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Law Of Averages
The law of averages is the commonly held belief that a particular outcome or event will, over certain periods of time, occur at a frequency that is similar to its probability. Depending on context or application it can be considered a valid common-sense observation or a misunderstanding of probability. This notion can lead to the gambler's fallacy when one becomes convinced that a particular outcome must come soon simply because it has not occurred recently (e.g. believing that because three consecutive coin flips yielded ''heads'', the next coin flip must be virtually guaranteed to be ''tails''). As invoked in everyday life, the "law" usually reflects wishful thinking or a poor understanding of statistics rather than any mathematical principle. While there is a real theorem that a random variable will reflect its underlying probability over a very large sample, the law of averages typically assumes that an unnatural short-term "balance" must occur.Rees, D.G. (2001) ''Essential St ...
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Outcome (probability)
In probability theory, an outcome is a possible result of an experiment or trial. Each possible outcome of a particular experiment is unique, and different outcomes are mutually exclusive (only one outcome will occur on each trial of the experiment). All of the possible outcomes of an experiment form the elements of a sample space. For the experiment where we flip a coin twice, the four possible ''outcomes'' that make up our ''sample space'' are (H, T), (T, H), (T, T) and (H, H), where "H" represents a "heads", and "T" represents a "tails". Outcomes should not be confused with ''events'', which are (or informally, "groups") of outcomes. For comparison, we could define an event to occur when "at least one 'heads'" is flipped in the experiment - that is, when the outcome contains at least one 'heads'. This event would contain all outcomes in the sample space except the element (T, T). Sets of outcomes: events Since individual outcomes may be of little practical interest, or becaus ...
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Bias (statistics)
Statistical bias is a systematic tendency which causes differences between results and facts. The bias exists in numbers of the process of data analysis, including the source of the data, the estimator chosen, and the ways the data was analyzed. Bias may have a serious impact on results, for example, to investigate people's buying habits. If the sample size is not large enough, the results may not be representative of the buying habits of all the people. That is, there may be discrepancies between the survey results and the actual results. Therefore, understanding the source of statistical bias can help to assess whether the observed results are close to the real results. Bias can be differentiated from other mistakes such as accuracy (instrument failure/inadequacy), lack of data, or mistakes in transcription (typos). Bias implies that the data selection may have been skewed by the collection criteria. Bias does not preclude the existence of any other mistakes. One may have a poo ...
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Adages
An adage (; Latin: adagium) is a memorable and usually philosophical aphorism that communicates an important truth derived from experience, custom, or both, and that many people consider true and credible because of its longeval tradition, i.e. being handed down generation to generation, or memetic replication. Variations and nature An adage may warn against a failure to plan, be interesting observations, ethical rules, or skeptical comments on life in general, such as "do not count your chickens before they hatch", "do not burn your bridges", and . Some adages are products of folk wisdom that attempt to summarize a basic truth; these are generally known as "proverbs" or "bywords". An adage that describes a general moral rule is a "maxim". A pithy expression that has not necessarily gained credibility by tradition, but is distinguished by especial depth or excellent style is denominated an "aphorism", while one distinguished by wit or irony is often denominated an "epigram ...
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Regression Toward The Mean
In statistics, regression toward the mean (also called reversion to the mean, and reversion to mediocrity) is the fact that if one sample of a random variable is extreme, the next sampling of the same random variable is likely to be closer to its mean. Furthermore, when many random variables are sampled and the most extreme results are intentionally picked out, it refers to the fact that (in many cases) a second sampling of these picked-out variables will result in "less extreme" results, closer to the initial mean of all of the variables. Mathematically, the strength of this "regression" effect is dependent on whether or not all of the random variables are drawn from the same distribution, or if there are genuine differences in the underlying distributions for each random variable. In the first case, the "regression" effect is statistically likely to occur, but in the second case, it may occur less strongly or not at all. Regression toward the mean is thus a useful concept to ...
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2016 Chicago Cubs Season
The 2016 Chicago Cubs season was the 145th season of the Chicago Cubs franchise, the 141st in the National League and the Cubs' 101st season at Wrigley Field. The Cubs were managed by Joe Maddon in his second year as Cubs manager, and played their home games at Wrigley Field as members of the National League Central Division. To celebrate their 100 years at Wrigley, the Cubs wore a patch on their home uniforms and wore 1916 throwback uniforms on July 6. They began the season on April 4, 2016 at the Los Angeles Angels and finished the regular season on October 2, 2016 at the Cincinnati Reds. The Cubs finished with the best record in Major League Baseball at 103–58, and won their first National League Central title since the 2008 season, winning by 17½ games. The team also reached the 100-win mark for the first time since 1935 and won 103 total games, the most wins for the franchise since 1910. The Cubs defeated the San Francisco Giants in the National League Division Series ...
