I have updated my Shiny app for Law of Large Numbers. Here are the list of changes:
- Adding Pareto distribution with a mean but without standard deviation.
 - A choice for a histogram displayed interval, centered around 1.
 - Displayed sample ranges in a plot title.
 - An option to re-generate random numbers used for mean calculations.
 - Made it more pleasing visually by switching background color to more "paper" like and more bookish fonts.
 
Here is a link to it: https://mathemilda.shinyapps.io/large-number-theorem-visuals/
I will be grateful for your feedback! 
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