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# Fix the matchbox machine: scoop size

TLF ID L2336

Check whether a machine is packing most matchboxes with an acceptable number of matches (40–60 matches per box). Look at boxplots made after taking samples of 100 matchboxes. Analyse the data and identify whether results are within the tolerance range. Adjust the machine's scoop size (if needed) to make it work correctly. Interpret boxplots made from new samples. Notice that the scoop size affects the median. This learning object is one in a series of two objects. The series is also packaged as a combined learning object.

#### Educational details

Key learning objectives
• Students interpret boxplots to identify whether quality control parameters are within a tolerance range.
• Students explore how the shape of boxplots is affected by adjusting a variable.
Educational value
• Helps students to relate boxplots to variation between samples.
• Features automatic construction of boxplots.
• Highlights maximum, median, minimum, first and third quartile values on a boxplot.
• Illustrates how a tolerance range is tested in quality management.
• Tests data interpretation by getting students to restate conclusions.
• Emphasises the importance of minimum sample size.
• Supports repeated use by randomly generating values for variables.
Year level

10

Learning area
• mathematics
Strand
• Mathematics/Statistics and probability
Concept
• Mathematics/Data analysis
• Mathematics/Data collection
• Mathematics/Graphs
• Mathematics/Variation
• Mathematics/Summary statistics
• Mathematics/Sample size
• Mathematics/Sampling
• Mathematics/Statistics
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.