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August 11th, 2019, 02:00 PM   #1
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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?
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August 12th, 2019, 12:20 AM   #2
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Why do you ask?
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August 12th, 2019, 06:06 AM   #3
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Because his original law is so paradoxical and unexpected to me.
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August 12th, 2019, 10:33 AM   #4
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Reading up on the law and the reasons behind it, it seems unlikely the least significant digits would exhibit a non-uniform 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).
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