Mathematics tatistics Project

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Presentation transcript:

Mathematics tatistics Project Mona Behrouzian Pre-Calculus 11 Honours

Basketball Team: Los Angeles Lakers Professional American basketball team Play in the NBA (National Basketball Association) 16 NBA Championships (Most recent: 2010) 2nd most valuable franchise in the NBA, with a monetary value of $2.7 billion NBA’s longest winning streak: 33 straight games The la lakers are an American professional basketball team based in los angeles. The lakers compete in the nba in the western conference pacific division. They are one of the most successful teams in the history of the nba. As of 2015, the lakers are the 2nd most valuable franchise in the NBA according to forbes magazine, and are worth about $2.7 billion. In 1971-72, the lakers set the record for the NBA’s longest winning streak of 33 straight games. Kareen Abdul-Jabbar (1975) Magic Johnson (1987) Shaquille O’Neal (1999) Kobe Bryant (1999)

Lakers Annual Salaries Player Name Salary 2016-17 ($) Luol Deng 18,000,000 Timofey Mozgov 16,000,000 Jordan Clarkson 12,500,000 Jose Calderon 7,708,427 Louis Williams 7,000,000 Tarik Black 6,191,000 Nick Young 5,443,918 D'Angelo Russell 5,332,800 Brandon Ingram 5,281,680 Julius Randle 3,267,120 Metta World Peace 1,551,659 Marcelo Huertas 1,500,000 Larry Nance Jr 1,207,680 Thomas Robinson 1,050,961 Ivica Zubac 1,034,865 Average: $6,204,674 Standard Deviation: $5,414,698.60 -in order of greatest to least salaries -I used multiple sources to confirm my data. The data was all consistent except for the players which were waived which I didn’t include in my project. -6.2 million -5.4 million

5 Favorite Players Player Name Position Stats Salary z-score 1. Louis Williams Guard Most points per game (17.5) $7,000,000 0.1469 2. Julius Randle Forward Most rebounds per game (8.6) $3,267,120 -0.5425 3. Larry Nance Jr. Field Goal %: 58.4% $1,207,680 -0.9223 4. Jose Calderon Free Throw %: 100% $7,708,427 0.2777 5. D’Angelo Russell Most assists per game: 4.6 $5,332,800 -0.1610 Average: $6,204,674 Standard Deviation: $5,414,698.60 -the z-scores here represent how much above or below the player’s salaries are from the mean salary Louis Williams Julius Randle Larry Nance Jr. Jose Calderon D’Angelo Russell

Salary Factors Experience/Age Skill Team Field goals (points) Assists Steals Team -experience: the number of years of professional experience the top 5 players of the lakers have is a combined total of 42 years! -skill: the most skillful players will get the most points and help the team win -team: more successful teams have higher salaries cause they have more money to spend to pay their players

Salary Cap LA Lakers salary cap: $94,143,000 Top 3 players: Luol Deng - $18,000,000 Timofey Mozgov - $16,000,000 Jordan Clarkson - $12,500,000 Take up 49.39% of the salary cap

#1: What percent of player’s Salaries are below the mean? 15 players in total on the Lakers 10 of them have a salary lower than the average salary ($6,204,674) 66.7% below the mean Player Name Salary 2016-17 ($) Tarik Black 6,191,000 Nick Young 5,443,918 D'Angelo Russell 5,332,800 Brandon Ingram 5,281,680 Julius Randle 3,267,120 Metta World Peace 1,551,659 Marcelo Huertas 1,500,000 Larry Nance Jr 1,207,680 Thomas Robinson 1,050,961 Ivica Zubac 1,034,865 D'Angelo Russell #1, Julius Randle #30 and Jordan Clarkson #6

#2: What percent of the salary cap is taken by each position? LA Lakers salary cap: $94,143,000 Point Guards Shooting Guards Small forwards Power Forwards Centers D'Angelo Russell 5332800 Jordan Clarkson 12500000 Luol Deng 18000000 Julius Randle 3267120 Timofey Mozgov 16000000 Marcelo Huertas 1500000 Louis Williams 7000000 Brandon Ingram 5281680 Larry Nance Jr 1207680 Ivica Zubac 1034865 Jose Calderon 7708427 Nick Young 5443918 Tarik Black 6191000 Metta World Peace 1551659 Thomas Robinson 1050961 Total 14541227 19500000 30277257 11716761 17034865

#3: How many Players salaries are within one standard deviation? Player Name Salary 2016-17 ($) z-scores Luol Deng 18,000,000 2.1784 Timofey Mozgov 16,000,000 1.8090 Jordan Clarkson 12,500,000 1.1626 Jose Calderon 7,708,427 0.2777 Louis Williams 7,000,000 0.1469 Tarik Black 6,191,000 -0.0025 Nick Young 5,443,918 -0.1405 D'Angelo Russell 5,332,800 -0.1610 Brandon Ingram 5,281,680 -0.1705 Julius Randle 3,267,120 -0.5425 Metta World Peace 1,551,659 -0.8593 Marcelo Huertas 1,500,000 -0.8689 Larry Nance Jr 1,207,680 -0.9223 Thomas Robinson 1,050,961 -0.9518 Ivica Zubac 1,034,865 -0.9548 10 2 2 1

Works Cited en.wikipedia.org/wiki/Los_Angeles_Lakers http://www.nba.com/lakers/roster/ http://www.basketball-reference.com/contracts/LAL.html http://www.basketballinsiders.com/los-angeles-lakers-team-salary/ http://en.hispanosnba.com/salaries/teams/los-angeles-lakers hoopshype.com/salaries/los_angeles_lakers http://www.nba.com/lakers/news/161025-opening-night-roster/ http://basketball.realgm.com/nba/teams/Los-Angeles-Lakers/13/Rosters