Bean machine (Galton board) to show normal distribution curve

The Galton board, also known as the Galton box or quincunx or bean machine, is a device invented by Sir Francis Galton to demonstrate the central limit theorem, in particular that with sufficient sample size the binomial distribution approximates a normal distribution. It consists of a vertical board with interleaved rows of pegs. Beads are dropped from the top and, when the device is level, bounce either left or right as they hit the pegs. Eventually they are collected into bins at the bottom, where the height of bead columns accumulated in the bins approximate a bell curve. Overlaying Pascal's triangle onto the pins shows the number of different paths that can be taken to get to each bin.
#galtonboard #beanmachine #normaldistribution #model #statistics #mathematics
#доскагалтона #бинмашина #нормальноераспределение #модель #статистика #математика
#高爾頓板 #豆機 #正態分佈 #模型 #統計 #數學