Ohio
ALL votes from Miami County.
Precincts added in order of number of votes.
Voters: 50,199 Precincts (polling places): 85 Average voters per precinct: 591 Votes in median precinct: 572Voting Machine:
deltaM = 2.8%deltaMxV = 1,408
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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 Donald J. Trump
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Leftmost Digit of Vote Count - Frequency of Occurance
Benford's Law Distribution for Hillary Clinton
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Leftmost Digit of Vote Count - Frequency of Occurance
Show Data
Leftmost Digit | Expected Distribution | Donald J. Trump | Hillary Clinton |
1 | 30.1% | 2.4% | 69.4% |
2 | 17.6% | 15.3% | 16.5% |
3 | 12.5% | 25.9% | 1.2% |
4 | 9.7% | 25.9% | 0% |
5 | 7.9% | 18.8% | 0% |
6 | 6.7% | 7.1% | 0% |
7 | 5.8% | 4.7% | 2.4% |
8 | 5.1% | 0% | 4.7% |
9 | 4.6% | 0% | 5.9% |
Detailed Data
Download graph dataDonald J. Trump (R): Percent of votes: 73.86%, Total votes: 37079 out of 50199
Data
Precinct | Total Votes |
Votes | Percent | Turnout | Cumulative | Cumulative Total | Cumulative Pct | PRECINCT TROY 3-A - ABE | 254 | 165 | 65% | 53% | 165 | 254 | 65% | PRECINCT PIQUA 1-A - AAA | 285 | 197 | 69% | 44% | 362 | 539 | 67% | PRECINCT TROY 3-C - ADB | 302 | 209 | 69% | 43% | 571 | 841 | 68% | PRECINCT TROY 1-B - AAY | 332 | 221 | 67% | 59% | 792 | 1173 | 68% | PRECINCT TROY 4-B - ABI | 359 | 243 | 68% | 63% | 1035 | 1532 | 68% | PRECINCT PIQUA 3-B / C - AAH | 368 | 246 | 67% | 50% | 1281 | 1900 | 67% | PRECINCT PIQUA 1-B / D - AAB | 390 | 250 | 64% | 46% | 1531 | 2290 | 67% | PRECINCT TROY 6-A - ABN | 394 | 260 | 66% | 62% | 1791 | 2684 | 67% | PRECINCT HUBER HEIGHTS B - ADH | 412 | 294 | 71% | 78% | 2085 | 3096 | 67% | PRECINCT PIQUA 4-B / C - AAK | 409 | 284 | 69% | 56% | 2369 | 3505 | 68% | PRECINCT PIQUA 3-D / E - AAI | 414 | 276 | 67% | 54% | 2645 | 3919 | 67% | PRECINCT TROY 6-D - AAQ | 428 | 263 | 61% | 63% | 2908 | 4347 | 67% | PRECINCT CONCORD WEST - ABW | 427 | 299 | 70% | 78% | 3207 | 4774 | 67% | PRECINCT TROY 3-D - ABG | 340 | 253 | 74% | 51% | 3460 | 5114 | 68% | PRECINCT TIPP CITY A - ADG | 518 | 352 | 68% | 94% | 3812 | 5632 | 68% | PRECINCT TROY 1-D - ABA | 430 | 311 | 72% | 59% | 4123 | 6062 | 68% | PRECINCT BRADFORD - ACJ | 435 | 325 | 75% | 66% | 4448 | 6497 | 68% | PRECINCT LUDLOW CENTRAL - ACU | 450 | 373 | 83% | 71% | 4821 | 6947 | 69% | PRECINCT TROY 3-B - ABF | 426 | 302 | 71% | 55% | 5123 | 7373 | 69% | PRECINCT TROY 1-A - AAX | 456 | 322 | 71% | 66% | 5445 | 7829 | 70% | PRECINCT PIQUA 1-C / E - AAC | 456 | 317 | 70% | 56% | 5762 | 8285 | 70% | PRECINCT PIQUA 2-A - AAD | 458 | 307 | 67% | 58% | 6069 | 8743 | 69% | PRECINCT PIQUA 5-D - AAP | 481 | 335 | 70% | 74% | 6404 | 9224 | 69% | PRECINCT COVINGTON