Dartmouth College $64,482 NBA Head Coach salaries - Listed below are the annual

Question

Dartmouth College $64,482 NBA Head Coach salaries - Listed below are the annual salaries of NBA Basketball coaches in 2016 (based on otherleaque.com). Find the mean and standard deviation of all the salaries. Are there any unusual outliers? If so what are they? Find the mean and standard deviation with the outliers removed. How does the standard deviation change if the outlier salaries are removed? Head Coach Team Salary Atlanta Hawks $2,000,000 Charlotte Hornets $2,000,000 Philadelphia 76ers $2,000,000 Brooklyn Nets $2,500,000 Cleveland Cavaliers $3,000,000 Miami Heat $3,000,000 New Orleans Pelicans $3,437,500 Boston Celtics $3,670,000 Houston Rockets $4,000,000 Sacramento Kings $4,000,000 Chicago Bulls $5,000,000 Golden State Warriors $5,000,000 Los Angeles Lakers $5,000,000 New York Knicks $5,000,000 Portland Trail Blazers $5,000,000 Orlando Magic $5,500,000 Milwaukee Bucks $6,000,000 Oklahoma City Thunder $6,000,000 Toronto Raptors $6,000,000 Dallas Mavericks $7,000,000 Detroit Pistons $7,000,000 Washington Wizards $7,000,000 Los Angeles Clippers $10,000,000 Minnesota Timberwolves $10,000,000 San Antonio Spurs $11,000,000 Dartmouth College $64,482 NBA Head Coach salaries - Listed below are the annual salaries of NBA Basketball coaches in 2016 (based on otherleaque.com). Find the mean and standard deviation of all the salaries. Are there any unusual outliers? If so what are they? Find the mean and standard deviation with the outliers removed. How does the standard deviation change if the outlier salaries are removed? Head Coach Team Salary Atlanta Hawks $2,000,000 Charlotte Hornets $2,000,000 Philadelphia 76ers $2,000,000 Brooklyn Nets $2,500,000 Cleveland Cavaliers $3,000,000 Miami Heat $3,000,000 New Orleans Pelicans $3,437,500 Boston Celtics $3,670,000 Houston Rockets $4,000,000 Sacramento Kings $4,000,000 Chicago Bulls $5,000,000 Golden State Warriors $5,000,000 Los Angeles Lakers $5,000,000 New York Knicks $5,000,000 Portland Trail Blazers $5,000,000 Orlando Magic $5,500,000 Milwaukee Bucks $6,000,000 Oklahoma City Thunder $6,000,000 Toronto Raptors $6,000,000 Dallas Mavericks $7,000,000 Detroit Pistons $7,000,000 Washington Wizards $7,000,000 Los Angeles Clippers $10,000,000 Minnesota Timberwolves $10,000,000 San Antonio Spurs $11,000,000

Explanation / Answer

Mean=(Sum xi/n)=20.641

Standard deviation is sd=sqrt((Sumxi-mean)^2/n-1)=59.5919

Using online technology we find

Population size: 25 Median: 5000000 Minimum: 2000000 Maximum: 11000000 First quartile: 3218750 Third quartile: 6500000 Interquartile Range: 3281250 Outliers: none

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