Michigan
ALL votes from Eaton County.
Precincts added in order of number of votes.
Voters: 40,261 Precincts (polling places): 51 Average voters per precinct: 789 Votes in median precinct: 750Voting Machine: ES&S AutoMARK+Model 100 Ballot Marking Device or System+Optical Scan
Data from: Michigan Secretary of State
deltaM = -1%deltaMxV = -407
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Note: X/Y graph display only works for all votes, sorted by precinct size (number of votes)
These graphs show each candidate's CUMULATIVE percent of the vote for all points to the left of and including each precinct. As you move to the right, the results from more and more precincts are included. If you choose "ALL" votes, the points at the far right of the graph represent the outcome of the election.
In order to get a sense of what might be expected if there is no strong correlation between precinct size and political leaning, select "Count votes: In random order". Each time you redraw the graph you will see cumulative totals for randomly sorted precincts.
Benford's Law Analysis
This analysis compares the expected statistical distribution of the left-most digit of the vote count of each precinct to what would be expected for randomly distributed vote counts. It is a method used by forensic accountants to detect possible fraud. There is controversy about whether this law can be applied to elections, but we thought we would have a look at it anyway. Read more here.
NOTE: We show this analysis when there are 50 or more precincts in the set. Some argue that this analysis is best used with sets containing approximately 500 data points or more. Additionally, it is likely to fail if there are a great many precincts of approximately the same size.
NOTE: We show this analysis when there are 50 or more precincts in the set. Some argue that this analysis is best used with sets containing approximately 500 data points or more. Additionally, it is likely to fail if there are a great many precincts of approximately the same size.
Expected Benford's Law Distribution
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Leftmost Digit of Vote Count - Frequency of Occurrence
Benford's Law Distribution for JOAN LARSEN
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Leftmost Digit of Vote Count - Frequency of Occurance
Benford's Law Distribution for DEBORAH THOMAS
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Leftmost Digit of Vote Count - Frequency of Occurance
Benford's Law Distribution for KERRY L. MORGAN
