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# Matchbox machine: plot the variation

TLF ID L2339

Check whether a machine is packing most matchboxes with an acceptable number of matches (40–60 matches per box). Take a sample of 100 matchboxes and make a boxplot to analyse the results. Sort the sample data into four equal groups. Identify the range, median, first and third quartile values. Position the data points to build a boxplot. Take more samples and plot the variation by building a sequence of boxplots on a graph. Identify conclusions supported by the evidence. This learning object is the second in a series of two objects. The series is also packaged as a combined learning object.

#### Educational details

Key learning objectives
• Students identify the maximum, minimum, median, first and third quartiles from a set of data.
• Students construct and interpret boxplots.
Educational value
• Helps students to analyse sample variation by constructing and interpreting boxplots.
• Features automatic collation of sample results.
• Highlights maximum, median, quartile and minimum values in an array.
• Emphasises the importance of sorting data before analysis.
• Provides drill practice to reinforce the five-point summary needed to construct a boxplot.
• Demonstrates why some quartile values are not whole numbers.
• Tests understanding of data interpretation by getting students to restate conclusions.
Year level

10

Learning area
• mathematics
Strand
• Mathematics/Statistics and probability
Concept
• Mathematics/Summary statistics
• Mathematics/Surveys
• Mathematics/Sampling
• Mathematics/Statistics
• Mathematics/Data analysis
• Mathematics/Data collection
Skill
• Knowledge;
• Comprehension;
• Application;
• Analysis
Student activity
• Interactives;
• Analysis;
• Modelling;
• Data manipulation and interpretation
Learning design
• Experiential learning;
• Independent learning;
• Problem solving;
• Visual learning

#### Other details

Contributors
• Script writer
• Name: Michael Wagner
• Organisation: Godwin + Wagner
• Address: Box Hill South VIC 3128 Australia
• Subject matter expert
• Name: Sue Ferguson
• Organisation: Sue Ferguson Consulting Pty Ltd
• Address: Northcote VIC 3070 Australia
• Educational validator
• Name: Graham Jones
• Technical implementer
• Publisher
• Date of contribution: 20 Sep 2013
• Organisation: Education Services Australia
• Address: Melbourne VIC 3000 Australia
• URL: http://www.esa.edu.au/
Access profile
• Colour independence
• Device independence
• Hearing independence
Learning resource type
• Interactive Resource
Browsers
• Microsoft Internet Explorer - minimum version: 8.0 (MS-Windows) - maximum version: 9.0 (MS-Windows)
• Firefox - minimum version: (MS-Windows)
• Safari - minimum version: 5.1 (MacOS)
Operating systems
• MacOS - minimum version: 10.6
• MS-Windows - minimum version: XP - maximum version: 7
Rights
• © Education Services Australia Ltd, 2013, except where indicated under Acknowledgements.