Random or not: analyse runs of jubes 1:1:1

## Description

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.

## 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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