Michigan
ALL votes from Eaton County.
Precincts added in order of number of votes.
Voters: 40,806 Precincts (polling places): 51 Average voters per precinct: 800 Votes in median precinct: 761Voting Machine: ES&S AutoMARK+Model 100 Ballot Marking Device or System+Optical Scan
Data from: Michigan Secretary of State
deltaM = -1.8%deltaMxV = -749
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Options:
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 DAVID VIVIANO
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Leftmost Digit of Vote Count - Frequency of Occurance
Benford's Law Distribution for FRANK SZYMANSKI
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Leftmost Digit of Vote Count - Frequency of Occurance
Benford's Law Distribution for DOUG DERN
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Leftmost Digit of Vote Count - Frequency of Occurance
Show Data
Leftmost Digit | Expected Distribution | DAVID VIVIANO | FRANK SZYMANSKI | DOUG DERN |
1 | 30.1% | 0% | 37.3% | 39.2% |
2 | 17.6% | 9.8% | 41.2% | 0% |
3 | 12.5% | 19.6% | 2% | 0% |
4 | 9.7% | 17.6% | 0% | 7.8% |
5 | 7.9% | 25.5% | 0% | 7.8% |
6 | 6.7% | 7.8% | 2% | 2% |
7 | 5.8% | 13.7% | 5.9% | 9.8% |
8 | 5.1% | 3.9% | 3.9% | 17.6% |
9 | 4.6% | 2% | 7.8% | 15.7% |
Detailed Data
Download graph dataDAVID VIVIANO (R): Percent of votes: 65.58%, Total votes: 26759 out of 40806
Data
Precinct | Total Votes |
Votes | Percent | Cumulative | Cumulative Total | Cumulative Pct | OLIVET CITY 1 | 355 | 249 | 70% | 249 | 355 | 70% | BELLEVUE TOWNSHIP 2 | 384 | 258 | 67% | 507 | 739 | 69% | EATON TOWNSHIP 2 | 416 | 292 | 70% | 799 | 1155 | 69% | BROOKFIELD TOWNSHIP 1 | 465 | 287 | 62% | 1086 | 1620 | 67% | EATON RAPIDS CITY 1 | 486 | 330 | 68% | 1416 | 2106 | 67% | EATON RAPIDS CITY 2 | 491 | 270 | 55% | 1686 | 2597 | 65% | GRAND LEDGE CITY 4 | 521 | 365 | 70% | 2051 | 3118 | 66% | DELTA TOWNSHIP 11 | 529 | 358 | 68% | 2409 | 3647 | 66% | ONEIDA TOWNSHIP 2 | 538 | 383 | 71% | 2792 | 4185 | 67% | CHARLOTTE CITY 1 2 | 580 | 395 | 68% | 3187 | 4765 | 67% | DELTA TOWNSHIP 16 | 586 | 376 | 64% | 3563 | 5351 | 67% | KALAMO TOWNSHIP 1 | 590 | 375 | 64% | 3938 | 5941 | 66% | BELLEVUE TOWNSHIP 1 | 604 | 388 | 64% | 4326 | 6545 | 66% | EATON RAPIDS TOWNSHIP 1 | 652 | 382 | 59% | 4708 | 7197 | 65% | ROXAND TOWNSHIP 1 | 670 | 394 | 59% | 5102 | 7867 | 65% | GRAND LEDGE CITY 3 | 674 | 446 | 66% | 5548 | 8541 | 65% | CHARLOTTE CITY 2 1 | 681 | 404 | 59% | 5952 | 9222 | 65% | VERMONTVILLE TOWNSHIP 1 | 685 | 505 | 74% | 6457 | 9907 | 65% | DELTA TOWNSHIP 15 | 690 | 457 | 66% | 6914 | 10597 | 65% | CHESTER TOWNSHIP 1 | 692 | 517 | 75% | 7431 | 11289 | 66% | DELTA TOWNSHIP 3 | 721 | 488 | 68% | 7919 | 12010 | 66% | EATON RAPIDS CITY 3 | 723 | 485 | 67% | 