Stem-and-Leaf Comparison
| Grade | Work Samples |
|---|---|
| End of Stage 4 (end of Year 8) | |
| Grade B | Riley Terry Huong Bailey Casey |
| Grade C | Sam Jo Dale Shane Reese Kendall Bobby Chris |
| Grade D | Frances Courtney |
| Grade E | Ricky Shannon |
Description of activity
Students calculate the mean, median and range for a set of scores displayed in a stem-and-leaf plot, and explain how they were obtained. They then compare two sets of data, make conclusions regarding the relative performances represented, and discuss the effect of ‘outliers’.
Suggested materials
Worksheet, calculator and pens/pencils
Context
Students have found measures of location (mean, median) and range and have used these to analyse data displayed in a stem-and-leaf plot.
Areas for Assessment
Outcomes
Data Representation (DS4.1)
Constructs, reads and interprets graphs, tables, charts and statistical information
Data Analysis and Evaluation (DS4.2)
Collects statistical data using either a census or a sample, and analyses data using measures of location and range
Questioning (WMS4.1)
Asks questions that could be explored using mathematics in relation to Stage 4 content
Applying Strategies (WMS4.2)
Analyses a mathematical or real-life situation, solving problems using technology where appropriate
Communicating (WMS4.3)
Uses mathematical terminology and notation, algebraic symbols, diagrams, text and tables to communicate mathematical ideas
Reasoning (WMS4.4)
Identifies relationships and the strengths and weaknesses of different strategies and solutions, giving reasons
Reflecting (WMS4.5)
Links mathematical ideas and makes connections with, and generalisations about, existing knowledge and understanding in relation to Stage 4 content
Criteria for assessing learning
Students will be assessed on their ability to:
- calculate the mean, median and range for a set of scores from a stem-and-leaf plot
- draw conclusions based on analysis of the data
- recognise the effect of outliers on the mean, median and range.