Visualization of Central Limit Theorem.

M. Dorovkov
June 21 2015

Developing Products for Education.

A project for “Developing Data Products”“ course, Data Science Specialization, Coursera.

Introduction.

The Central Limit Theorem (CLT) is one of the most important theorems in statistics. Thus, it is critical for students to properly understand its applicability.

The aim of this data product is to illustrate the applicability of the CLT. The CLT states that the arithmetic mean of a sufficiently large sample of any distribution with a well-defined expected value and variance, will be approximately normally distributed.

We believe this App can serve as an excellent visual educational aid.

Example of the CLT.

The samples of size 50 are taken from exponential distribution. plot of chunk unnamed-chunk-1

Distribution of means of 1000 samples of size 50. plot of chunk unnamed-chunk-2

The App.

The App was build using “shiny” package in R and deployed at www.shinyapps.io and is available on the web for everyone free of charge.

The app allows using different reactive inputs, such as selection boxes, sliders, buttons and others, that interact with the R code which runs on the “shiny apps”“ server resulting in required visual outputs.

For more details and documentation, please visit https://mdorovkov.shinyapps.io/appCLT.

Visual Appearance of the App.