Dice duels: uneven distribution

Description

Play a dice game with 11 counters. Try to predict the best positions for the counters before the game starts. Add the numbers on a pair of dice to determine results. Find out whether some numbers come up more often than others. Explore the shape of the results graph. 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 statistical variation.
• Students interpret frequency graphs to compare experimental results with theoretical probabilities.
• Students distinguish between even and uneven distributions.
• Students compare the shape of theoretical and experimentally derived data distributions.

Educational value

• Provides scenarios for students to use dice as a means to explore relationships between random variation and statistical distributions.
• Demonstrates that conclusions based on small sample sizes can be incorrect due to random variation.
• Introduces mathematical ideas underpinning uneven distributions via an on-screen tutorial.
• Includes a game scenario involving an uneven distribution.
• Automatically collates experimental results and displays them as frequency graphs.
• Tests understanding of key concepts through a series of multiple-choice questions.