Central Limit Theorem Demo: Uniform Distribution
Loading the math board and drawing, please wait…
In collections
Statistical Applets
This example demonstrates the Central Limit Theorem using a uniform probability distribution. It involves core concepts like frequency distribution and probability & statistics. Constructed using RandomUniform and Histogram commands in GeoGebra, it is suitable for high school and above students to understand the theorem and its applications.
GeoGebra Commands & Parameters
RandomUniform(10, 30) → B1RandomUniform(10, 30) → B2RandomUniform(10, 30) → B3RandomUniform(10, 30) → B4RandomUniform(10, 30) → B5RandomUniform(10, 30) → B6RandomUniform(10, 30) → B7RandomUniform(10, 30) → B8RandomUniform(10, 30) → B9RandomUniform(10, 30) → B10RandomUniform(10, 30) → B11RandomUniform(10, 30) → B12RandomUniform(10, 30) → B13RandomUniform(10, 30) → B14RandomUniform(10, 30) → B15RandomUniform(10, 30) → B16RandomUniform(10, 30) → B17RandomUniform(10, 30) → B18RandomUniform(10, 30) → B19RandomUniform(10, 30) → B20RandomUniform(10, 30) → B21RandomUniform(10, 30) → B22RandomUniform(10, 30) → B23RandomUniform(10, 30) → B24RandomUniform(10, 30) → B25RandomUniform(10, 30) → B26RandomUniform(10, 30) → B27RandomUniform(10, 30) → B28RandomUniform(10, 30) → B29RandomUniform(10, 30) → B30RandomUniform(10, 30) → B31RandomUniform(10, 30) → B32RandomUniform(10, 30) → B33RandomUniform(10, 30) → B34RandomUniform(10, 30) → B35RandomUniform(10, 30) → B36RandomUniform(10, 30) → B37RandomUniform(10, 30) → B38RandomUniform(10, 30) → B39RandomUniform(10, 30) → B40RandomUniform(10, 30) → B41RandomUniform(10, 30) → B42RandomUniform(10, 30) → B43RandomUniform(10, 30) → B44RandomUniform(10, 30) → B45RandomUniform(10, 30) → B46RandomUniform(10, 30) → B47RandomUniform(10, 30) → B48RandomUniform(10, 30) → B49RandomUniform(10, 30) → B50RandomUniform(10, 30) → B51RandomUniform(10, 30) → B52RandomUniform(10, 30) → B53RandomUniform(10, 30) → B54RandomUniform(10, 30) → B55RandomUniform(10, 30) → B56RandomUniform(10, 30) → B57RandomUniform(10, 30) → B58RandomUniform(10, 30) → B59RandomUniform(10, 30) → B60RandomUniform(10, 30) → B61RandomUniform(10, 30) → B62RandomUniform(10, 30) → B63RandomUniform(10, 30) → B64RandomUniform(10, 30) → B65RandomUniform(10, 30) → B66RandomUniform(10, 30) → B67RandomUniform(10, 30) → B68RandomUniform(10, 30) → B69RandomUniform(10, 30) → B70RandomUniform(10, 30) → B71RandomUniform(10, 30) → B72RandomUniform(10, 30) → B73RandomUniform(10, 30) → B74RandomUniform(10, 30) → B75RandomUniform(10, 30) → B76RandomUniform(10, 30) → B77RandomUniform(10, 30) → B78RandomUniform(10, 30) → B79RandomUniform(10, 30) → B80RandomUniform(10, 30) → B81RandomUniform(10, 30) → B82RandomUniform(10, 30) → B83RandomUniform(10, 30) → B84RandomUniform(10, 30) → B85RandomUniform(10, 30) → B86RandomUniform(10, 30) → B87RandomUniform(10, 30) → B88RandomUniform(10, 30) → B89RandomUniform(10, 30) → B90RandomUniform(10, 30) → B91RandomUniform(10, 30) → B92RandomUniform(10, 30) → B93RandomUniform(10, 30) → B94RandomUniform(10, 30) → B95RandomUniform(10, 30) → B96RandomUniform(10, 30) → B97RandomUniform(10, 30) → B98RandomUniform(10, 30) → B99RandomUniform(10, 30) → B100Histogram(bounds, listn01) → aHistogram(bounds, listn05) → cHistogram(bounds, listn10) → dHistogram(bounds, listn20) → eHistogram(bounds, listn30) → fHistogram(bounds, listn60) → g
AI Drawing Prompt Reference
Demonstrate the Central Limit Theorem by generating 40 random numbers between 10 and 30 using a uniform distribution, and plot their frequency distribution histogram to visually show the concentration trend and the formation of a normal distribution.
The prompt above was compiled from the original drawing commands and is for reference only.