A / B - ACK | 472 | 369 | 78% | 62% | 6773 | 9696 | 70% | PRECINCT PIQUA 2-B / C - AAE | 473 | 318 | 67% | 59% | 7091 | 10169 | 70% | PRECINCT MONROE SOUTH - ACD | 483 | 385 | 80% | 72% | 7476 | 10652 | 70% | PRECINCT NEWTON WEST - ACN | 492 | 398 | 81% | 80% | 7874 | 11144 | 71% | PRECINCT CONCORD EAST - ABY | 493 | 404 | 82% | 73% | 8278 | 11637 | 71% | PRECINCT CONCORD SOUTH - ABZ | 498 | 364 | 73% | 79% | 8642 | 12135 | 71% | PRECINCT STAUNTON SOUTH - ACR | 515 | 367 | 71% | 80% | 9009 | 12650 | 71% | PRECINCT PIQUA 4-D / E - AAL | 463 | 332 | 72% | 55% | 9341 | 13113 | 71% | PRECINCT TROY 6-B - ABO | 499 | 358 | 72% | 67% | 9699 | 13612 | 71% | PRECINCT POTSDAM - ACV | 507 | 435 | 86% | 78% | 10134 | 14119 | 72% | PRECINCT PIQUA 5-B - AAN | 515 | 391 | 76% | 79% | 10525 | 14634 | 72% | PRECINCT PIQUA 5-A - AAM | 521 | 364 | 70% | 61% | 10889 | 15155 | 72% | PRECINCT BETHEL WEST - ABS | 533 | 435 | 82% | 77% | 11324 | 15688 | 72% | PRECINCT TROY 2-C - ABD | 364 | 270 | 74% | 37% | 11594 | 16052 | 72% | PRECINCT LAURA - ACT | 541 | 439 | 81% | 72% | 12033 | 16593 | 73% | PRECINCT SPRINGCREEK WEST - ADF | 696 | 439 | 63% | 98% | 12472 | 17289 | 72% | PRECINCT PIQUA 4-A - AAJ | 540 | 377 | 70% | 62% | 12849 | 17829 | 72% | PRECINCT UNION SOUTH CENTRAL - ACW | 547 | 441 | 81% | 80% | 13290 | 18376 | 72% | PRECINCT SPRINGCREEK EAST - ACP | 572 | 440 | 77% | 72% | 13730 | 18948 | 72% | PRECINCT PIQUA 5-C - AAO | 599 | 437 | 73% | 77% | 14167 | 19547 | 72% | PRECINCT TROY 1-C - AAZ | 522 | 417 | 80% | 63% | 14584 | 20069 | 73% | PRECINCT NEWBERRY WEST - ACI | 670 | 497 | 74% | 84% | 15081 | 20739 | 73% | PRECINCT PLEASANT HILL - ACO | 591 | 475 | 80% | 73% | 15556 | 21330 | 73% | PRECINCT PIQUA 2-D - AAF | 600 | 407 | 68% | 65% | 15963 | 21930 | 73% | PRECINCT PIQUA 3-A - AAG | 601 | 381 | 63% | 56% | 16344 | 22531 | 73% | PRECINCT MONROE NORTH EAST - ACE | 624 | 472 | 76% | 71% | 16816 | 23155 | 73% | PRECINCT WEST MILTON C - ACZ | 679 | 478 | 70% | 72% | 17294 | 23834 | 73% | PRECINCT TIPP CITY G - AAW | 564 | 415 | 74% | 66% | 17709 | 24398 | 73% | PRECINCT TIPP CITY H - ABP | 616 | 442 | 72% | 69% | 18151 | 25014 | 73% | PRECINCT COVINGTON C / D - ACL | 631 | 499 | 79% | 72% | 18650 | 25645 | 73% | PRECINCT STAUNTON NORTH - ACQ | 643 | 525 | 82% | 82% | 19175 | 26288 | 73% | PRECINCT TIPP CITY B - AAR | 649 | 486 | 75% | 74% | 19661 | 26937 | 73% | PRECINCT TROY 2-A - ABB | 654 | 455 | 70% | 80% | 20116 | 27591 | 73% | PRECINCT TROY 4-C - ABJ | 640 | 377 | 59% | 53% | 20493 | 28231 | 73% | PRECINCT TROY 2-B - ABC | 646 | 451 | 70% | 66% | 20944 | 28877 | 73% | PRECINCT TROY 5-B - ABL | 653 | 405 | 62% | 70% | 21349 | 29530 | 72% | PRECINCT MONROE EAST CENTRAL - ACC | 661 | 519 | 79% | 76% | 21868 | 30191 | 72% | PRECINCT TIPP CITY C - AAS | 677 | 513 | 76% | 68% | 