In functional analysis, this noun denotes linear functionals that act on compactly-supported test functions, which define a namesake generalized derivative. Methods that are “[this noun]-free” are also called “nonparametric” and include the Kolmogorov–Smirnov test. A letter that stands for this noun appears above the arrow in the central limit theorem, which concerns “convergence in [this word].” This noun appears in the name of a class of increasing, right-continuous functions that converge to zero and one at minus and plus infinity. Those functions, which are found by integrating probability density functions, are written capital F and preface this noun with “cumulative.” For 10 points, give this word for the spread of probabilities taken by a random variable, such as the Poisson or binomial. ■END■
| California | 2025-02-01 | Y | 3 | 67% | 0% | 100% | 116.50 |
| Great Lakes | 2025-02-01 | Y | 6 | 100% | 0% | 67% | 114.33 |
| Lower Mid-Atlantic | 2025-02-01 | Y | 6 | 100% | 0% | 17% | 98.83 |
| Midwest | 2025-02-01 | Y | 5 | 100% | 0% | 40% | 111.60 |
| Overflow | 2025-02-01 | Y | 5 | 80% | 0% | 60% | 108.50 |
| Pacific Northwest | 2025-02-01 | Y | 2 | 100% | 0% | 0% | 92.50 |
| Southeast | 2025-02-01 | Y | 3 | 100% | 0% | 0% | 108.67 |
| UK | 2025-02-01 | Y | 10 | 80% | 0% | 60% | 99.88 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Rasheeq Azad | UNC B | Wake Forest | 20 | 10 |
| Linus Luu | Cambridge D | Southampton B | 33 | -5 |
| Delia Cropper | Oxford A | Cambridge A | 33 | -5 |
| Vinu Harihar | UC Berkeley B | UC Berkeley A | 55 | -5 |
| Christopher Sims | Northwestern A | Notre Dame A | 55 | -5 |
| Davis Johnson | Purdue | Notre Dame B | 55 | -5 |
| Cormac Stephenson | Southampton A | NYU C | 55 | -5 |
| James Byrne | Bristol | Warwick A | 55 | 10 |
| Stephen Walsh | Northwestern B | Georgetown A | 58 | -5 |
| Justin Keung | Imperial A | LSE | 58 | -5 |
| Benjamin Liu | Oxford C | Cambridge E | 67 | 10 |
| Michał Gerasimiuk | Stanford B | Iowa | 68 | 10 |
| Michael Hunding | Illinois A | Indiana B | 72 | -5 |
| Joel Crossley | Manchester | Sheffield | 72 | -5 |
| John Chen | UBC | Alberta | 75 | 10 |
| Ivan Karp | UCLA | UCSD | 81 | -5 |
| Roxanne Tang | Ohio State A | Michigan A | 86 | -5 |
| Aditya Patnaik | Ohio State B | Michigan C | 92 | -5 |
| Charles Hang | WashU A | Illinois B | 97 | -5 |
| David Nieman | Carnegie Mellon A | Michigan B | 99 | 10 |
| Jack Lenga | Carnegie Mellon B | Michigan State | 99 | 10 |
| June Yin | WashU B | Illinois C | 99 | 10 |
| Rohan Dalal | Georgia Tech C | Bruin A | 99 | 10 |
| Andrei Hui | Cambridge B | Cambridge C | 99 | 10 |
| Matt Sheldon | Oxford B | Imperial B | 99 | 10 |
| Tobin Payne | Warwick B | Durham | 99 | -5 |
| Sam Kung | UNC D | UNC C | 105 | 10 |
| Sam Konkel | Chicago C | Missoui S&T | 105 | 10 |
| Brina Ratangee | Vanderbilt A | Alabama A | 105 | 10 |
| Jonathan Bost | Liberty B | Liberty C | 110 | 10 |
| Jakob Myers | Indiana A | Chicago D | 110 | 10 |
| Catherine Welch | UW A | UW B | 110 | 10 |
| Swapnil Garg | UC Berkeley A | UC Berkeley B | 111 | 10 |
| Alan Lee | Case Western A | Kenyon | 114 | -5 |
| Daniel Huang | Michigan D | Case Western B | 114 | -5 |
| Joel Dicker | Southampton B | Cambridge D | 114 | 10 |
| Aidan Deshong | Claremont B | Claremont A | 115 | -5 |
| Chase Woodson | Virginia A | Liberty A | 115 | 10 |
| Stephen Heritage | Notre Dame A | Northwestern A | 118 | 0 |
| Ivan Stanisavljevic | Duke | South Carolina | 119 | -5 |
| Orion Keller | Virginia Tech A | William & Mary | 121 | 10 |
| Agnijo Banerjee | Cambridge A | Oxford A | 121 | 10 |
| Kevin Park | Claremont A | Claremont B | 122 | 10 |
| Anthony Yin | Case Western B | Michigan D | 122 | 10 |
| Yashwanth Bajji | Michigan A | Ohio State A | 122 | 10 |
| Noah Dean | Kenyon | Case Western A | 122 | 10 |
| Carter Pisocky | Michigan C | Ohio State B | 122 | 10 |
| Braeden LaRoche | South Carolina | Duke | 122 | 10 |
| Yash Mandavia | Illinois B | WashU A | 122 | 10 |
| Nermeen Rahman | Indiana B | Illinois A | 122 | 10 |
| Cole Hartung | Georgetown A | Northwestern B | 122 | 10 |
| Max Kolda | Notre Dame B | Purdue | 122 | 10 |
| Meggy Mani | Georgetown B | Notre Dame C | 122 | 10 |
| Arhith Dharanendra | Georgia Tech A | Louisville A | 122 | 10 |
| Albert Nyang | LSE | Imperial A | 122 | 10 |
| Jacob Hardin-Bernhardt | NYU C | Southampton A | 122 | 10 |
| Andrew Fisher | Sheffield | Manchester | 122 | 0 |
| Adam Iqbal | Durham | Warwick B | 122 | 0 |