Test dice to see if they have been weighted (loaded) to favour one of the six numbers. Explore how many rolls are needed for you to be reasonably sure of a conclusion. Compare the shape of theoretical data distributions with experimental results. This learning object is one in a series of 11 objects.
Key learning objectives
- Students collect and handle data about random events to test conjectures about variation and bias.
- Students interpret frequency graphs to compare experimental results with theoretical probabilities.
- Students compare the shape of theoretical and experimentally derived data distributions in situations where there is bias.
- Students relate the shape of data distributions to statements about sample variation, sample size, and bias.
- Provides scenarios for students to use dice as a means to explore relationships between bias, proportions, sample size, random variation, and even statistical distributions.
- Demonstrates that conclusions based on small sample sizes can be incorrect due to random variation.
- Automatically collates experimental results and displays them as frequency graphs.