22381 | 30868 | 73% | PRECINCT BETHEL SOUTH CENTRAL - ABQ | 685 | 544 | 79% | 74% | 22925 | 31553 | 73% | PRECINCT NEWBERRY EAST - ACH | 707 | 575 | 81% | 73% | 23500 | 32260 | 73% | PRECINCT NEWTON EAST - ACM | 700 | 580 | 83% | 77% | 24080 | 32960 | 73% | PRECINCT TROY 6-C - ADD | 723 | 520 | 72% | 82% | 24600 | 33683 | 73% | PRECINCT TIPP CITY F - AAV | 742 | 569 | 77% | 79% | 25169 | 34425 | 73% | PRECINCT WEST MILTON A - ACX | 719 | 551 | 77% | 65% | 25720 | 35144 | 73% | PRECINCT TROY 5-A - ADC | 749 | 480 | 64% | 74% | 26200 | 35893 | 73% | PRECINCT CONCORD NORTH - ABU | 754 | 595 | 79% | 73% | 26795 | 36647 | 73% | PRECINCT BETHEL SOUTH EAST - ABR | 763 | 582 | 76% | 81% | 27377 | 37410 | 73% | PRECINCT BETHEL EAST - ABT | 768 | 610 | 79% | 78% | 27987 | 38178 | 73% | PRECINCT WEST MILTON B - ACY | 762 | 588 | 77% | 72% | 28575 | 38940 | 73% | PRECINCT TROY 5-C - ABM | 755 | 526 | 70% | 63% | 29101 | 39695 | 73% | PRECINCT BROWN / FLETCHER - ABV | 789 | 658 | 83% | 74% | 29759 | 40484 | 74% | PRECINCT TIPP CITY D - AAT | 786 | 552 | 70% | 70% | 30311 | 41270 | 73% | PRECINCT TIPP CITY E - AAU | 786 | 552 | 70% | 73% | 30863 | 42056 | 73% | PRECINCT MONROE WEST - ACG | 812 | 663 | 82% | 80% | 31526 | 42868 | 74% | PRECINCT MONROE SOUTH EAST - ACF | 823 | 622 | 76% | 76% | 32148 | 43691 | 74% | PRECINCT UNION EAST - ACS | 872 | 695 | 80% | 76% | 32843 | 44563 | 74% | PRECINCT WASHINGTON - ADA | 887 | 707 | 80% | 79% | 33550 | 45450 | 74% | PRECINCT HUBER HEIGHTS A - ADE | 912 | 591 | 65% | 76% | 34141 | 46362 | 74% | PRECINCT ELIZABETH - ACA | 941 | 735 | 78% | 80% | 34876 | 47303 | 74% | PRECINCT CONCORD SOUTH EAST - ABX | 940 | 669 | 71% | 75% | 35545 | 48243 | 74% | PRECINCT LOSTCREEK / CASSTOWN - ACB | 942 | 760 | 81% | 77% | 36305 | 49185 | 74% | PRECINCT TROY 4-A - ABH | 1014 | 774 | 76% | 78% | 37079 | 50199 | 74% |
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Hillary Clinton (D): Percent of votes: 26.14%, Total votes: 13120 out of 50199
Data
Precinct | Total Votes |
Votes | Percent | Turnout | Cumulative | Cumulative Total | Cumulative Pct | PRECINCT TROY 3-A - ABE | 254 | 89 | 35% | 53% | 89 | 254 | 35% | PRECINCT PIQUA 1-A - AAA | 285 | 88 | 31% | 44% | 177 | 539 | 33% | PRECINCT TROY 3-C - ADB | 302 | 93 | 31% | 43% | 270 | 841 | 32% | PRECINCT TROY 1-B - AAY | 332 | 111 | 33% | 59% | 381 | 1173 | 32% | PRECINCT TROY 4-B - ABI | 359 | 116 | 32% | 63% | 497 | 1532 | 32% | PRECINCT PIQUA 3-B / C - AAH | 368 | 122 | 33% | 50% | 619 | 1900 | 33% | PRECINCT PIQUA 1-B / D - AAB | 390 | 140 | 36% | 46% | 759 | 2290 | 33% | PRECINCT TROY 6-A - ABN | 394 | 134 | 34% | 62% | 893 | 2684 | 33% | PRECINCT HUBER HEIGHTS B - ADH | 412 | 118 | 29% | 78% | 1011 | 3096 | 33% | PRECINCT PIQUA 4-B / C - AAK | 409 | 125 | 31% | 56% | 1136 | 3505 | 32% | PRECINCT