# Dice duels: find the bias [ESL]

TLF ID L10154

A dice has been weighted (loaded) to favour one of the six numbers. Roll the dice to work out which is the favoured face. Explore how many rolls are needed to be reasonably sure of a conclusion. Look at demonstrations of the mathematical principles of bias. Compare the shape of theoretical data distributions with experimental results.

#### Educational details

Key learning objectives
• Students collect and handle data about random events to test conjectures about variation and bias.
• Students interpret frequency graphs to compare experimental results with theoretical probabilities.
• Students compare the shape of theoretical and experimentally derived data distributions in situations where there is bias.
• Students relate the shape of data distributions to statements about sample variation, sample size and bias.
Educational value
• Students use dice to explore relationships between bias, proportions, sample size, random variation and statistical distributions.
• Demonstrates that conclusions based on small sample sizes can be wrong due to random variation.
• Includes scenarios involving a range of even and uneven distributions.
• On-screen tutorials introduce students to mathematical ideas underpinning bias in even and uneven distributions.
• Experimental results are automatically collated and displayed as frequency graphs.
• Features modified language for English as a Second Language users.
• Includes a glossary of terms used in the activity.
Year level

6

Learning area
• mathematics
Strand
• Mathematics/Statistics and probability
Concept
• Mathematics/Probability
• Mathematics/Data interpretation
• Mathematics/Bias
• Mathematics/Conjectures
• Mathematics/Investigation
• Mathematics/Graphs
• Mathematics/Experiments
• Mathematics/Random events
• Mathematics/Sampling
• Mathematics/Statistics
Skill
• Analysis;
• Application;
• Comprehension;
• Knowledge
Student activity
• Interactives;
• Experiment;
• Estimation;
• Analysis;
• Modelling
Learning design
• Experiential learning;
• Independent learning;
• Problem solving;
• Visual learning

#### Other details

Contributors
• Technical implementer
• Script writer
• Name: Erica Dale
• Organisation: Tungaroo Software
• Address: Manly NSW 2095 Australia
• Subject matter expert
• Name: Howard Reeves
• Address: Lindisfarne TAS 7095 Australia
• Educational validator
• Name: Graham Jones
• Publisher
• Date of contribution: 20 Sep 2013
• Organisation: Education Services Australia
• Address: Melbourne VIC 3000 Australia
• URL: http://www.esa.edu.au/
• Technical implementer
• Subject matter expert
• Name: Warwick Mears
• Educational validator
Access profile
• Colour independence
• Device independence
• Hearing independence
• Generic
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
Platform requirements
• This object may not display correctly on the Mac OS X platform in Safari unless viewed with Flash 9 Player 9, 0, 24 (for Safari). Use of earlier increments of the Flash 9 Player may result in playback issues on both PowerPC and Intel based hardware. Indications of an incompatible player are looping and/or flashing animations which are likely to relate to flawed interaction with the API or rendering engine Due to the use of rich media content, this learning object is suitable for a connection speed of 256 kbit/s or faster.
Rights
• © Education Services Australia Ltd, 2013, except where indicated under Acknowledgements.

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