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1908 World Series
The 1908 World Series was the championship series in Major League Baseball for the 1908 season. The fifth edition of the World Series, it matched the defending National League champion Chicago Cubs against the American League champion Detroit Tigers in a rematch of the 1907 Series. In this first-ever rematch of this young event, the Cubs won in five games for their second straight World Series title. The 1908 World Series was significant for being the last World Series championship the Cubs would win until (108 years later). That became the longest World Series victory drought in MLB history. Before the 2016 series, the team would go on to appear in seven World Series; in , , , , , , and , losing each time. The Cubs had been one of baseball's most dominant teams in the early 1900s. This was the year of the infamous " Merkle's Boner" play that allowed the Chicago Cubs to reach the World Series after beating the New York Giants (now the San Francisco Giants) in a one-game "playof ...
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World Series
The World Series is the annual championship series of Major League Baseball (MLB) in the United States and Canada, contested since 1903 between the champion teams of the American League (AL) and the National League (NL). The winner of the World Series championship is determined through a best-of-seven playoff, and the winning team is awarded the Commissioner's Trophy. Prior to the AL and NL being split into divisions in 1969, the team with the best regular-season win–loss record in each league automatically clinched its league's pennant and advanced to the World Series, barring the rare tie necessitating a pennant playoff. Since then each league has conducted a League Championship Series ( ALCS and NLCS) preceding the World Series to determine which teams will advance, while those series have been preceded in turn by Division Series ( ALDS and NLDS) since 1995, and Wild Card games or series in each league since 2012. Until 2002, home-field advantage in the World Series ...
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1945 Chicago Cubs Season
The 1945 Chicago Cubs season was the 74th season of the Chicago Cubs franchise, the 70th in the National League and the 30th at Wrigley Field. The Cubs won the National League pennant with a record of 98–56, 3 games ahead of the second-place St. Louis Cardinals. The team went on to the 1945 World Series, which they lost to the Detroit Tigers in seven games. This was the Cubs last postseason appearance until 1984. It would take 71 years before the Cubs made it to another 2016 World Series, World Series. Regular season Season standings Record vs. opponents Roster Player stats Batting Starters by position ''Note: Pos = Position; G = Games played; AB = At bats; H = Hits; Avg. = Batting average; HR = Home runs; RBI = Runs batted in'' Other batters ''Note: G = Games played; AB = At bats; H = Hits; Avg. = Batting average; HR = Home runs; RBI = Runs batted in'' Pitching Starting pitchers ''Note: G = Games pitched; IP = Innings pitched; W = Wins; L = Lo ...
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National League
The National League of Professional Baseball Clubs, known simply as the National League (NL), is the older of two leagues constituting Major League Baseball (MLB) in the United States and Canada, and the world's oldest extant professional team sports league. Founded on February 2, 1876, to replace the National Association of Professional Base Ball Players (NAPBBP) of 1871–1875 (often called simply the "National Association"), the NL is sometimes called the Senior Circuit, in contrast to MLB's other league, the American League, which was founded 25 years later and is called the "Junior Circuit". Both leagues currently have 15 teams. After two years of conflict in a "baseball war" of 1901–1902, the two eight-team leagues agreed in a "peace pact" to recognize each other as "major leagues". As part of this agreement, they drafted rules regarding player contracts, prohibiting "raiding" of rosters, and regulating relationships with minor leagues and lower level clubs. Each league ...
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Chicago Cubs
The Chicago Cubs are an American professional baseball team based in Chicago. The Cubs compete in Major League Baseball (MLB) as part of the National League (NL) Central division. The club plays its home games at Wrigley Field, which is located on Chicago's North Side. The Cubs are one of two major league teams based in Chicago; the other, the Chicago White Sox, is a member of the American League (AL) Central division. The Cubs, first known as the White Stockings, were a founding member of the NL in 1876, becoming the Chicago Cubs in 1903. Throughout the club's history, the Cubs have played in a total of 11 World Series. The 1906 Cubs won 116 games, finishing 116–36 and posting a modern-era record winning percentage of , before losing the World Series to the Chicago White Sox ("The Hitless Wonders") by four games to two. The Cubs won back-to-back World Series championships in 1907 and 1908, becoming the first major league team to play in three consecutive World Series, an ...
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A Dying Cub Fan's Last Request
"A Dying Cub Fan's Last Request" is an American folk song written by Steve Goodman in 1981 and first performed by him on a WGN radio show that year. The song tells the story of a Chicago Cubs fan looking back at decades of supporting the struggling baseball team. Goodman wrote the song in the spring of 1981, just before that year's Major League Baseball strike interrupted the season. Goodman, a native of Chicago, incorporated a number of specific references to the city, the Cubs, and their baseball stadium, Wrigley Field. At the time of the song's release, the Cubs had not been to a World Series since 1945 and had not won one since 1908. By 1981, the team was under new ownership and was trying to shed its image as a hapless team. The song's lyrics seem to make fun of the Cubs, referring to the team as "the doormat of the National League", and such references strained the relationship between Goodman and the team's executives. Goodman later composed " Go, Cubs, Go", which became ...
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