The Philadelphia Phillies defeated the Tampa Bay Rays 4 to 3 to win the 2008 maj
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Question
The Philadelphia Phillies defeated the Tampa Bay Rays 4 to 3 to win the 2008 major league baseball World Series. Earlier in the major league baseball playoffs, the Philadelphia Phillies defeated the Los Angeles Dodgers to win the National League Championship, while the Tampa Bay Rays defeated the Boston Red Sox to win the American League Championship. The file MLBSalaries contains the salaries for the 28 players on each of these four teams (USA Today Salary Database, October 2008). The data, shown in thousands of dollars, have been ordered from the highest salary to the lowest salary for each team. Click on the webfile logo to reference the data.
a. Analyze the salaries for the World Champion Philadelphia Phillies. What is the total payroll for the team? Thousands What is the median salary? What is the five-number summary (to 2 decimals, if necessary)? Smallest value 390 Thousands First quartile Thousands Median 6087.5 Thousands Third quartile 436.25 Thousands Largest value 14920 Thousands
b. Calculate the upper and lower limits for the Philadelphia Phillies (to 2 decimals, if necessary)? Lower limit Upper limit Were there outliers for the Philadelphia Phillies?
c. What is the total payroll for each of the other three teams? Los Angeles Dodgers $ 136373 Thousands Tampa Bay Rays $ 96870 Thousands Boston Red Sox $ 120460 Thousands Develop the five-number summary for each team (to 2 decimals, if necessary). Los Angeles Dodgers Tampa Bay Rays Boston Red Sox Smallest value First quartile Median Third quartile Largest value
Player Phillies Dodgers Rays Red Sox 1 14250 19000 6000 14000 2 10000 15730 5375 13000 3 8583 15217 3898 12500 4 8000 14727 3785 10442 5 7958 10000 2875 10167 6 7786 9517 2750 9250 7 6350 9250 2400 8333 8 6000 9000 2300 8000 9 5500 8000 2250 6000 10 5000 7500 1600 5083 11 3250 7433 1275 4000 12 3000 2000 1000 3850 13 2400 1925 800 3000 14 1700 1115 417 3000 15 900 600 413 2000 16 900 500 412 1275 17 600 454 412 840 18 500 425 405 835 19 480 415 401 800 20 445 411 401 775 21 440 406 400 457 22 425 400 398 422 23 420 393 397 421 24 415 393 396 406 25 395 392 396 405 26 393 390 396 403 27 390 390 392 400 28 390 390 390 396Explanation / Answer
a.
b.
Interquartile range : IQR = 3rd Quartile - 1st quartile = 6087.5 - 436.25 = 5651.25
Lower limit = Q1 - 1.5*IQR = 436.25- 1.5*5651.25 = -8040.63
Upper Limit = Q3 +1.5*IQR = 6087.5 + 1.5*5651.25 = 14564.38
c.
https://www.dropbox.com/s/br916dbdvm5qwoh/Phillies.xlsx?dl=0
Phillies Total Payroll 96870 Smallest 390 First Quartile 436.25 Median 1300 Third Quartile 6087.5 Largest 14250Related Questions
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