The salaries of the 2004-05 Boston Celtics were as follows: What percentage of the players\' salaries (rounded to the nearest 1%) are within 2 standard deviations of the mean salary for the team? Player Salary for Year Paul Pierce $11,300,000 Gerald Green $300,000 Tony Allen $3,000,000 Ryan Gomes $3,800,000 Dan Dickau $800,000 Orien Greene $5,300,000Al Jefferson $2,700,000 Dwayne Jones $800,000 Kendrick Perkins $500,000 Brian Scalabrine $500,000 Delonte West $21,400,000 Wally Szczerbiak $600,000 Raef LaFrentz $600,000 Michael Olowodkandi $1,400,000 Solution The values in the brackets \"()\" represent the negative values and the not bracketted ones are the positive values. PlayerSalary for Year(X- mean)^2deviationz scoresPaul Pierce$113,00,000$564644940,89,796$75,14,286.00$1.28Gerald Green$3,00,000$121502020,89,796($34,85,714.00)($0.59)Tony Allen$30,00,000$6173464,89,796($7,85,714.00)($0.13)Ryan Gomes$38,00,000$2040,89,796$14,286.00$0.00Dan Dickau$8,00,000$89144880,89,796($29,85,714.00)($0.51)Orien Greene$53,00,000$22930620,89,796$15,14,286.00$0.26Al Jefferson$27,00,000$11787748,89,796($10,85,714.00)($0.18)Dwayne Jones$8,00,000$89144880,89,796($29,85,714.00)($0.51)Kendrick Perkins$5,00,000$107959164,89,796($32,85,714.00)($0.56)Brian Scalabrine$5,00,000$107959164,89,796($32,85,714.00)($0.56)Delonte West$214,00,000$3102630712,89,796$176,14,286.00$3.00Wally Szczerbiak$6,00,000$101487736,89,796($31,85,714.00)($0.54)Raef LaFrentz$6,00,000$101487736,89,796($31,85,714.00)($0.54)Michael Olowodkandi$14,00,000$56916312,89,796($23,85,714.00)($0.41)mean$37,85,714$4483771428 ,57,144S^2$344905494,50,549.50Standard deviation5872865.523No of players salaries are within two stadard deviation from the mean = 13 playersPercentage of players salaries are within two stadard deviation from the mean(13/14)*10092.86%.

1. The salaries of the 2004-05 Boston Celtics were as follows:
What percentage of the players' salaries (rounded to the nearest 1%) are within
2 standard deviations of the mean salary for the team? Player Salary for Year Paul Pierce
$11,300,000 Gerald Green $300,000 Tony Allen $3,000,000 Ryan Gomes $3,800,000 Dan
Dickau $800,000 Orien Greene $5,300,000Al Jefferson $2,700,000 Dwayne Jones $800,000
Kendrick Perkins $500,000 Brian Scalabrine $500,000 Delonte West $21,400,000 Wally
Szczerbiak $600,000 Raef LaFrentz $600,000 Michael Olowodkandi $1,400,000
Solution
The values in the brackets "()" represent the negative values and the not bracketted ones are the
positive values.
PlayerSalary for Year(X- mean)^2deviationz scoresPaul
Pierce$113,00,000$564644940,89,796$75,14,286.00$1.28Gerald
Green$3,00,000$121502020,89,796($34,85,714.00)($0.59)Tony
Allen$30,00,000$6173464,89,796($7,85,714.00)($0.13)Ryan
Gomes$38,00,000$2040,89,796$14,286.00$0.00Dan
Dickau$8,00,000$89144880,89,796($29,85,714.00)($0.51)Orien
Greene$53,00,000$22930620,89,796$15,14,286.00$0.26Al
Jefferson$27,00,000$11787748,89,796($10,85,714.00)($0.18)Dwayne
Jones$8,00,000$89144880,89,796($29,85,714.00)($0.51)Kendrick
Perkins$5,00,000$107959164,89,796($32,85,714.00)($0.56)Brian
Scalabrine$5,00,000$107959164,89,796($32,85,714.00)($0.56)Delonte
West$214,00,000$3102630712,89,796$176,14,286.00$3.00Wally

2. Szczerbiak$6,00,000$101487736,89,796($31,85,714.00)($0.54)Raef
LaFrentz$6,00,000$101487736,89,796($31,85,714.00)($0.54)Michael
Olowodkandi$14,00,000$56916312,89,796($23,85,714.00)($0.41)mean$37,85,714$4483771428
,57,144S^2$344905494,50,549.50Standard deviation5872865.523No of players salaries are
within two stadard deviation from the mean = 13 playersPercentage of players salaries are
within two stadard deviation from the mean(13/14)*10092.86%