Dice duels: bike race

## Description

Race bikes along a track. Try to pick a winner before the races start. Add the numbers on a pair of dice to determine which bike moves. Explore how many rolls are needed to complete a race. Work out the least and greatest number of rolls possible for two track lengths. Look at larger samples of race results. 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 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 and sample size.
• Students distinguish between even and uneven data distributions.

## Educational value

• Provides scenarios for students to use dice as a means to explore relationships between sample size, 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 scenarios involving uneven distributions.
• Automatically collates experimental results and displays them as frequency graphs.

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