# Dice duels: tools

## Description

Explore numbers generated by a set of five dice, each having up to 12 faces. Choose how to combine the numbers rolled: add, subtract, or multiply. Use the tool to run up to 9999 trials and graph the results. Find out whether some numbers come up more often than others. 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 wrong due to random variation.
• Introduces mathematical ideas underpinning uneven distributions via an on-screen tutorial.
• Includes a flexible tool enabling a range of even and uneven distributions.
• Automatically collates experimental results and displays them as frequency graphs.
• Tests understanding of key concepts through a series of multiple-choice questions.