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Leftmost Digit of Vote Count - Frequency of Occurance
Show Data
Leftmost Digit | Expected Distribution | JOAN LARSEN | DEBORAH THOMAS | KERRY L. MORGAN |
1 | 30.1% | 0% | 37.3% | 51% |
2 | 17.6% | 11.8% | 37.3% | 2% |
3 | 12.5% | 27.5% | 13.7% | 0% |
4 | 9.7% | 19.6% | 2% | 3.9% |
5 | 7.9% | 19.6% | 0% | 5.9% |
6 | 6.7% | 17.6% | 0% | 5.9% |
7 | 5.8% | 3.9% | 2% | 9.8% |
8 | 5.1% | 0% | 3.9% | 15.7% |
9 | 4.6% | 0% | 3.9% | 5.9% |
Detailed Data
Download graph dataJOAN LARSEN (R): Percent of votes: 59.47%, Total votes: 23945 out of 40261
Data
Precinct | Total Votes |
Votes | Percent | Cumulative | Cumulative Total | Cumulative Pct | OLIVET CITY 1 | 355 | 224 | 63% | 224 | 355 | 63% | BELLEVUE TOWNSHIP 2 | 376 | 210 | 56% | 434 | 731 | 59% | EATON TOWNSHIP 2 | 406 | 249 | 61% | 683 | 1137 | 60% | BROOKFIELD TOWNSHIP 1 | 460 | 300 | 65% | 983 | 1597 | 62% | EATON RAPIDS CITY 1 | 474 | 281 | 59% | 1264 | 2071 | 61% | EATON RAPIDS CITY 2 | 488 | 293 | 60% | 1557 | 2559 | 61% | GRAND LEDGE CITY 4 | 513 | 330 | 64% | 1887 | 3072 | 61% | ONEIDA TOWNSHIP 2 | 516 | 320 | 62% | 2207 | 3588 | 62% | DELTA TOWNSHIP 11 | 528 | 298 | 56% | 2505 | 4116 | 61% | CHARLOTTE CITY 1 2 | 572 | 347 | 61% | 2852 | 4688 | 61% | KALAMO TOWNSHIP 1 | 584 | 386 | 66% | 3238 | 5272 | 61% | DELTA TOWNSHIP 16 | 593 | 371 | 63% | 3609 | 5865 | 62% | BELLEVUE TOWNSHIP 1 | 596 | 388 | 65% | 3997 | 6461 | 62% | EATON RAPIDS TOWNSHIP 1 | 646 | 402 | 62% | 4399 | 7107 | 62% | GRAND LEDGE CITY 3 | 651 | 375 | 58% | 4774 | 7758 | 62% | VERMONTVILLE TOWNSHIP 1 | 661 | 399 | 60% | 5173 | 8419 | 61% | ROXAND TOWNSHIP 1 | 663 | 417 | 63% | 5590 | 9082 | 62% | CHARLOTTE CITY 2 1 | 668 | 428 | 64% | 6018 | 9750 | 62% | CHESTER TOWNSHIP 1 | 678 | 415 | 61% | 6433 | 10428 | 62% | DELTA TOWNSHIP 15 | 698 | 363 | 52% | 6796 | 11126 | 61% | EATON RAPIDS CITY 3 | 706 | 399 | 57% | 7195 | 11832 | 61% | DELTA TOWNSHIP 3 | 725 | 399 | 55% | 7594 | 12557 | 60% | DELTA TOWNSHIP 7 | 731 | 410 | 56% | 8004 | 13288 | 60% | CHARLOTTE CITY 2 2 | 744 | 396 | 53% | 8400 | 14032 | 60% | CHARLOTTE CITY 1 1 | 750 | 418 | 56% | 8818 | 14782 | 60% | DELTA TOWNSHIP 13 | 754 | 511 | 68% | 9329 | 15536 | 60% | SUNFIELD TOWNSHIP 1 | 785 | 433 | 55% | 9762 | 16321 | 60% | GRAND LEDGE CITY 2 | 785 | 515 | 66% | 10277 | 17106 | 60% | DELTA TOWNSHIP 9 | 799 | 456 | 57% | 10733 | 17905 | 60% | DELTA TOWNSHIP 8 | 806 | 419 | 52% | 11152 | 18711 | 60% | WALTON TOWNSHIP 1 | 837 | 563 | 67% | 11715 | 19548 | 60% | GRAND LEDGE CITY 1 | 895 | 534 | 60% | 12249 | 20443 | 60% | WINDSOR TOWNSHIP 3 | 912 | 591 | 65% | 12840 | 21355 | 60% | DELTA TOWNSHIP 14 | 925 | 496 | 54% | 13336 | 22280 | 60% | EATON RAPIDS TOWNSHIP 2 | 927 | 507 | 55% | 13843 | 23207 | 60% | DELTA TOWNSHIP 1 | 932 | 590 | 63% | 14433 | 24139 | 60% | POTTERVILLE CITY 1 | 946 | 611 | 65% | 15044 | 25085 | 60% | DELTA TOWNSHIP 10 | 953 | 571 | 60% | 15615 | 26038 | 60% | DELTA TOWNSHIP 12 | 975 | 637 | 65% | 16252 | 27013 | 60% | WINDSOR TOWNSHIP 1 | 980 | 547 | 56% | 16799 | 27993 | 60% | DELTA TOWNSHIP 5 | 993 | 541 | 54% | 17340 | 28986 | 60% | ONEIDA TOWNSHIP 1 | 1053 | 656 | 62% | 17996 | 30039 | 60% | DELTA TOWNSHIP 6 | 1077 | 666 | 62% | 18662 | 31116 | 60% | CARMEL TOWNSHIP 1 | 1091 | 642 | 59% | 19304 | 32207 | 60% | WINDSOR TOWNSHIP 2 | 1092 | 666 | 61% | 19970 | 33299 | 60% | BENTON TOWNSHIP 1 | 1125 | 690 | 61% | 20660 | 34424 | 60% | DELTA TOWNSHIP 2 | 1150 | 699 | 61% | 21359 | 35574 | 60% | DELTA TOWNSHIP 4 | 1172 | 771 | 66% | 22130 | 36746 | 60% | EATON TOWNSHIP 1 | 1249 | 699 | 56% | 22829 | 37995 | 60% | HAMLIN TOWNSHIP 1 | 1328 | 782 | 59% | 23611 | 39323 | 60% | LANSING CITY 3 0 | 938 | 334 | 36% | 23945 | 40261 | 59% |
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DEBORAH THOMAS (D): Percent of votes: 26.78%, Total votes: 10780 out of 40261
Data
Precinct | Total Votes |
Votes | Percent | Cumulative | Cumulative Total | Cumulative Pct | OLIVET CITY 1 | 355 | 78 | 22% | 78 | 355 | 22% | BELLEVUE TOWNSHIP 2 | 376 | 86 | 23% | 164 | 731 | 22% | EATON TOWNSHIP 2 | 406 | 109 | 27% | 273 | 1137 | 24% | BROOKFIELD TOWNSHIP 1 | 460 | 81 | 18% | 354 | 1597 | 22% | EATON RAPIDS CITY 1 | 474 | 141 | 30% | 495 | 2071 | 24% | EATON RAPIDS CITY 2 | 488 | 99 | 20% | 594 | 2559 | 23% | GRAND LEDGE CITY 4 | 513 | 134 | 26% | 728 | 3072 | 24% | ONEIDA TOWNSHIP 2 | 516 | 142 | 28% | 870 | 3588 | 24% | DELTA TOWNSHIP 11 | 528 | 152 | 29% | 1022 | 4116 | 25% | CHARLOTTE CITY 1 2 | 572 | 149 | 26% | 1171 | 4688 | 25% | KALAMO TOWNSHIP 1 | 584 | 117 | 20% | 1288 | 5272 | 24% | DELTA TOWNSHIP 16 | 593 | 156 | 26% | 1444 | 5865 | 25% | BELLEVUE TOWNSHIP 1 | 596 | 99 | 17% | 1543 | 6461 | 24% | EATON RAPIDS TOWNSHIP 1 | 646 | 113 | 17% | 1656 | 7107 | 23% | GRAND LEDGE CITY 3 | 651 | 202 | 31% | 1858 | 7758 | 24% | VERMONTVILLE TOWNSHIP 1 | 661 | 180 | 27% | 2038 | 8419 | 24% | ROXAND TOWNSHIP 1 | 663 | 128 | 19% | 2166 | 9082 | 24% | CHARLOTTE CITY 2 1 | 668 | 139 | 21% | 2305 | 9750 | 24% | CHESTER TOWNSHIP 1 | 678 | 181 | 27% | 2486 | 10428 | 24% | DELTA TOWNSHIP 15 | 698 | 266 | 38% | 2752 | 11126 | 