Benford's law: Difference between revisions
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{{FormulaeEntry|page=https://formulae.org/?script=examples/Benford%27s_law}}
'''Solution:'''
The following function calculates the distribution of the first digit of a list of integer, positive numbers:
[[File:Fōrmulæ - Benford's law 01.png]]
'''Example:'''
[[File:Fōrmulæ - Benford's law 02.png]]
[[File:Fōrmulæ - Benford's law 03.png]]
'''Benford distribution.''' Benford distribution is, by definition (using a precision of 10 digits):
[[File:Fōrmulæ - Benford's law 04.png]]
[[File:Fōrmulæ - Benford's law 05.png]]
'''Comparison chart.''' The following function creates a chart, in order to compare the distribution of the first digis in a givel list or numbers, and the Benfol distribution:
[[File:Fōrmulæ - Benford's law 06.png]]
'''Testing.''' Testing with the previous list of numbers:
[[File:Fōrmulæ - Benford's law 07.png]]
[[File:Fōrmulæ - Benford's law 08.png]]
'''Case 1.''' Use the first 1,000 numbers from the Fibonacci sequence as your data set
[[File:Fōrmulæ - Benford's law 09.png]]
[[File:Fōrmulæ - Benford's law 10.png]]
'''Case 2.''' The sequence of the fisrt 1,000 natural numbers does not follow the Benfold distribution:
[[File:Fōrmulæ - Benford's law 11.png]]
[[File:Fōrmulæ - Benford's law 12.png]]
'''Case 3.''' The following example is for the list of the fist 1,000 factorial numbers.
[[File:Fōrmulæ - Benford's law 13.png]]
[[File:Fōrmulæ - Benford's law 14.png]]
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