Editing Highest averages method (section)

=== Example: Adams ===
The following example shows a case where Adams' method fails to give a majority to a party winning 55% of the vote, again in violation of their quota entitlement.

{| class="wikitable mw-collapsible" style="text-align:center;"
|+
|- style="font-weight:bold; vertical-align:bottom; background-color:#FFF;"
! colspan="7" style="background-color:#ffffff;" | Adams' Method
! style="vertical-align:middle; background-color:#ffffff; font-weight:normal; text-align:left;" |
! colspan="7" style="background-color:#ffffff;" | Webster Method
|- style="font-weight:bold; vertical-align:bottom;"
! Party
! Yellow
! White
! Red
! Green
! Purple
! Total
| rowspan="6" style="vertical-align:middle; background-color:#ffffff; font-weight:normal;" |
! Party
! Yellow
! White
! Red
! Green
! Purple
! Total
|- style="vertical-align:bottom;"
! style="font-weight:bold;" | Votes
| 55,000
| 17,290
| 16,600
| 5,560
| 5,550
| style="text-align:right; font-weight:bold;" | 100,000
! style="font-weight:bold;" | Votes
| style="text-align:left;" | 55,000
| 17,290
| 16,600
| 5,560
| 5,550
| style="text-align:right; font-weight:bold;" | 100,000
|- style="text-align:left;"
! style="text-align:center; font-weight:bold;" | Seats
| 10
| 4
| 3
| 2
| 2
| style="text-align:right; font-weight:bold;" | 21
! style="text-align:center; font-weight:bold;" | Seats
| 11
| 4
| 4
| 1
| 1
| style="text-align:right; font-weight:bold;" | 21
|- style="text-align:left;"
! style="text-align:center; vertical-align:bottom; font-weight:bold;" | Ideal
| style="vertical-align:bottom;" | 11.550
| style="vertical-align:bottom;" | 3.631
| style="vertical-align:bottom;" | 3.486
| style="vertical-align:bottom;" | 1.168
| style="vertical-align:bottom;" | 1.166
| style="text-align:right; vertical-align:bottom; font-weight:bold;" | 21
! style="text-align:center; vertical-align:bottom; font-weight:bold;" | Ideal
| 11.550
| 3.631
| 3.486
| 1.168
| 1.166
| style="text-align:right; vertical-align:bottom; font-weight:bold;" | 21
|- style="text-align:left;"
! style="text-align:center; vertical-align:bottom; font-weight:bold;" | Votes/Seat
| style="vertical-align:bottom;" | 5500
| style="vertical-align:bottom;" | 4323
| style="vertical-align:bottom;" | 5533
| style="vertical-align:bottom;" | 2780
| style="vertical-align:bottom;" | 2775
| style="text-align:right; vertical-align:bottom; font-weight:bold;" | 4762
! style="text-align:center; font-weight:bold;" | Votes/Seat
| 4583
| 4323
| 5533
| 5560
| 5550
| style="text-align:right; font-weight:bold;" | 4762
|- style="text-align:left;"
! style="text-align:center; vertical-align:bottom; font-weight:bold;" | % Error
| style="vertical-align:bottom;" | -14.4%
| style="vertical-align:bottom;" | 9.7%
| style="vertical-align:bottom;" | -15.0%
| style="vertical-align:bottom;" | 53.8%
| style="vertical-align:bottom;" | 54.0%
| style="text-align:right; vertical-align:bottom; font-weight:bold;" | (99.4%)
! style="text-align:center; font-weight:bold;" | (% Range)
| style="vertical-align:bottom;" | 3.8%
| style="vertical-align:bottom;" | 9.7%
| style="vertical-align:bottom;" | -15.0%
| style="vertical-align:bottom;" | -15.5%
| style="vertical-align:bottom;" | -15.3%
| style="text-align:right; vertical-align:bottom; font-weight:bold;" | (28.6%)
|- style="font-weight:bold; vertical-align:bottom;"
! Seats
! colspan="5" | Averages
! Signposts
| style="vertical-align:middle; background-color:#ffffff; font-weight:normal;" |
! Seats
! colspan="5" | Averages
! style="text-align:right;" | Signposts
|- style="vertical-align:bottom;"
! style="font-weight:bold;" | 1
| style="background-color:#63BE7B;" | ∞
| style="background-color:#CDE9D6;" | ∞
| style="background-color:#CEEAD8;" | ∞
| style="background-color:#EDF6F2;" | ∞
| style="background-color:#EDF6F2;" | ∞
| style="text-align:right; font-weight:bold;" | 0.00
| rowspan="12" style="vertical-align:middle; background-color:#ffffff; text-align:left;" |
! style="font-weight:bold;" | 1
| style="background-color:#63BE7B;" | 110,001
| style="background-color:#CDE9D6;" | 34,580
| style="background-color:#CFEAD8;" | 33,200
| style="background-color:#EEF7F3;" | 11,120
| style="background-color:#EEF7F3;" | 11,100
| style="text-align:right; font-weight:bold;" | 0.50
|- style="vertical-align:bottom;"
! style="font-weight:bold;" | 2
| style="background-color:#EDF6F2;" | 55,001
| style="background-color:#F8FBFB;" | 17,290