25% | EATON RAPIDS CITY 3 | 706 | 188 | 27% | 2940 | 11832 | 25% | DELTA TOWNSHIP 3 | 725 | 261 | 36% | 3201 | 12557 | 25% | DELTA TOWNSHIP 7 | 731 | 223 | 31% | 3424 | 13288 | 26% | CHARLOTTE CITY 2 2 | 744 | 200 | 27% | 3624 | 14032 | 26% | CHARLOTTE CITY 1 1 | 750 | 211 | 28% | 3835 | 14782 | 26% | DELTA TOWNSHIP 13 | 754 | 157 | 21% | 3992 | 15536 | 26% | SUNFIELD TOWNSHIP 1 | 785 | 192 | 24% | 4184 | 16321 | 26% | GRAND LEDGE CITY 2 | 785 | 170 | 22% | 4354 | 17106 | 25% | DELTA TOWNSHIP 9 | 799 | 262 | 33% | 4616 | 17905 | 26% | DELTA TOWNSHIP 8 | 806 | 265 | 33% | 4881 | 18711 | 26% | WALTON TOWNSHIP 1 | 837 | 144 | 17% | 5025 | 19548 | 26% | GRAND LEDGE CITY 1 | 895 | 273 | 31% | 5298 | 20443 | 26% | WINDSOR TOWNSHIP 3 | 912 | 203 | 22% | 5501 | 21355 | 26% | DELTA TOWNSHIP 14 | 925 | 321 | 35% | 5822 | 22280 | 26% | EATON RAPIDS TOWNSHIP 2 | 927 | 232 | 25% | 6054 | 23207 | 26% | DELTA TOWNSHIP 1 | 932 | 241 | 26% | 6295 | 24139 | 26% | POTTERVILLE CITY 1 | 946 | 169 | 18% | 6464 | 25085 | 26% | DELTA TOWNSHIP 10 | 953 | 256 | 27% | 6720 | 26038 | 26% | DELTA TOWNSHIP 12 | 975 | 259 | 27% | 6979 | 27013 | 26% | WINDSOR TOWNSHIP 1 | 980 | 264 | 27% | 7243 | 27993 | 26% | DELTA TOWNSHIP 5 | 993 | 333 | 34% | 7576 | 28986 | 26% | ONEIDA TOWNSHIP 1 | 1053 | 247 | 23% | 7823 | 30039 | 26% | DELTA TOWNSHIP 6 | 1077 | 326 | 30% | 8149 | 31116 | 26% | CARMEL TOWNSHIP 1 | 1091 | 268 | 25% | 8417 | 32207 | 26% | WINDSOR TOWNSHIP 2 | 1092 | 330 | 30% | 8747 | 33299 | 26% | BENTON TOWNSHIP 1 | 1125 | 300 | 27% | 9047 | 34424 | 26% | DELTA TOWNSHIP 2 | 1150 | 303 | 26% | 9350 | 35574 | 26% | DELTA TOWNSHIP 4 | 1172 | 282 | 24% | 9632 | 36746 | 26% | EATON TOWNSHIP 1 | 1249 | 296 | 24% | 9928 | 37995 | 26% | HAMLIN TOWNSHIP 1 | 1328 | 369 | 28% | 10297 | 39323 | 26% | LANSING CITY 3 0 | 938 | 483 | 51% | 10780 | 40261 | 27% |
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KERRY L. MORGAN (L): Percent of votes: 13.75%, Total votes: 5536 out of 40261
Data
Precinct | Total Votes |
Votes | Percent | Cumulative | Cumulative Total | Cumulative Pct | OLIVET CITY 1 | 355 | 53 | 15% | 53 | 355 | 15% | BELLEVUE TOWNSHIP 2 | 376 | 80 | 21% | 133 | 731 | 18% | EATON TOWNSHIP 2 | 406 | 48 | 12% | 181 | 1137 | 16% | BROOKFIELD TOWNSHIP 1 | 460 | 79 | 17% | 260 | 1597 | 16% | EATON RAPIDS CITY 1 | 474 | 52 | 11% | 312 | 2071 | 15% | EATON RAPIDS CITY 2 | 488 | 96 | 20% | 408 | 2559 | 16% | GRAND LEDGE CITY 4 | 513 | 49 | 10% | 457 | 3072 | 15% | ONEIDA TOWNSHIP 2 | 516 | 54 | 10% | 511 | 3588 | 14% | DELTA TOWNSHIP 11 | 528 | 78 | 