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The Evolution of Normal Distribution

Statistics is the most widely applied of all mathematical disciplines and at the center of statistics lies the normal distribution, known to millions of people as the bell curve, or the bell-shaped curve.

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A Galton Board Demonstration of Why All Statistical Models are Misspecified

The Galton board or quincunx is a fascinating device that provides a compelling demonstration of one the main laws of statistics.

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The Kids Should See This

Math in Motion: Playing with a desktop Galton Board

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Tools & Toys

The Galton Board — A Desktop Probability Machine.

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Learning Statistics Through Guided Block Play: A Precurriculum in Statitical Literacy

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Results of Simulations of a Model of the Galton Board for Various Degrees of Elasticity of the Ball-to-Nail Collision

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Bean Machine: A Declarative Probabilistic Programming Language For Efficient Programmable Inference

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3D Printed Galton Board

A Galton board (AKA a bean machine) demonstrates probability by allowing balls to drop through an array of pegs through which they have a 50/50 chance of going left or right at each point.

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Introducing Bean Machine

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What If God Were A Giant Game Of Plinko?

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DE MOIVRE ON THE LAW OF NORMAL PROBABILITY

The Galton board or quincunx is a fascinating device that provides a compelling demonstration of one the main laws of statistics.

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Engraved Portraits of Gauss for sale by Acme Klein Bottle!

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Deborah R. Fowler - Galton Board

The idea of a Galton board is to demonstrate the bell curve. Dropping balls on pegs arranged in a way such that when the ball is dropped it has a 50/50 chance of going left or right. Generally speaking there are more paths going toward the middle and thus produces the bell curve, or binomial distribution, or normal distribution of balls in the slots below the pegs.

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Galton Board / Quincunx

The Galton board (also called a Quincunx) is a physical model of the binomial distribution which beautifully illustrates the central limit theorem.

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Random Walk in Stock Market Prices

FOR MANY YEARS economists, statisticians, and teachers of finance have been interested in developing and testing models of stock price behavior. One important model that has evolved from this research is the theory of random walks.

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Introduction to the Normal Distribution (Bell Curve)

The normal distribution is a continuous probability distribution that is symmetrical on both sides of the mean, so the right side of the center is a mirror image of the left side.

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Bean Machine and The Central Limit Theorem

While I was studying Statistical Physics at the university, I was fascinated by the ability of statistics to simplify and explain the chaotic processes in a smart approach.

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Normal Distribution in Statistics

The normal distribution is the most important probability distribution in statistics because it fits many natural phenomena.

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Dice for Statistical Experiments

Every statistician wants now and then to test the practical value of some theoretical process...

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Bagatelle as the inspiration for Galton's Quincunx

This paper considers the question of how Francis Galton came to devise the quincunx, a pin-board that simulates the effect of a large number of Bernoulli trials to yield an empirical normal curve.

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Numerical Study of Galton Board Experiment via Discrete Element Method Simulation

Random walk can be described as certain simplification of phenomena commonly observed in, for example, chemistry and physics.

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A Brief History of Statistics in Three and One-Half Chapters: A Review Essay

This article by Stephen Fienberg reviews the last three and one-half centuries of statistics and probability largely through the author's overview and synthesis of seven recent books on the topic.

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APSU statistics instructor Sam Ligo builds Real-World models to help Students grasp Math Concepts

Austin Peay State University statistics instructor Sam Ligo for years has used his woodworking skills and engineering know-how to build mathematical models – real-world 3D representations of the math – to help his students learn.

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Beyond the Quintessential Quincunx

The quincunx, a contraption with balls rolling through a triangle-shaped arrangement of nails, was invented to illustrate the binomial distribution and the central limit theorem for Bernoulli random variables

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The Quincunx: History and Mathematics

The quincunx was invented by Sir Francis Galton in 1873 to demonstrate binomial distributions. During the last 125 years it has been used to illustrate the laws of the binomial and the normal distribution.

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Visualizing the Distribution of Converged MCNP Tally Means with a Quincunx Machine

Visualizing what a collection of independent, converged (normally distributed) MCNP tally means looks like is interesting, informative, and reinforces the need for creating a confidence interval from an MCNP tally result.

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Pascal's Triangle, Prime Numbers, and… Count Dracula?

Here is a fun little IFA GB math story that I stumbled into with a surprising and sinister conclusion.