8404 | 12733 | 66% | DELTA TOWNSHIP 7 | 735 | 441 | 60% | 8845 | 13468 | 66% | CHARLOTTE CITY 2 2 | 759 | 497 | 65% | 9342 | 14227 | 66% | DELTA TOWNSHIP 13 | 761 | 501 | 66% | 9843 | 14988 | 66% | CHARLOTTE CITY 1 1 | 769 | 489 | 64% | 10332 | 15757 | 66% | DELTA TOWNSHIP 9 | 801 | 510 | 64% | 10842 | 16558 | 65% | DELTA TOWNSHIP 8 | 804 | 510 | 63% | 11352 | 17362 | 65% | SUNFIELD TOWNSHIP 1 | 814 | 547 | 67% | 11899 | 18176 | 65% | GRAND LEDGE CITY 2 | 818 | 487 | 60% | 12386 | 18994 | 65% | WALTON TOWNSHIP 1 | 847 | 514 | 61% | 12900 | 19841 | 65% | WINDSOR TOWNSHIP 3 | 917 | 573 | 62% | 13473 | 20758 | 65% | GRAND LEDGE CITY 1 | 919 | 645 | 70% | 14118 | 21677 | 65% | DELTA TOWNSHIP 14 | 929 | 577 | 62% | 14695 | 22606 | 65% | DELTA TOWNSHIP 1 | 938 | 595 | 63% | 15290 | 23544 | 65% | EATON RAPIDS TOWNSHIP 2 | 940 | 604 | 64% | 15894 | 24484 | 65% | POTTERVILLE CITY 1 | 957 | 556 | 58% | 16450 | 25441 | 65% | DELTA TOWNSHIP 10 | 968 | 569 | 59% | 17019 | 26409 | 64% | WINDSOR TOWNSHIP 1 | 989 | 606 | 61% | 17625 | 27398 | 64% | DELTA TOWNSHIP 12 | 996 | 714 | 72% | 18339 | 28394 | 65% | DELTA TOWNSHIP 5 | 1001 | 633 | 63% | 18972 | 29395 | 65% | ONEIDA TOWNSHIP 1 | 1079 | 744 | 69% | 19716 | 30474 | 65% | DELTA TOWNSHIP 6 | 1092 | 774 | 71% | 20490 | 31566 | 65% | WINDSOR TOWNSHIP 2 | 1102 | 763 | 69% | 21253 | 32668 | 65% | CARMEL TOWNSHIP 1 | 1103 | 773 | 70% | 22026 | 33771 | 65% | BENTON TOWNSHIP 1 | 1154 | 819 | 71% | 22845 | 34925 | 65% | DELTA TOWNSHIP 4 | 1166 | 758 | 65% | 23603 | 36091 | 65% | DELTA TOWNSHIP 2 | 1179 | 796 | 68% | 24399 | 37270 | 65% | EATON TOWNSHIP 1 | 1263 | 843 | 67% | 25242 | 38533 | 66% | HAMLIN TOWNSHIP 1 | 1348 | 938 | 70% | 26180 | 39881 | 66% | LANSING CITY 3 0 | 925 | 579 | 63% | 26759 | 40806 | 66% |
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FRANK SZYMANSKI (D): Percent of votes: 22.4%, Total votes: 9141 out of 40806
Data
Precinct | Total Votes |
Votes | Percent | Cumulative | Cumulative Total | Cumulative Pct | OLIVET CITY 1 | 355 | 65 | 18% | 65 | 355 | 18% | BELLEVUE TOWNSHIP 2 | 384 | 79 | 21% | 144 | 739 | 19% | EATON TOWNSHIP 2 | 416 | 71 | 17% | 215 | 1155 | 19% | BROOKFIELD TOWNSHIP 1 | 465 | 88 | 19% | 303 | 1620 | 19% | EATON RAPIDS CITY 1 | 486 | 83 | 17% | 386 | 2106 | 18% | EATON RAPIDS CITY 2 | 491 | 120 | 24% | 506 | 2597 | 19% | GRAND LEDGE CITY 4 | 521 | 111 | 21% | 617 | 3118 | 20% | DELTA TOWNSHIP 11 | 529 | 116 | 22% | 733 | 3647 | 20% | ONEIDA TOWNSHIP 2 | 538 | 99 | 18% | 832 | 4185 | 20% | CHARLOTTE CITY 1 2 | 580 | 95 | 16% | 927 | 4765 | 19% | DELTA TOWNSHIP 16 | 586 | 137 | 23% | 1064 | 5351 | 20% | KALAMO TOWNSHIP 1 | 590 | 98 | 17% | 1162 | 5941 | 20% | BELLEVUE TOWNSHIP 1 | 604 | 101 | 17% | 1263 | 6545 | 19% | EATON RAPIDS