Editing Benford's law (section)

==Examples==
[[File:Benfords law illustrated by world's countries population.svg|Distribution of first digits (in %, red bars) in the [[List of countries by population|population of the 237 countries]] of the world as of July 2010. Black dots indicate the distribution predicted by Benford's law.|thumb|right]]
Examining a list of the heights of the [[List of tallest buildings and structures in the world#Tallest structure by category|58 tallest structures in the world by category]] shows that 1 is by far the most common leading digit, ''irrespective of the unit of measurement'' (see "scale invariance" below):
{| class="wikitable" style="text-align:right"
!rowspan="2"| Leading<br/> digit
!colspan=2| m
!colspan=2| ft
!rowspan="2"| Per<br/> Benford's law
|-
! Count
! Share
! Count
! Share
|-
| 1
| 23
| 39.7 %
| 15
| 25.9 %
| 30.1 %
|-
| 2
| 12
| 20.7 %
| 8
| 13.8 %
| 17.6 %
|-
| 3
| 6
| 10.3 %
| 5
| 8.6 %
| 12.5 %
|-
| 4
| 5
| 8.6 %
| 7
| 12.1 %
| 9.7 %
|-
| 5
| 2
| 3.4 %
| 9
| 15.5 %
| 7.9 %
|-
| 6
| 5
| 8.6 %
| 4
| 6.9 %
| 6.7 %
|-
| 7
| 1
| 1.7 %
| 3
| 5.2 %
| 5.8 %
|-
| 8
| 4
| 6.9 %
| 6
| 10.3 %
| 5.1 %
|-
| 9
| 0
| 0 %
| 1
| 1.7 %
| 4.6 %
|}

Another example is the leading digit of {{math|2<sup>''n''</sup>}}. The sequence of the first 96 leading digits (1, 2, 4, 8, 1, 3, 6, 1, 2, 5, 1, 2, 4, 8, 1, 3, 6, 1,&nbsp;... {{OEIS|A008952}}) exhibits closer adherence to Benford’s law than is expected for random sequences of the same length, because it is derived from a geometric sequence.<ref name=":0" />
{| class="wikitable" style="text-align:right"
!rowspan="2"| Leading<br/> digit
!colspan=2| Occurrence
!rowspan="2"| Per<br/> Benford's law
|-
! Count
! Share
|-
| 1
| 29
| 30.2 %
| 30.1 %
|-
| 2
| 17
| 17.7 %
| 17.6 %
|-
| 3
| 12
| 12.5 %
| 12.5 %
|-
| 4
| 10
| 10.4 %
| 9.7 %
|-
| 5
| 7
| 7.3 %
| 7.9 %
|-
| 6
| 6
| 6.3 %
| 6.7 %
|-
| 7
| 5
| 5.2 %
| 5.8 %
|-
| 8
| 5
| 5.2 %
| 5.1 %
|-
| 9
| 5
| 5.2 %
| 4.6 %
|}