
Number Theory Number Theory Math Forum 
 LinkBack  Thread Tools  Display Modes 
August 11th, 2019, 02:00 PM  #1 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 444 Thanks: 29 Math Focus: Number theory  Benford's law of last digit
Is there a corollary to Benford's law about the occurrence of the last digit of a number with finite places?

August 12th, 2019, 12:20 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,921 Thanks: 2203 
Why do you ask?

August 12th, 2019, 06:06 AM  #3 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 444 Thanks: 29 Math Focus: Number theory 
Because his original law is so paradoxical and unexpected to me.

August 12th, 2019, 10:33 AM  #4 
Senior Member Joined: Jun 2019 From: USA Posts: 120 Thanks: 40 
Reading up on the law and the reasons behind it, it seems unlikely the least significant digits would exhibit a nonuniform distribution for general data sets. I can think of a couple scenarios where they might, though:  If trailing zeros were cut off with no regard for measurement accuracy (e.g., writing 14 instead of 14.0), then obviously no numbers would end in zero.  If insignificant trailing zeros were counted (e.g., saying 1800 ± 100 ends in 0 instead of 8), then zero would be more frequent in many data sets.  If values are rounded to anything other than one times the LSD, the distribution will be uneven (e.g., temperatures rounded to the nearest 0.5° F will always end in 0 or 5). 

Tags 
benford, digit, law 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Benford  Croatoan23  Math Books  3  January 23rd, 2015 10:15 PM 
How many three digit number whose digit sum is 13 leave reminder 1 divided by 4  Shen  Elementary Math  3  June 6th, 2014 12:27 AM 
the last digit  shunya  Algebra  2  October 8th, 2013 05:03 AM 
the last nonzero digit of 13!  Albert.Teng  Algebra  3  October 6th, 2012 07:37 AM 
Benford  Croatoan23  Advanced Statistics  1  December 31st, 1969 04:00 PM 