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Multiple realities
(covers information from several alternate timelines)

Statistics was the study of data collection and interpretation. The data itself was also referred to as statistics or stats. Keeping statistics was also an important part of organized sports such as baseball. (TNG: "Evolution")

In 2032, Lieutenant John Kelly accused Houston of manipulating the stats after Buck Bokai was reported to have broken Joe DiMaggio's record. (VOY: "One Small Step")

In 2151, T'Pol reminded Jonathan Archer that "only one out of every forty three thousand planets supports intelligent life". Archer replied by saying that he had studied exobiology and was aware of the statistics. (ENT: "Fight or Flight")

Also that year, when Archer asked T'Pol what she knew about the planet Coridan, she replied with its population. Archer told her that he wasn't asking for statistics, but rather cultural information on such topics as food and recreation. When T'Pol told him that the Vulcan database didn't have that kind of information in it, the captain replied, "Of course not." (ENT: "Shadows of P'Jem")

In a deleted scene from "Similitude", Sim mentioned to T'Pol that both Humans and Vulcans had both managed to to extend their average life spans from 35 and 40, respectively, noting that both species actively try to change the statistic.

In 2258 of the alternate reality, Spock informed James T. Kirk that the statistical likelihood of their plan to stop Nero succeeding was less than 4.3 percent. When Kirk assured him that it would work, Spock continued, asking the captain to inform Lieutenant Nyota Uhura of something, but Kirk cut him off, repeating his earlier assertion. (Star Trek)

In 2269, Spock agreed with Em/3/Green's assertion that the team of specialists would all die on the "mad planet", calling it "a statistical probability." When Lara heard this, she asked him if he ever quoted anything other than statistics. Spock replied that he did, but philosophy and poetry were inappropriate given their circumstances. (TAS: "The Jihad")

In 2365, Jean-Luc Picard defended William T. Riker's command style to a critical Sirna Kolrami. While the Zakdorn believed that Riker's good humor was inappropriate for a commanding officer, Picard believed that he earned loyalty by that means. He then offered to "match his command style with your (Kolrami's) statistics any time." (TNG: "Peak Performance")

In 2366, Paul Stubbs explained to Wesley Crusher that he was able to use his extensive knowledge of baseball stats to play entire seasons of the game in his mind. (TNG: "Evolution")

Also that year, in an alternate timeline, Natasha Yar asked Lieutenant junior grade Castillo to give her the stats on the USS Enterprise-C's phaser banks. (TNG: "Yesterday's Enterprise")

In 2370, Jean-Luc Picard recalled looking through the personnel files and personnel records of around 50 different candidates for his first officer to Erik Pressman. At first glance, William T. Riker's was similar to the others, "filled with lots of dry statistics and glowing letters of recommendation that tell you nothing". (TNG: "The Pegasus")

In 2374, Benjamin Sisko dismissed Dr. Julian Bashir's conclusion (reached along with Lauren, Patrick, Jack and Sarina Douglas) that surrender to the Dominion was the best option, saying his rationale was entirely "based on a series of statistical probabilities and assumptions". (DS9: "Statistical Probabilities")

In 2377, The Doctor posited that if the Allocator's treatment coefficient ratings were purely a function of statistics, he and Voje could ensure a so-called less important individual with a lower rating received better care by inputting spurious data to raise the individual's rating. (VOY: "Critical Care")

Also that year, Neelix determined from statistics that Benkarans usually received harsher sentences for their crimes under the Nygean legal system. When he told this to Joleg, the Benkaran replied that statistics wouldn't save him. (VOY: "Repentance")

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