# Random or not: analyse runs of jubes (1:1)

TLF ID L3664

Test a machine that randomly packages two types of fruit jubes: kookaburra and kiwi. Notice that each jube type is equally likely to be produced within a packet of 12 jubes. Look at patterns in sequences of jube types such as 3 kiwi jubes occurring in a row. Analyse the results of large samples. Compare the longest runs of any jube type. Identify the longest run most likely to occur in a packet. This learning object is one in a series of 17 objects.

#### Educational details

Key learning objectives
• Students analyse data about random events to test conjectures about variation.
• Students interpret frequency graphs to compare experimental results with theoretical probabilities.
• Students compare the shape of theoretical and experimentally derived data distributions.
• Students relate the shape of data distributions to statements about sample variation and sample size.
Educational value
• Provides sampling scenarios for students to explore relationships between proportions, sample size, uneven distributions and random variation.
• Demonstrates that conclusions based on small sample sizes can be wrong due to random variation.
• Automatically collates experimental results and displays them as frequency graphs.
Year level

7

Learning area
• mathematics
Strand
• Mathematics/Statistics and probability
Concept
• Mathematics/Investigation
• Mathematics/Graphs
• Mathematics/Experiments
• Mathematics/Random events
• Mathematics/Sampling
• Mathematics/Statistics
• Mathematics/Data interpretation
• Mathematics/Conjectures
• Mathematics/Number patterns
• Mathematics/Probability
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 7015 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/
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.

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