15% | 589 | 4116 | 14% | CHARLOTTE CITY 1 2 | 572 | 76 | 13% | 665 | 4688 | 14% | KALAMO TOWNSHIP 1 | 584 | 81 | 14% | 746 | 5272 | 14% | DELTA TOWNSHIP 16 | 593 | 66 | 11% | 812 | 5865 | 14% | BELLEVUE TOWNSHIP 1 | 596 | 109 | 18% | 921 | 6461 | 14% | EATON RAPIDS TOWNSHIP 1 | 646 | 131 | 20% | 1052 | 7107 | 15% | GRAND LEDGE CITY 3 | 651 | 74 | 11% | 1126 | 7758 | 15% | VERMONTVILLE TOWNSHIP 1 | 661 | 82 | 12% | 1208 | 8419 | 14% | ROXAND TOWNSHIP 1 | 663 | 118 | 18% | 1326 | 9082 | 15% | CHARLOTTE CITY 2 1 | 668 | 101 | 15% | 1427 | 9750 | 15% | CHESTER TOWNSHIP 1 | 678 | 82 | 12% | 1509 | 10428 | 14% | DELTA TOWNSHIP 15 | 698 | 69 | 10% | 1578 | 11126 | 14% | EATON RAPIDS CITY 3 | 706 | 119 | 17% | 1697 | 11832 | 14% | DELTA TOWNSHIP 3 | 725 | 65 | 9% | 1762 | 12557 | 14% | DELTA TOWNSHIP 7 | 731 | 98 | 13% | 1860 | 13288 | 14% | CHARLOTTE CITY 2 2 | 744 | 148 | 20% | 2008 | 14032 | 14% | CHARLOTTE CITY 1 1 | 750 | 121 | 16% | 2129 | 14782 | 14% | DELTA TOWNSHIP 13 | 754 | 86 | 11% | 2215 | 15536 | 14% | SUNFIELD TOWNSHIP 1 | 785 | 160 | 20% | 2375 | 16321 | 15% | GRAND LEDGE CITY 2 | 785 | 100 | 13% | 2475 | 17106 | 14% | DELTA TOWNSHIP 9 | 799 | 81 | 10% | 2556 | 17905 | 14% | DELTA TOWNSHIP 8 | 806 | 122 | 15% | 2678 | 18711 | 14% | WALTON TOWNSHIP 1 | 837 | 130 | 16% | 2808 | 19548 | 14% | GRAND LEDGE CITY 1 | 895 | 88 | 10% | 2896 | 20443 | 14% | WINDSOR TOWNSHIP 3 | 912 | 118 | 13% | 3014 | 21355 | 14% | DELTA TOWNSHIP 14 | 925 | 108 | 12% | 3122 | 22280 | 14% | EATON RAPIDS TOWNSHIP 2 | 927 | 188 | 20% | 3310 | 23207 | 14% | DELTA TOWNSHIP 1 | 932 | 101 | 11% | 3411 | 24139 | 14% | POTTERVILLE CITY 1 | 946 | 166 | 18% | 3577 | 25085 | 14% | DELTA TOWNSHIP 10 | 953 | 126 | 13% | 3703 | 26038 | 14% | DELTA TOWNSHIP 12 | 975 | 79 | 8% | 3782 | 27013 | 14% | WINDSOR TOWNSHIP 1 | 980 | 169 | 17% | 3951 | 27993 | 14% | DELTA TOWNSHIP 5 | 993 | 119 | 12% | 4070 | 28986 | 14% | ONEIDA TOWNSHIP 1 | 1053 | 150 | 14% | 4220 | 30039 | 14% | DELTA TOWNSHIP 6 | 1077 | 85 | 8% | 4305 | 31116 | 14% | CARMEL TOWNSHIP 1 | 1091 | 181 | 17% | 4486 | 32207 | 14% | WINDSOR TOWNSHIP 2 | 1092 | 96 | 9% | 4582 | 33299 | 14% | BENTON TOWNSHIP 1 | 1125 | 135 | 12% | 4717 | 34424 | 14% | DELTA TOWNSHIP 2 | 1150 | 148 | 13% | 4865 | 35574 | 14% | DELTA TOWNSHIP 4 | 1172 | 119 | 10% | 4984 | 36746 | 14% | EATON TOWNSHIP 1 | 1249 | 254 | 20% | 5238 | 37995 | 14% | HAMLIN TOWNSHIP 1 | 1328 | 177 | 13% | 5415 | 39323 | 14% | LANSING CITY 3 0 | 938 | 121 | 13% | 5536 | 40261 | 14% |
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