Galton Board Simmple Edition
Embedded in this Galton Board are many statistical and mathematical concepts including probability theories, independent identically distributed (iid) random variables, the normal or bell-shaped curve, the Central Limit Theorem (the de Moivre-Laplace theorem), the binomial distribution, Bernoulli (1655-1705) trials, regression to the mean, the law of large numbers, probabilities such as coin flipping, stock market returns, the random walk, the Gambler’s Fallacy, & the law of frequency of errors.
The Galton Board (Simple Edition) with Pascal’s triangle is a 150 mm by 95 mm probability demonstrator providing a visualization of math in motion and the powers of the probabilities and statistics. Printed on the backside of the board is a theoretical investment portfolio histogram, which illustrates the randomness and the probabilities of market returns. The Galton Board contains the following:
This is a close up of the top of the Galton Board that shows Pascal's Triangle, the Normal Distribution Formula, Binomial Theorem, the Row Numbers and Power of 11 and the Row Totals and the Power of 2.
Next, we show the Fibonacci Numbers, the Star of David Theorem, Diagonals and Triangular Numbers, the Hockey Stick Pattern and the Quincuncx Pattern.
For the bottom section of the Galton Board we show the Probability Density, Bin Numbers and Standard Deviations, Binomial Distribution of Steel Beads, the Bell Curve, Golden Bead, and the Standard Deviation Lines.