Galton Board App 4+

with Pascal's Triangle

Index Fund Advisors, Inc

Designed for iPad

    • 5.0 • 54 Ratings
    • Free
    • Offers In-App Purchases



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!

What’s New

Version 1.4

* Additional visuals added - side scales

Ratings and Reviews

5.0 out of 5
54 Ratings

54 Ratings

mil_monkey ,

Very helpful to better understand!

Using this app, I was able to better understand the use of the bell curve. This helped me to study for my exams to make sure i can fully grasp this idea. The app is very easy and simple to use. It is clear and direct to make sure you fully understand. I like how the math equations for why this statistic works is added on the side too incase that interests you as well, or if you just want to know why! Overall, definitely an app I would recommend whether it be for educational use or just for fun.

JeanneJu80 ,

Clear and easy to use

Since my psychology course required some knowledge of statistics and probability theory, the professor recommended this software. According to Golton Broad, it explains the knowledge points related to the standard curve distribution diagram in mathematical statistics in a relatively intuitive way, which is very inspiring and helpful to me. This App is very simple and easy to operate!

Steve - CO ,

Historical investment insights

This app is cool from the standpoint of understanding how the market works. It provides an overview of how the stock market works and that rates change over time with the ups and downs of the market. Overtime most investments will fall in the range within the Bell curve and determine the rate of return. Again a very cool app.

App Privacy

The developer, Index Fund Advisors, Inc, indicated that the app’s privacy practices may include handling of data as described below. For more information, see the developer’s privacy policy.

Data Not Linked to You

The following data may be collected but it is not linked to your identity:

  • Identifiers
  • Usage Data

Privacy practices may vary, for example, based on the features you use or your age. Learn More


  • Family Sharing

    Some in‑app purchases, including subscriptions, may be shareable with your family group when Family Sharing is enabled.

More By This Developer

You Might Also Like

Galton Board
Art of Stat: Concepts
Fibonacci Sequence
Ham Radio Exam
Restoration Church Bryan