Galton Board App3.2 - App Store

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 was invented by Sir Francis Galton in 1873 to illustrate the binomial distribution. Through our app, we've recreated this educational tool to demonstrate how, with a large number of beads and rows of hexagons, it approximates the normal distribution - a concept known as the Central Limit Theorem.

Key Features:

. An interactive Galton Board that displays the principles of probabilities and the binomial distribution.

. Detailed explanations of related mathematical concepts, including probability theories, independent identically distributed (IID) random variables, regression to the mean, the law of large numbers, the random walk, the Gambler's Fallacy, and more.

. A "Stock Market Data" version, simulating the probabilities of a range of historical monthly market returns, and demonstrating their correlation with the binomial distribution.

. The 'Historical Monthly Return Beads' featured with the Stock Market Data, where beads fall through the board based on monthly historical returns for a choice of 20 index portfolios.

. Pause or slow-motion options to study the bead movement and distribution patterns in detail.

The Galton Board App is ideal for statistics, math, and stock market enthusiasts. It is not just an app, it's an immersive, hands-on approach to understanding probabilities, the binomial distribution, and the stock market behavior. Presented by Index Fund Advisors, this app is your go-to educational tool. Download now and embark on a fascinating journey into the world of probabilities and the "law of unreason" as referred to by Sir Francis Galton himself!

Version History * Updated for iOS 27 3.2 Sep 18 * Galton Board - portfolios used for Stock Market Data were updated 3.1 Sep 15 * Performance updates 3.0 May 29 * Minor layout updates 2.12 May 19 * Coin Series categories were updated in the Galton Board 2.11 May 8 * Additional coin series added to the Market Coin feature
* Some zoom issues fixed 2.10 Apr 23 * Fixed issue causing coins to not show on the Galton Board 2.8 Apr 7 * Galton Board User Guide in various languages added 2.7 Jan 7 * The Market Coin has been added 2.6 12/17/2025 * Zoom added
* Updates to the Galton Board Proficiency test 2.5 11/12/2025 * Updated Galton Board links 2.4 10/23/2025 * Sound effects added for single bead drops 2.3 10/04/2025 * Stock market data updated to use 75+ years of returns data 2.2 05/22/2025 * Updates for the 30-Day Return daily notification 2.1 01/31/2025 * Daily reminder for the 30-day portfolio return bead drop (for users who have opted-in to Stock Market Data) 2.0 01/22/2025 * "Last 30 Days" historical bead option added to the Galton Board 1.13 12/31/2024 * Updated link to physical Galton Board 1.12 12/11/2024 * This version includes the Galton Board Proficiency Test, with information about the history of the Galton Board and mathematical concepts behind it. 1.11 10/12/2024 * New updates to the Portfolio Return Beads 1.10 09/27/2024 * Historical bead update 1.9 09/12/2024 * Stock Market Data consent page updated 1.8 09/05/2024 * Historical Beads now available back to Jan 1, 2000 1.7 09/01/2024 * Updated the information pop up for Pascal's Triangle 1.6 07/01/2024 * Performance and backend updates. 1.5 05/09/2024 * Additional visuals added - side scales 1.4 03/28/2024