutorial to see how to use Excel to analyse and double-check your results.
Success Criteria 5
Describes the shape of histograms and stem-leaf using correct statistical language (e.g. negatively or positively skewed, symmetric, bimodal). Explains the relationship between the mean and the median.
For more help, see the Statistics Definitions and Explanations 1 Handout.
Success Criteria 6
Uses precise statistical language in the description of data displays (e.g. negatively or positively skewed, symmetric, bimodal, clusters, more or less dense, gaps). Explains the impact of each on the measures of location (mean, median, mode) and spread (range, inter-quartile range).
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