Test a machine that randomly packages two types of fruit jubes: penguin or frog. Notice that each jube type is equally likely to be produced within a packet of 12 jubes. Look at patterns in numbers of jube types, such as 5 penguins and 7 frogs (the most common in a sample). Manually choose jube types for a new packet. Explore the number of the most commonly occurring jube type. Compare the results from larger random samples. Identify whether the number of the most commonly occurring jube type in the manually produced packet is similar to the number most likely to occur in a randomly produced packet. This learning object is one in a series of 17 objects.
Objective
1. Students analyse data about random events to test conjectures about variation.
2. Students interpret frequency graphs to compare experimental results with theoretical probabilities.
3. Students compare the shape of theoretical and experimentally derived data distributions.
4. Students relate the shape of data distributions to statements about sample variation and sample size.
