The normal distribution doesn't exist - why is it so important?

Описание: In this video, I show you why the normal distribution is in so many cases the proper model to describe statistical data, even though it doesn't exist in reality.

Here is a list of source material that I use in the video:
3blue1brown's video on the cental limit theorem:    • But what is the Central Limit Theorem?  
stock videos by https://www.pexels.com

Datasets:
Heights of basebass players: Onge, Krueger, Rogers: Historical trends in height, weight and body mass: data from U.S. Major League Baseball players, 1869-1983. Economics & Human Biology (DOI: 10.1016/j.ehb.2008.06.008)
GDP values: GDP data of 2019 from https://data.worldbank.org/
Animal sizes: Jones et. al.: PanTHERIA: a species-level database of life history, ecology, and geography of extant and recently extinct mammals. Ecological Archives (DOI: 10.1890/08-1494.1)
Household income: Einkommens- und Verbrauchsstichprobe Einkommensverteilung in Deutschland - 2013. Statistisches Bundesamt (Destatis) 2018.
Population of German cities: Städte (Alle Gemeinden mit Stadtrecht) nach Fläche, Bevölkerung und Bevölkerungsdichte am 31.12.2019. Statistisches Bundesamt (Destatis).
Exoplanets: All Exoplanets Dataset, downloaded from kaggle: https://www.kaggle.com/datasets/shiva...

Chapters:
0:00 - introduction
0:20 - what is the normal distribution
2:22 - central limit theorem
5:12 - first example: maths exam
7:15 - second example: population height
11:04 - relative growth rates
15:35 - conclusion

#science #education #some4 #mathematics #statistics