TOWNSHIP 1 | 652 | 135 | 21% | 1398 | 7197 | 19% | ROXAND TOWNSHIP 1 | 670 | 134 | 20% | 1532 | 7867 | 19% | GRAND LEDGE CITY 3 | 674 | 180 | 27% | 1712 | 8541 | 20% | CHARLOTTE CITY 2 1 | 681 | 145 | 21% | 1857 | 9222 | 20% | VERMONTVILLE TOWNSHIP 1 | 685 | 93 | 14% | 1950 | 9907 | 20% | DELTA TOWNSHIP 15 | 690 | 153 | 22% | 2103 | 10597 | 20% | CHESTER TOWNSHIP 1 | 692 | 78 | 11% | 2181 | 11289 | 19% | DELTA TOWNSHIP 3 | 721 | 150 | 21% | 2331 | 12010 | 19% | EATON RAPIDS CITY 3 | 723 | 183 | 25% | 2514 | 12733 | 20% | DELTA TOWNSHIP 7 | 735 | 206 | 28% | 2720 | 13468 | 20% | CHARLOTTE CITY 2 2 | 759 | 194 | 26% | 2914 | 14227 | 20% | DELTA TOWNSHIP 13 | 761 | 183 | 24% | 3097 | 14988 | 21% | CHARLOTTE CITY 1 1 | 769 | 205 | 27% | 3302 | 15757 | 21% | DELTA TOWNSHIP 9 | 801 | 196 | 24% | 3498 | 16558 | 21% | DELTA TOWNSHIP 8 | 804 | 210 | 26% | 3708 | 17362 | 21% | SUNFIELD TOWNSHIP 1 | 814 | 191 | 23% | 3899 | 18176 | 21% | GRAND LEDGE CITY 2 | 818 | 212 | 26% | 4111 | 18994 | 22% | WALTON TOWNSHIP 1 | 847 | 146 | 17% | 4257 | 19841 | 21% | WINDSOR TOWNSHIP 3 | 917 | 211 | 23% | 4468 | 20758 | 22% | GRAND LEDGE CITY 1 | 919 | 190 | 21% | 4658 | 21677 | 21% | DELTA TOWNSHIP 14 | 929 | 264 | 28% | 4922 | 22606 | 22% | DELTA TOWNSHIP 1 | 938 | 231 | 25% | 5153 | 23544 | 22% | EATON RAPIDS TOWNSHIP 2 | 940 | 250 | 27% | 5403 | 24484 | 22% | POTTERVILLE CITY 1 | 957 | 218 | 23% | 5621 | 25441 | 22% | DELTA TOWNSHIP 10 | 968 | 273 | 28% | 5894 | 26409 | 22% | WINDSOR TOWNSHIP 1 | 989 | 267 | 27% | 6161 | 27398 | 22% | DELTA TOWNSHIP 12 | 996 | 197 | 20% | 6358 | 28394 | 22% | DELTA TOWNSHIP 5 | 1001 | 275 | 27% | 6633 | 29395 | 23% | ONEIDA TOWNSHIP 1 | 1079 | 245 | 23% | 6878 | 30474 | 23% | DELTA TOWNSHIP 6 | 1092 | 211 | 19% | 7089 | 31566 | 22% | WINDSOR TOWNSHIP 2 | 1102 | 233 | 21% | 7322 | 32668 | 22% | CARMEL TOWNSHIP 1 | 1103 | 240 | 22% | 7562 | 33771 | 22% | BENTON TOWNSHIP 1 | 1154 | 213 | 18% | 7775 | 34925 | 22% | DELTA TOWNSHIP 4 | 1166 | 286 | 25% | 8061 | 36091 | 22% | DELTA TOWNSHIP 2 | 1179 | 293 | 25% | 8354 | 37270 | 22% | EATON TOWNSHIP 1 | 1263 | 316 | 25% | 8670 | 38533 | 23% | HAMLIN TOWNSHIP 1 | 1348 | 234 | 17% | 8904 | 39881 | 22% | LANSING CITY 3 0 | 925 | 237 | 26% | 9141 | 40806 | 22% |
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DOUG DERN (I): Percent of votes: 12.02%, Total votes: 4906 out of 40806
Data
Precinct | Total Votes |
