This quantity is minimized for an unbiased estimator that is a function of a complete and sufficient statistic by the Lehmann–Scheffé (“LAY-man shef-FAY”) theorem. Ronald Fisher developed a test that generalizes the t-test to more than two groups named for the “analysis of” this quantity. For two random variables X and Y, the expected value of X times Y minus the product of the expected values of X and Y gives this quantity’s “co-” form. This quantity is the second central moment of a distribution, and is equal to the mean for a Poisson (“pwa-SAWN”) distribution. For a random variable X, this quantity is the [read slowly] expected value of X squared, minus the square of the expected value of X. For 10 points, the square of the standard deviation is equal to what measure of spread? ■END■
| Upstate NY | Main | Y | 5 | 100% | 0% | 0% | 90.40 |
| Southern California | Main | Y | 7 | 100% | 0% | 29% | 75.00 |
| Eastern Canada (1) | Main | Y | 5 | 100% | 0% | 0% | 84.40 |
| Eastern Canada (2) | Main | Y | 9 | 89% | 0% | 22% | 83.25 |
| Florida | Main | Y | 4 | 50% | 0% | 50% | 102.00 |
| Great Lakes | Main | Y | 12 | 100% | 0% | 17% | 83.00 |
| Lower Mid-Atlantic | Main | Y | 9 | 100% | 0% | 0% | 79.56 |
| Upper Mid-Atlantic | Main | Y | 10 | 100% | 0% | 40% | 86.30 |
| Upper Mid-Atlantic | Main | Y | 1 | 100% | 0% | 0% | 74.00 |
| Midwest | Main | Y | 9 | 89% | 0% | 22% | 80.00 |
| North | Main | Y | 4 | 100% | 0% | 0% | 66.25 |
| Northeast | Main | Y | 11 | 100% | 0% | 18% | 82.00 |
| Pacific | Main | Y | 8 | 100% | 0% | 25% | 88.88 |
| South Central | Main | Y | 6 | 100% | 0% | 17% | 112.67 |
| Southeast | Main | Y | 13 | 92% | 0% | 23% | 95.33 |
| Northern California | Main | Y | 4 | 100% | 0% | 25% | 72.00 |
| UK (South) | UK | Y | 7 | 100% | 0% | 29% | 76.14 |
| UK (North) | UK | Y | 5 | 100% | 0% | 20% | 83.80 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Justin Sato | Stanford A | UCSC | 7 | -5 |
| Zach Majorowicz | St. Thomas | Macalester | 16 | 10 |
| Ada Bendel | Bristol | Imperial C | 21 | -5 |
| Yoyo Liu | British Columbia C | Washington State | 36 | -5 |
| March Delfin | UCSD A | UCSD B | 40 | -5 |
| Matthew Westley | Purdue A | Chicago B | 40 | 10 |
| Vijay Hans | Berkeley Boss Bandit | Stanford B | 42 | 10 |
| Hansen Jin | Berkeley Skeleton King | Berkeley Little Prince | 42 | 10 |
| Charlotte Bauer | McGill C | McGill A | 42 | 10 |
| Devito Stevanus | McGill B | Ottawa D | 42 | 10 |
| Deepanshi Matai | Toronto C | Toronto B | 42 | 10 |
| Matthew Lam | Ohio State A | Louisville B | 42 | 10 |
| Thomas Jenkins | Michigan B | Michigan A | 42 | 10 |
| Nate Brown | CWRU C | Michigan D | 42 | 10 |
| Jason Thieu | Michigan State A | Louisville A | 42 | -5 |
| Walter Carson | NCSU B | Liberty B | 42 | 10 |
| Zachary Bornstein | Virginia Tech A | UNC A | 42 | 10 |
| Charlie Weaver | Virginia Tech B | Virginia A | 42 | 10 |
| Eric Morshed | Johns Hopkins | George Mason B | 42 | -5 |
| Johnathan Ahdout | Princeton | Columbia A | 42 | 10 |
| Aidan Drain | NYU C | Rutgers C | 42 | -5 |
| Anthony Xu | Amherst A | Tufts A | 42 | -5 |
| Cy Stavros | Vermont A | Tufts B | 42 | 10 |
| Indigo Khanna | Vermont B | Williams A | 42 | 10 |
| Daniel Lu | Washington Pink | Washington Masu | 42 | 10 |
| George Matsumura | Washington Chum | Alberta B | 42 | 10 |
| Advaith Jagannath | Cambridge C | Cambridge E | 42 | 10 |
| Antara Bhattacharya | Cambridge A | Southampton | 42 | 10 |
| Danny Cutbill | RIT A | ESF | 42 | 10 |