PIQUA 3-D / E - AAI | 414 | 138 | 33% | 54% | 1274 | 3919 | 33% | PRECINCT TROY 6-D - AAQ | 428 | 165 | 39% | 63% | 1439 | 4347 | 33% | PRECINCT CONCORD WEST - ABW | 427 | 128 | 30% | 78% | 1567 | 4774 | 33% | PRECINCT TIPP CITY A - ADG | 340 | 87 | 26% | 61% | 1654 | 5114 | 32% | PRECINCT TROY 3-D - ABG | 518 | 166 | 32% | 78% | 1820 | 5632 | 32% | PRECINCT TROY 1-D - ABA | 430 | 119 | 28% | 59% | 1939 | 6062 | 32% | PRECINCT BRADFORD - ACJ | 435 | 110 | 25% | 66% | 2049 | 6497 | 32% | PRECINCT LUDLOW CENTRAL - ACU | 450 | 77 | 17% | 71% | 2126 | 6947 | 31% | PRECINCT TROY 3-B - ABF | 426 | 124 | 29% | 55% | 2250 | 7373 | 31% | PRECINCT TROY 1-A - AAX | 456 | 134 | 29% | 66% | 2384 | 7829 | 30% | PRECINCT PIQUA 1-C / E - AAC | 456 | 139 | 30% | 56% | 2523 | 8285 | 30% | PRECINCT PIQUA 2-A - AAD | 458 | 151 | 33% | 58% | 2674 | 8743 | 31% | PRECINCT PIQUA 5-D - AAP | 481 | 146 | 30% | 74% | 2820 | 9224 | 31% | PRECINCT COVINGTON A / B - ACK | 472 | 103 | 22% | 62% | 2923 | 9696 | 30% | PRECINCT PIQUA 2-B / C - AAE | 473 | 155 | 33% | 59% | 3078 | 10169 | 30% | PRECINCT MONROE SOUTH - ACD | 483 | 98 | 20% | 72% | 3176 | 10652 | 30% | PRECINCT NEWTON WEST - ACN | 492 | 94 | 19% | 80% | 3270 | 11144 | 29% | PRECINCT CONCORD EAST - ABY | 493 | 89 | 18% | 73% | 3359 | 11637 | 29% | PRECINCT CONCORD SOUTH - ABZ | 498 | 134 | 27% | 79% | 3493 | 12135 | 29% | PRECINCT PIQUA 4-D / E - AAL | 515 | 148 | 29% | 61% | 3641 | 12650 | 29% | PRECINCT STAUNTON SOUTH - ACR | 463 | 131 | 28% | 72% | 3772 | 13113 | 29% | PRECINCT TROY 6-B - ABO | 499 | 141 | 28% | 67% | 3913 | 13612 | 29% | PRECINCT POTSDAM - ACV | 507 | 72 | 14% | 78% | 3985 | 14119 | 28% | PRECINCT PIQUA 5-B - AAN | 515 | 124 | 24% | 79% | 4109 | 14634 | 28% | PRECINCT PIQUA 5-A - AAM | 521 | 157 | 30% | 61% | 4266 | 15155 | 28% | PRECINCT BETHEL WEST - ABS | 533 | 98 | 18% | 77% | 4364 | 15688 | 28% | PRECINCT LAURA - ACT | 364 | 94 | 26% | 49% | 4458 | 16052 | 28% | PRECINCT SPRINGCREEK WEST - ADF | 541 | 102 | 19% | 76% | 4560 | 16593 | 27% | PRECINCT TROY 2-C - ABD | 696 | 257 | 37% | 72% | 4817 | 17289 | 28% | PRECINCT PIQUA 4-A - AAJ | 540 | 163 | 30% | 62% | 4980 | 17829 | 28% | PRECINCT UNION SOUTH CENTRAL - ACW | 547 | 106 | 19% | 80% | 5086 | 18376 | 28% | PRECINCT SPRINGCREEK EAST - ACP | 572 | 132 | 23% | 72% | 5218 | 18948 | 28% | PRECINCT PIQUA 5-C - AAO | 599 | 162 | 27% | 77% | 5380 | 19547 | 28% | PRECINCT NEWBERRY WEST - ACI | 522 | 105 | 20% | 65% | 5485 | 20069 | 27% | PRECINCT TROY 1-C - AAZ | 670 | 173 | 26% | 81% | 5658 | 20739 | 27% | PRECINCT PLEASANT HILL - ACO | 591 | 116 | 20% | 73% | 5774 | 21330 | 27% | PRECINCT PIQUA 2-D - AAF | 600 | 193 | 32% | 65% | 5967 | 21930 | 27% | PRECINCT PIQUA 3-A - AAG | 601 | 220 | 37% | 56% | 6187 | 22531 | 27% | PRECINCT MONROE NORTH EAST - ACE | 624 | 