Votes | Percent | Cumulative | Cumulative Total | Cumulative Pct | OLIVET CITY 1 | 355 | 41 | 12% | 41 | 355 | 12% | BELLEVUE TOWNSHIP 2 | 384 | 47 | 12% | 88 | 739 | 12% | EATON TOWNSHIP 2 | 416 | 53 | 13% | 141 | 1155 | 12% | BROOKFIELD TOWNSHIP 1 | 465 | 90 | 19% | 231 | 1620 | 14% | EATON RAPIDS CITY 1 | 486 | 73 | 15% | 304 | 2106 | 14% | EATON RAPIDS CITY 2 | 491 | 101 | 21% | 405 | 2597 | 16% | GRAND LEDGE CITY 4 | 521 | 45 | 9% | 450 | 3118 | 14% | DELTA TOWNSHIP 11 | 529 | 55 | 10% | 505 | 3647 | 14% | ONEIDA TOWNSHIP 2 | 538 | 56 | 10% | 561 | 4185 | 13% | CHARLOTTE CITY 1 2 | 580 | 90 | 16% | 651 | 4765 | 14% | DELTA TOWNSHIP 16 | 586 | 73 | 12% | 724 | 5351 | 14% | KALAMO TOWNSHIP 1 | 590 | 117 | 20% | 841 | 5941 | 14% | BELLEVUE TOWNSHIP 1 | 604 | 115 | 19% | 956 | 6545 | 15% | EATON RAPIDS TOWNSHIP 1 | 652 | 135 | 21% | 1091 | 7197 | 15% | ROXAND TOWNSHIP 1 | 670 | 142 | 21% | 1233 | 7867 | 16% | GRAND LEDGE CITY 3 | 674 | 48 | 7% | 1281 | 8541 | 15% | CHARLOTTE CITY 2 1 | 681 | 132 | 19% | 1413 | 9222 | 15% | VERMONTVILLE TOWNSHIP 1 | 685 | 87 | 13% | 1500 | 9907 | 15% | DELTA TOWNSHIP 15 | 690 | 80 | 12% | 1580 | 10597 | 15% | CHESTER TOWNSHIP 1 | 692 | 97 | 14% | 1677 | 11289 | 15% | DELTA TOWNSHIP 3 | 721 | 83 | 12% | 1760 | 12010 | 15% | EATON RAPIDS CITY 3 | 723 | 55 | 8% | 1815 | 12733 | 14% | DELTA TOWNSHIP 7 | 735 | 88 | 12% | 1903 | 13468 | 14% | CHARLOTTE CITY 2 2 | 759 | 68 | 9% | 1971 | 14227 | 14% | DELTA TOWNSHIP 13 | 761 | 77 | 10% | 2048 | 14988 | 14% | CHARLOTTE CITY 1 1 | 769 | 75 | 10% | 2123 | 15757 | 13% | DELTA TOWNSHIP 9 | 801 | 95 | 12% | 2218 | 16558 | 13% | DELTA TOWNSHIP 8 | 804 | 84 | 10% | 2302 | 17362 | 13% | SUNFIELD TOWNSHIP 1 | 814 | 76 | 9% | 2378 | 18176 | 13% | GRAND LEDGE CITY 2 | 818 | 119 | 15% | 2497 | 18994 | 13% | WALTON TOWNSHIP 1 | 847 | 187 | 22% | 2684 | 19841 | 14% | WINDSOR TOWNSHIP 3 | 917 | 133 | 15% | 2817 | 20758 | 14% | GRAND LEDGE CITY 1 | 919 | 84 | 9% | 2901 | 21677 | 13% | DELTA TOWNSHIP 14 | 929 | 88 | 9% | 2989 | 22606 | 13% | DELTA TOWNSHIP 1 | 938 | 112 | 12% | 3101 | 23544 | 13% | EATON RAPIDS TOWNSHIP 2 | 940 | 86 | 9% | 3187 | 24484 | 13% | POTTERVILLE CITY 1 | 957 | 183 | 19% | 3370 | 25441 | 13% | DELTA TOWNSHIP 10 | 968 | 126 | 13% | 3496 | 26409 | 13% | WINDSOR TOWNSHIP 1 | 989 | 116 | 12% | 3612 | 27398 | 13% | DELTA TOWNSHIP 12 | 996 | 85 | 9% | 3697 | 28394 | 13% | DELTA TOWNSHIP 5 | 1001 | 93 | 9% | 3790 | 29395 | 13% | ONEIDA TOWNSHIP 1 | 1079 | 90 | 8% | 3880 | 30474 | 13% | DELTA TOWNSHIP 6 | 1092 | 107 | 10% | 3987 | 31566 | 13% | WINDSOR TOWNSHIP 2 | 1102 | 106 | 10% | 4093 | 32668 | 13% | CARMEL TOWNSHIP 1 | 1103 | 90 | 8% | 4183 | 33771 | 12% | BENTON TOWNSHIP 1 | 1154 | 122 | 11% | 4305 | 34925 | 12% | DELTA TOWNSHIP 4 | 1166 | 122 | 10% | 4427 | 36091 | 12% | DELTA TOWNSHIP 2 | 1179 | 90 | 8% | 4517 | 37270 | 12% | EATON TOWNSHIP 1 | 1263 | 104 | 8% | 4621 | 38533 | 12% | HAMLIN TOWNSHIP 1 | 1348 | 176 | 13% | 4797 | 39881 | 12% | LANSING CITY 3 0 | 925 | 109 | 12% | 4906 | 40806 | 12% |
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