| Simarya Ahuja | Washington Sockeye | Arizona State A | 43 | -5 |
| Claire Wilson | Lehigh B | NYU B | 44 | 10 |
| Tianyi Zheng | UCSD B | UCSD A | 45 | 10 |
| Juliette Flatau | Imperial A | Cambridge D | 45 | 10 |
| Brian Qian | Illinois Canada | Purdue B | 46 | -5 |
| Will Huang | Wisconsin A | Iowa State | 46 | 10 |
| Jesse Mindel | NCSU A | William & Mary A | 49 | 10 |
| Claire Harvey | Vassar B | Rowan | 49 | -5 |
| James Headon | Edinburgh A | Sheffield A | 49 | -5 |
| Daniel Chen | Emory A | Georgia A | 51 | -5 |
| Roy Yang | WashU Grolars | Indiana A | 53 | 10 |
| Nolan Travers | Tulsa A | Central Oklahoma A | 56 | -5 |
| Sidarth Erat | MIT A | Brown B | 58 | 10 |
| Adrian O'Leary | Waterloo A | Toronto A | 59 | 10 |
| Nikhil Nair | Boston University B | Amherst B | 59 | 10 |
| Bharath Ram | Georgia Tech A | Georgia Tech C | 60 | 10 |
| Pace Klein | CWRU B | CWRU A | 62 | 10 |
| Daniel Huang | Michigan C | CWRU D | 62 | 10 |
| Jeremy Scurlock | Chipola College | Clemson A | 62 | 10 |
| Scott Sibley | UC Irvine | Claremont C | 63 | 10 |
| Anirudh Terdal | LSE | Warwick | 65 | 10 |
| James Zhao | Vanderbilt C | Auburn C | 67 | -5 |
| Tal Bowen | Durham A | Edinburgh C | 67 | 10 |
| Taman Truong | USC B | UCLA A | 70 | 10 |
| Imtiaz Kidwai | Toronto F | McMaster C | 70 | 10 |
| Zaid Asif | NYU A | Maryland C | 70 | 10 |
| Asheton Wilbanks | Clemson B | Montevallo | 70 | -5 |
| Rishi Mathur | Claremont B | UCLA B | 71 | 10 |
| Maya Hunt | Michigan State C | Ohio State D | 71 | -5 |
| Rob Morris | Durham D | Edinburgh D | 71 | 10 |
| Aaryan Sumesh | Berkeley Archer Queen | Berkeley Mighty Miner | 72 | 10 |
| Winston Zuo | UC Santa Barbara | UCLA C | 72 | 10 |
| Annika Larson | Claremont A | UCLA D | 72 | 10 |
| Diana Obiozo | USC A | UCLA E | 72 | -5 |
| Ryan Gomes | Florida Tech A | Florida B | 72 | 10 |
| Andrew McKenzie | Ohio State B | Michigan State B | 72 | 10 |
| Vedh Ramesh | Penn | Rutgers D | 72 | 10 |
| Ethan Ma | Illinois Blue | William Woods University A | 72 | 10 |
| Samson Vickrey | Purdue D | Rose-Hulman A | 72 | 10 |
| Vivian Lu | Wisconsin C | Michigan Tech | 72 | 10 |
| Jonathan Schnipper | Brandeis Mozart | Boston College A | 72 | 10 |
| Akif Ismail | Williams C | Dartmouth C | 72 | 10 |
| Judah Friedman | UConn A | Boston University A | 72 | 10 |
| Yuxuan Lu | Vanderbilt A | Alabama A | 72 | 10 |
| Alina Moore | Tennessee A | South Carolina A | 72 | 10 |
| Charlotte Nicholas | Durham B | Edinburgh B | 72 | 10 |
| Judah Garlic | Cornell C | Binghamton B | 72 | 10 |
| Lily Katz | Stony Brook | Vassar A | 73 | 10 |
| Sam Alahi | Illinois Orange | Indiana B | 73 | -5 |
| Elliott Gomes | Dartmouth A | Brown A | 73 | -5 |
| Shivam Saxena | Georgia Tech F | Georgia Tech E | 73 | 10 |
| Daniel Abrams | Rutgers B | Lehigh A | 74 | 10 |
| Jason Lee | Rutgers A | Maryland A | 74 | 10 |
| Anne Fjeld | Alberta A | Washington Atlantic | 74 | 10 |
| Graham Dirks | Kansas State A | Kansas State B | 74 | 10 |
| Arhith Dharaendra | Georgia Tech B | Auburn B | 74 | 10 |
| Jerry Lin | Vanderbilt B | Mississippi State A | 74 | 10 |
| Alden Thompson | Carleton A | McGill E | 75 | 10 |
| Seth Allen | McMaster A | Toronto D | 76 | 10 |
| Noah Fine | UNC D | Virginia Tech C | 76 | 10 |
| James Stadler | Imperial B | Birmingham | 76 | -5 |
| Platon Gorokhov | Toronto E | Guelph A | 77 | 10 |
| Nathan Woolery | Louisville C | Michigan State D | 77 | 10 |
| Stephen Donoghue | Sheffield B | Durham C | 77 | 10 |
| Sam Kung | UNC C | UNC B | 78 | 10 |
