Random or not: open investigations

Learning Material, Learning Guide, Learning Module  |  Interactive Lesson  |  RAR

Published on 2018 July 26th

Test a machine that randomly packages two or three types of fruit jubes: penguin, fish and frog. Choose the ratio that each jube type is likely to be produced within a packet of 12 jubes. For example, choose a 2:1 ratio so that penguin jubes are twice as likely to be produced as fish jubes. Look at numbers of the most common jube type, patterns in sequences of one jube type or alternating sequences of jube types. For example, look at patterns such as penguin, fish, penguin, fish (alternating run of 4). Analyse the results of large samples. Compare the numbers of the most common jubes or longest runs of jube types. Identify the most likely number of the most commonly occurring jube type or the longest run most likely to occur in a packet. This learning object is one in a series of 17 objects.
1. Students observe and analyse data about random events to test conjectures about variation.
2. Students interpret frequency graphs illustrating experimental results.
3. Students observe the shape of experimentally derived data distributions.
4. Students relate the shape of data distributions to statements about sample variation and sample size.

Curriculum Information

K to 12
Grade 7, Grade 8, Grade 9, Grade 5, Grade 6, Grade 10
Statistics and Probability Statistics and probability
Learners, Students

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