152 | 24% | 71% | 6339 | 23155 | 27% | PRECINCT TIPP CITY G - AAW | 679 | 201 | 30% | 80% | 6540 | 23834 | 27% | PRECINCT WEST MILTON C - ACZ | 564 | 149 | 26% | 60% | 6689 | 24398 | 27% | PRECINCT TIPP CITY H - ABP | 616 | 174 | 28% | 69% | 6863 | 25014 | 27% | PRECINCT COVINGTON C / D - ACL | 631 | 132 | 21% | 72% | 6995 | 25645 | 27% | PRECINCT STAUNTON NORTH - ACQ | 643 | 118 | 18% | 82% | 7113 | 26288 | 27% | PRECINCT TIPP CITY B - AAR | 649 | 163 | 25% | 74% | 7276 | 26937 | 27% | PRECINCT TROY 2-A - ABB | 654 | 199 | 30% | 80% | 7475 | 27591 | 27% | PRECINCT TROY 4-C - ABJ | 640 | 263 | 41% | 53% | 7738 | 28231 | 27% | PRECINCT TROY 2-B - ABC | 646 | 195 | 30% | 66% | 7933 | 28877 | 27% | PRECINCT TROY 5-B - ABL | 653 | 248 | 38% | 70% | 8181 | 29530 | 28% | PRECINCT MONROE EAST CENTRAL - ACC | 661 | 142 | 21% | 76% | 8323 | 30191 | 28% | PRECINCT TIPP CITY C - AAS | 677 | 164 | 24% | 68% | 8487 | 30868 | 27% | PRECINCT BETHEL SOUTH CENTRAL - ABQ | 685 | 141 | 21% | 74% | 8628 | 31553 | 27% | PRECINCT NEWBERRY EAST - ACH | 707 | 132 | 19% | 73% | 8760 | 32260 | 27% | PRECINCT NEWTON EAST - ACM | 700 | 120 | 17% | 77% | 8880 | 32960 | 27% | PRECINCT TROY 6-C - ADD | 723 | 203 | 28% | 82% | 9083 | 33683 | 27% | PRECINCT WEST MILTON A - ACX | 742 | 173 | 23% | 67% | 9256 | 34425 | 27% | PRECINCT TIPP CITY F - AAV | 719 | 168 | 23% | 77% | 9424 | 35144 | 27% | PRECINCT TROY 5-A - ADC | 749 | 269 | 36% | 74% | 9693 | 35893 | 27% | PRECINCT CONCORD NORTH - ABU | 754 | 159 | 21% | 73% | 9852 | 36647 | 27% | PRECINCT BETHEL SOUTH EAST - ABR | 763 | 181 | 24% | 81% | 10033 | 37410 | 27% | PRECINCT BETHEL EAST - ABT | 768 | 158 | 21% | 78% | 10191 | 38178 | 27% | PRECINCT WEST MILTON B - ACY | 762 | 174 | 23% | 72% | 10365 | 38940 | 27% | PRECINCT TROY 5-C - ABM | 755 | 229 | 30% | 63% | 10594 | 39695 | 27% | PRECINCT BROWN / FLETCHER - ABV | 789 | 131 | 17% | 74% | 10725 | 40484 | 26% | PRECINCT TIPP CITY D - AAT | 786 | 234 | 30% | 70% | 10959 | 41270 | 27% | PRECINCT TIPP CITY E - AAU | 786 | 234 | 30% | 73% | 11193 | 42056 | 27% | PRECINCT MONROE WEST - ACG | 812 | 149 | 18% | 80% | 11342 | 42868 | 26% | PRECINCT MONROE SOUTH EAST - ACF | 823 | 201 | 24% | 76% | 11543 | 43691 | 26% | PRECINCT UNION EAST - ACS | 872 | 177 | 20% | 76% | 11720 | 44563 | 26% | PRECINCT WASHINGTON - ADA | 887 | 180 | 20% | 79% | 11900 | 45450 | 26% | PRECINCT HUBER HEIGHTS A - ADE | 912 | 321 | 35% | 76% | 12221 | 46362 | 26% | PRECINCT ELIZABETH - ACA | 941 | 206 | 22% | 80% | 12427 | 47303 | 26% | PRECINCT CONCORD SOUTH EAST - ABX | 940 | 271 | 29% | 75% | 12698 | 48243 | 26% | PRECINCT LOSTCREEK / CASSTOWN - ACB | 942 | 182 | 19% | 77% | 12880 | 49185 | 26% | PRECINCT TROY 4-A - ABH | 1014 | 240 | 24% | 78% | 13120 | 50199 | 26% |
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