Learning objects Random or not: analyse runs of jubes (1:1:1)

TLF ID L3663

Test a machine that randomly packages three types of fruit jubes: kookaburra, koala 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 koala 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

6

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
    • Address: Broadbeach QLD 4218 Australia
    • 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.