| David Thomas | Purdue C | Iowa A | 78 | 10 |
| Eric Zhu | Cornell D | Cornell A | 78 | 10 |
| Zack Wiffen | Waterloo B | Toronto G | 79 | 10 |
| Pratham Bhanushali | WVU B | WVU A | 79 | 10 |
| Joyann Hua | British Columbia B | Texas | 79 | 10 |
| Michael Xu | McMaster B | Waterloo C | 82 | -5 |
| Eric Parrilla | Chicago A | WashU Grizzlers | 82 | 10 |
| Alan Fan | Washington Steelhead | Washington Chinook | 82 | 10 |
| Cole Hammans | Nebraska A | Nebraska B | 85 | 10 |
| Sicheng Jiang | Toronto H | Toronto I | 92 | -5 |
| Aryan Malhotra | Rutgers C | NYU C | 92 | 10 |
| Andrew Park | Harvard | Brandeis Beethoven | 92 | 10 |
| Ollie Glin-Conway | Imperial D | Oxford | 92 | 10 |
| Corey Pope | Florida State A | ERAU Daytona A | 101 | -5 |
| Cooper Morris | Columbia B | George Mason C | 102 | -5 |
| Yashaswi Jaishy | Iowa B | Illinois Champaign | 115 | 10 |
| Will Barton | Imperial C | Bristol | 115 | 10 |
| AnnaMaria Donnelly | UCF A | Florida A | 124 | -5 |
| Sophia Jagels | William & Mary B | JMU A | 124 | 10 |
| Amelia Chen | Tulsa B | Central Oklahoma B | 124 | 10 |
| Miles Spieler | Ohio State C | Louisville D | 128 | 10 |
| Beckett Pursey | Purdue B | Illinois Canada | 128 | 10 |
| Brendan Liaw | British Columbia A | Washington Coho | 128 | 10 |
| Eli O'Sick Johnson | Binghamton C | Rochester | 128 | 10 |
| Alex Randall | Kentucky | Pittsburgh | 129 | 10 |
| Akhil Upadrasta | Ohio State D | Michigan State C | 129 | 10 |
| Lena Jurik | Oklahoma | Nebraska C | 129 | 10 |
| Nikki Chaco | Georgia Tech D | Tennessee B | 129 | 10 |
| Jackson Price | Dartmouth B | Williams B | 130 | 10 |
| Valerie Brown | Carleton B | Ottawa C | 131 | 10 |
| Elena Thai | Waterloo C | McMaster B | 131 | 10 |
| Gabriel Dodds | Liberty C | Tusculum A | 131 | 10 |
| Noah Lang | Wisconsin B | Minnesota | 131 | 10 |
| Madeline Strauss | Tufts A | Amherst A | 131 | 10 |
| Lorie Au-Yeung | UCSC | Stanford A | 132 | 10 |
| Joseph Wang | UCLA E | USC A | 132 | 10 |
| Rebecca Li | Ottawa A | Ottawa B | 132 | 0 |
| Abhay Ariyapappillil | Ottawa B | Ottawa A | 132 | 10 |
| Simon Choist | Queen's A | Brock A | 132 | 10 |
| Saju Ramraj | Toronto I | Toronto H | 132 | 0 |
| Ellie Wang | Brock A | Queen's A | 132 | 0 |
| Heidi Moyer | ERAU Daytona A | Florida State A | 132 | 0 |
| Joshua Ziegler | South Florida A | Florida Tech B | 132 | 10 |
| June Miller | Florida A | UCF A | 132 | 0 |
| Snehan Saroch | Louisville A | Michigan State A | 132 | 10 |
| Nathan Redford | Liberty A | William & Mary C | 132 | 0 |
| Charles Miller | William & Mary C | Liberty A | 132 | 10 |
| Margaret Withers | George Mason B | Johns Hopkins | 132 | 10 |
| Abbi Tesreau | George Mason C | Columbia B | 132 | 10 |
| John Shelly | Rowan | Vassar B | 132 | 10 |
| Emily Justak | Indiana B | Illinois Orange | 132 | 0 |
| Eames Weeks | Brown A | Dartmouth A | 132 | 10 |
| Ryan Zhang | Washington State | British Columbia C | 132 | 10 |
| Rae Meyers | Arizona State A | Washington Sockeye | 132 | 10 |
| Ayden Gates | Rose State | Harding | 132 | 10 |
| Mitchell Hackett | Central Oklahoma A | Tulsa A | 132 | 10 |
| Jonas Cross | Tennessee Tech | Auburn A | 132 | 10 |
| Doug Frederick | Auburn A | Tennessee Tech | 132 | 0 |
| Andrew Wilson | Montevallo | Clemson B | 132 | 10 |
| Aman Sreshta | Clemson C | Sewanne | 132 | 10 |
| Britt Bernstein | Georgia A | Emory A | 132 | 10 |
| Jaie Somaia | Sheffield A | Edinburgh A | 132 | 10 |
| James Mogg | Birmingham | Imperial B | 132 | 10 |
| Owen Linder | Binghamton A | RIT B | 132 | 10 |