| style="background-color:#F8FBFC;" | 16,600
| style="background-color:#FBFCFE;" | 5,560
| style="background-color:#FBFCFE;" | 5,550
| style="text-align:right; font-weight:bold;" | 1.00
! style="font-weight:bold;" | 2
| style="background-color:#CAE8D4;" | 36,667
| style="background-color:#EDF6F2;" | 11,527
| style="background-color:#EEF7F3;" | 11,067
| style="background-color:#EEF7F3;" | 3,707
| style="background-color:#EEF7F3;" | 3,700
| style="text-align:right; font-weight:bold;" | 1.50
|- style="vertical-align:bottom;"
! style="font-weight:bold;" | 3
| style="background-color:#F5F9F9;" | 27,500
| style="background-color:#FAFCFE;" | 8,645
| style="background-color:#FAFCFE;" | 8,300
| 2,780
| 2,775
| style="text-align:right; font-weight:bold;" | 2.00
! style="font-weight:bold;" | 3
| style="background-color:#DEF0E6;" | 22,000
| style="background-color:#F4F9F8;" | 6,916
| style="background-color:#F4F9F8;" | 6,640
| 2,224
| 2,220
| style="text-align:right; font-weight:bold;" | 2.50
|- style="vertical-align:bottom;"
! style="font-weight:bold;" | 4
| style="background-color:#F8FAFB;" | 18,334
| style="background-color:#FBFCFE;" | 5,763
| style="background-color:#FBFCFE;" | 5,533
| 1,853
| 1,850
| style="text-align:right; font-weight:bold;" | 3.00
! style="font-weight:bold;" | 4
| style="background-color:#E7F4ED;" | 15,714
| style="background-color:#F4F9F8;" | 4,940
| style="background-color:#F4F9F8;" | 4,743
| 1,589
| 1,586
| style="text-align:right; font-weight:bold;" | 3.50
|- style="vertical-align:bottom;"
! style="font-weight:bold;" | 5
| style="background-color:#F9FBFC;" | 13,750
| 4,323
| 4,150
| 1,390
| 1,388
| style="text-align:right; font-weight:bold;" | 4.00
! style="font-weight:bold;" | 5
| style="background-color:#ECF6F1;" | 12,222
| style="background-color:#F4F9F9;" | 3,842
| 3,689
| 1,236
| 1,233
| style="text-align:right; font-weight:bold;" | 4.50
|- style="vertical-align:bottom;"
! style="font-weight:bold;" | 6
| style="background-color:#FAFBFD;" | 11,000
| 3,458
| 3,320
| 1,112
| 1,110
| style="text-align:right; font-weight:bold;" | 5.00
! style="font-weight:bold;" | 6
| style="background-color:#EFF7F4;" | 10,000
| style="background-color:#F6FAFA;" | 3,144
| 3,018
| 1,011
| 1,009
| style="text-align:right; font-weight:bold;" | 5.50
|- style="vertical-align:bottom;"
! style="font-weight:bold;" | 7
| style="background-color:#FAFCFD;" | 9,167
| 2,882
| 2,767
| 927
| 925
| style="text-align:right; font-weight:bold;" | 6.00
! style="font-weight:bold;" | 7
| style="background-color:#F1F8F6;" | 8,462
| 2,660
| 2,554
| 855
| 854
| style="text-align:right; font-weight:bold;" | 6.50
|- style="vertical-align:bottom;"
! style="font-weight:bold;" | 8
| style="background-color:#FAFCFE;" | 7,857
| 2,470
| 2,371
| 794
| 793
| style="text-align:right; font-weight:bold;" | 7.00
! style="font-weight:bold;" | 8
| style="background-color:#F3F9F7;" | 7,333
| 2,305
| 2,213
| 741
| 740
| style="text-align:right; font-weight:bold;" | 7.50
|- style="vertical-align:bottom;"
! style="font-weight:bold;" | 9
| style="background-color:#FBFCFE;" | 6,875
| 2,161
| 2,075
| 695
| 694
| style="text-align:right; font-weight:bold;" | 8.00
! style="font-weight:bold;" | 9
| style="background-color:#F4F9F8;" | 6,471
| 2,034
| 1,953
| 654
| 653
| style="text-align:right; font-weight:bold;" | 8.50
|- style="vertical-align:bottom;"
! style="font-weight:bold;" | 10
| style="background-color:#FBFCFE;" | 6,111
| 1,921
| 1,844
| 618
| 617
| style="text-align:right; font-weight:bold;" | 9.00
! style="font-weight:bold;" | 10
| style="background-color:#F5FAF9;" | 5,790
| 1,820
| 1,747
| 585
| 584
| style="text-align:right; font-weight:bold;" | 9.50
|- style="vertical-align:bottom;"
! style="font-weight:bold;" | 11
| style="background-color:#FBFCFE;" | 5,500
| 1,729
| 1,660
| 556
| 555
| style="text-align:right; font-weight:bold;" | 10.00
! style="font-weight:bold;" | 11
| style="background-color:#F6FAFA;" | 5,238
| 1,647
| 1,581
| 530
| 529
| style="text-align:right; font-weight:bold;" | 10.50
|- style="font-weight:bold; text-align:left;"
! style="text-align:center;" | Seats
| 10
| 4
| 3
| 2
| 2
| style="font-weight:normal;" |
! style="text-align:center; vertical-align:bottom;" | Seats
| style="vertical-align:bottom;" | 11
| style="vertical-align:bottom;" | 4
| style="vertical-align:bottom;" | 4
| style="vertical-align:bottom;" | 1
| style="vertical-align:bottom;" | 1
| style="vertical-align:bottom;" |
|}