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Random or not: analyse alternating jubes 2:1

Description

Test a machine that randomly packages two types of fruit jubes: kookaburra and koala. Notice that koala jubes are twice as likely to be produced within a packet of 12 jubes. Look at patterns in sequences of jube types such as koala, kookaburra, koala, kookaburra, koala (run of five). Analyse the results of large samples. Compare the longest runs of alternating jube types. Identify the longest run most likely to occur in a packet. This learning object is one in a series of 17 objects.

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.


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