Mean

In mathematics, mean has several different definitions depending on the context.

In probability and statistics, mean and expected value are used synonymously to refer to one measure of the central tendency either of a probability distribution or of the random variable characterized by that distribution. In the case of a discrete probability distribution of a random variable X, the mean is equal to the sum over every possible value weighted by the probability of that value; that is, it is computed by taking the product of each possible value x of X and its probability P(x), and then adding all these products together, giving . An analogous formula applies to the case of a continuous probability distribution. Not every probability distribution has a defined mean; see the Cauchy distribution for an example. Moreover, for some distributions the mean is infinite: for example, when the probability of the value is for n = 1, 2, 3, ....

For a data set, the terms arithmetic mean, mathematical expectation, and sometimes average are used synonymously to refer to a central value of a discrete set of numbers: specifically, the sum of the values divided by the number of values. The arithmetic mean of a set of numbers x₁, x₂, ..., x_n is typically denoted by , pronounced "x bar". If the data set were based on a series of observations obtained by sampling from a statistical population, the arithmetic mean is termed the sample mean (denoted ) to distinguish it from the population mean (denoted or ).

Taylor Swift

Taylor Alison Swift (born December 13, 1989) is an American singer-songwriter. Raised in Wyomissing, Pennsylvania, she moved to Nashville, Tennessee, at the age of 14 to pursue a career in country music. She signed with the independent label Big Machine Records and became the youngest songwriter ever signed by the Sony/ATV Music publishing house. The release of Swift's eponymous debut album in 2006 marked the start of her career as a country music singer. Her third single, "Our Song", made her the youngest person to single-handedly write and perform a number-one song on the Hot Country Songs chart.

Swift's second album, Fearless, was released in 2008. Buoyed by the pop crossover success of the singles "Love Story" and "You Belong with Me", Fearless became the best-selling album of 2009 in the United States. The album won four Grammy Awards, making Swift the youngest ever Album of the Year winner. Swift's third and fourth albums, 2010's Speak Now and 2012's Red, both sold more than one million copies within the first week of their U.S release. Speak Now's "Mean" won two Grammy Awards, while Red's singles "We Are Never Ever Getting Back Together" and "I Knew You Were Trouble" were successful worldwide. Swift's fifth album, the pop-focused 1989, was released in 2014 and sold more copies in its opening week than any album in the previous 12 years, making Swift the first and only act to have three albums sell more than one million copies in the opening release week. Its singles "Shake It Off", "Blank Space", and "Bad Blood" reached number one on the Billboard Hot 100. The album would go on to win three awards at the 2016 Grammys including Album of the Year making Swift the first and thus far only female artist to receive the award twice.

I Mean It

"I Mean It" is a song by American rapper G-Eazy. It was released on May 13, 2014, as the fifth single from his third studio album These Things Happen (2014). The song was produced by Eazy himself and Remo. The song tied with "Drifting" to become his second highest charting single, peaking at number 98 on the US Billboard Hot 100, more than six months after its original release. A remix was released featuring an additional verse by Rick Ross.

Music video

The video premiered on Vevo and followed by YouTube on May 28th, 2014. It was produced by Abby Vo directed by Bobby Bruderle, who is a companion of G-Eazy having done photography work for him since 2011 and directing other videos of his such as "Almost Famous" and "Been On". In the video G-Eazy expresses himself to the world of news in an "My Name Is" and/or Anchorman-esque fashion. In the video G-Eazy plays a news anchor interviewing himself and presenting to many interesting characters going through their daily lives, many of which are rappers or crew members associated with G-Eazy.

Payday 2

Payday 2 (stylized as PAYDAY 2) is a cooperative first-person shooter video game developed by Overkill Software and published by 505 Games. The game is a sequel to 2011's Payday: The Heist. It was released on 13 August 2013 for Microsoft Windows, PlayStation 3 and Xbox 360. An improved version of the game, subtitled Crimewave Edition, was released for PlayStation 4 and Xbox One in June 2015 (on 12 June in the UK and Europe and on 16 June in North America).

Two years after the events of the previous game, a new gang comes to the Washington, D.C. area to rob banks. The player takes control of one of the gang's twelve members and heists alone, with up to two AI players, as four player cooperative play, or some combination of the previous. Heists include robbing banks, jewellery stores, and armored cars, producing and distributing narcotics, stealing prototypes, art and artifact theft, rigging elections and framing corrupt politicians, taking on rival gangs, breaking into mercenary bases, prisons, and FBI facilities, enforcing protection rackets, and smuggling of guns and nuclear warheads. The game differs on the previous by allowing much more customization of the player and reworking its stealth mechanics.