Baseball Salaries.pdf

# Their highest paid player johnny damon has an outlier

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Their highest paid player, Johnny Damon, has an outlier salary of \$5.25 million. We will observe how the resistant and non-resistant statistics change as we make summary calculations first including and then excluding his outlier salary: How to Calculate One-Variable Statistics Hit 2 nd QUIT. Hit STAT. Arrow right to CALC. You’re on 1 -Var Stats. Hit ENTER. Input 2 nd L3. (This is where the Ray salaries are listed.) Hit ENTER. Fill in the row “With Johnny Damon.” Hit STAT. Hit ENTER. Arrow to the top so the cursor is on 5250. Hit DEL. Hit STAT. Arrow right to CALC. You’re on 1 -Var Stats. Hit ENTER. Input 2 nd L3. Hit ENTER. Fill in the row “Without Johnny Damon.” Mean Median σ Q3 Q1 IQR With Johnny Damon (5250) Without Johnny Damon Raw Difference Percent Decrease 13) Compare the percent decrease in the mean and median. Which one had the smaller decrease? _____________________________________________________________ ______________________________________________________________________ 14) Compare the percent decrease in the population standard deviation σ and the IQR . Which one had the smaller decrease? _______________________________________ ______________________________________________________________________ 15) Because of the small differences in decrease, the resistant measures of center and variation must be the _____________ (center) and _____________________(variation). Conversely, the non-resistant measures are the ______________ (center) and the ______________________ (variation). 16) Consider the results over the last three years for all three teams. Having displayed and analyzed their different salary distributions, would you conclude that these teams have done equally well in getting what they paid for? Explain. ____________________ ______________________________________________________________________ ______________________________________________________________________ ______________________________________________________________________ ______________________________________________________________________ ______________________________________________________________________ ______________________________________________________________________
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• Fall '17
• Statistics, new york yankees, Boston Red Sox, Red Sox, Tampa Bay Rays, Johnny Damon, Active Math Instruction

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