Galton Board App 1.6

Unlock the power of probabilities and explore the beauty of mathematics in motion with the Galton Board App. This innovative application transforms your mobile device into a dynamic, interactive probability demonstrator that brings centuries-old mathematical concepts to life. The app utilizes your iPhone's and iPad's gyroscope capabilities, creating an immersive experience where the beads appear as if they are rolling around inside your device.

The Galton Board, invented by Sir Francis Galton in 1873 to illustrate the binomial distribution, has been faithfully recreated in this educational app. Witness how a large number of beads and rows of hexagons approximate the normal distribution, showcasing the Central Limit Theorem.

Key Features:

• An interactive Galton Board that vividly displays the principles of probabilities and the binomial distribution.
• Detailed explanations of fundamental mathematical concepts such as probability theories, independent identically distributed (IID) random variables, regression to the mean, the law of large numbers, random walk, the Gambler's Fallacy, and more.
• A "Stock Market Data" version that simulates probabilities of historical monthly market returns and illustrates their correlation with the binomial distribution.
• The 'Historical Monthly Return Beads' feature alongside the Stock Market Data, allowing beads to fall through the board based on historical monthly returns for a selection of 20 index portfolios.
• Pause or slow-motion options for in-depth analysis of bead movement and distribution patterns.

The Galton Board App caters to statistics, math, and stock market enthusiasts. It offers an immersive, hands-on approach to comprehending probabilities, the binomial distribution, and stock market behavior. Brought to you by Index Fund Advisors, this app serves as a valuable educational resource. Begin your captivating journey into the realm of probabilities and the "law of unreason" referred to by Sir Francis Galton himself by downloading the app today!