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During your reading this week and after watching the videos, you will have learn

ID: 3201218 • Letter: D

Question

During your reading this week and after watching the videos, you will have learned about measures of central tendency such as the mean and the median. Here is the attachment that contains 2015 salary information for MLB players.   2015 MLB Salaries(4).docx

For this discussion you will choose a team that another student has not chosen and find the mean and median salary. Your post should be on what team you chose, and what the median and mean salaries were. Next, Google the first 2 or 3 player names on your team and determine what position they play. What position is most valued on the team you chose? Finally, you will briefly discuss any differences in the mean and the median and why the mean and median are different, statistically. Any other insights or comments are welcome. Your reply to other students should compare your team results to what their team results were. Again, any other insights or comments are welcome.

2015 MLB Salaries by team/player

AL Central

CHICAGO WHITE SOX

John Danks

$15,750,000

Melky Cabrera

13,000,000

Adam LaRoche

12,000,000

Alexei Ramirez

10,000,000

David Robertson

10,000,000

Jeff Samardzija

9,800,000

Jose Abreu

8,666,667

Chris Sale

6,000,000

Zach Duke

4,500,000

Emilio Bonifacio

3,000,000

Tyler Flowers

2,675,000

Gordon Beckham

2,000,000

Hector Noesi

1,950,000

Jose Quintana

1,000,000

Javy Guerra

937,500

Adam Eaton

850,000

dl-Nate Jones

660,000

Conor Gillaspie

555,000

Zach Putnam

525,000

Avisail Garcia

523,000

Dan Jennings

523,000

Jake Petricka

520,000

Kyle Drabek

518,200

J.B. Shuck

516,000

Eric Surkamp

516,000

Maikel Cleto

512,000

Erik Johnson

510,000

Carlos Sanchez

510,000

CLEVELAND INDIANS

Nick Swisher

$15,000,000

Michael Bourn

13,500,000

Brandon Moss

6,500,000

Carlos Santana

6,200,000

David Murphy

6,000,000

Michael Brantley

5,875,000

Jason Kipnis

4,166,667

Gavin Floyd

4,000,000

Mike Aviles

3,500,000

Ryan Raburn

2,500,000

Marc Rzepczynski

2,400,000

Carlos Carrasco

2,337,500

Lonnie Chisenhall

2,250,000

Trevor Bauer

1,940,000

Bryan Shaw

1,550,000

Yan Gomes

1,083,333

Scott Atchison

900,000

Corey Kluber

601,000

Cody Allen

547,100

Zach McAllister

520,400

Nick Hagadone

517,100

T.J. House

511,900

Jose Ramirez

511,300

Kyle Crockett

510,900

Zach Walters

509,600

Roberto Perez

508,600

Austin Adams

507,700

Jesus Aguilar

507,600

———

DETROIT TIGERS

Justin Verlander

$28,000,000

Miguel Cabrera

22,000,000

David Price

19,750,000

Anibal Sanchez

16,800,000

Ian Kinsler

16,000,000

Victor Martinez

14,000,000

Yoenis Cespedes

10,500,000

Joe Nathan

10,000,000

Joakim Soria

7,000,000

Alfredo Simon

5,550,000

Alex Avila

5,400,000

Rajai Davis

5,000,000

J.D. Martinez

3,000,000

Al Alburquerque

1,725,000

Jose Iglesias

1,443,750

Joba Chamberlain

1,000,000

Tom Gorzelanny

1,000,000

Nick Castellanos

525,000

Andrew Romine

520,000

Anthony Gose

515,000

Shane Greene

515,000

Ian Krol

515,000

Blaine Hardy

514,000

Bruce Rondon

510,000

Hernan Perez

508,500

James McCann

507,500

Angel Nesbitt

507,500

Kyle Ryan

507,500

———

KANSAS CITY ROYALS

Alex Gordon

$13,750,000

Alex Rios

9,500,000

Jeremy Guthrie

9,000,000

Jason Vargas

8,500,000

Greg Holland

8,250,000

Omar Infante

7,500,000

Edinson Volquez

7,500,000

Wade Davis

7,000,000

Kendrys Morales

6,500,000

Eric Hosmer

5,650,000

Luke Hochevar

4,000,000

Alcides Escobar

3,000,000

Lorenzo Cain

2,725,000

Mike Moustakas

2,640,000

Danny Duffy

2,425,000

dl-Kris Medlen

2,000,000

Salvador Perez

1,750,000

Kelvin Herrera

1,600,000

Tim Collins

1,475,000

Jason Frasor

1,250,000

Jarrod Dyson

1,225,000

Louis Coleman

725,000

Chris Young

675,000

Yordano Ventura

535,675

Erik Kratz

532,500

Christian Colon

509,525

Brian Flynn

508,450

Paulo Orlando

507,500

———

MINNESOTA TWINS

Joe Mauer

$23,000,000

Ervin Santana

13,500,000

Ricky Nolasco

12,000,000

Torii Hunter

10,500,000

Phil Hughes

9,200,000

Kurt Suzuki

6,000,000

Mike Pelfrey

5,500,000

Trevor Plouffe

4,800,000

Glen Perkins

4,650,000

Tommy Milone

2,775,000

Brian Duensing

2,700,000

Tim Stauffer

2,200,000

Brian Dozier

2,000,000

Jordan Schafer

1,550,000

Casey Fien

1,375,000

Eduardo Nunez

1,025,000

Blaine Boyer

750,000

Kyle Gibson

537,500

Oswaldo Arcia

532,500

Eduardo Escobar

532,500

Danny Santana

530,000

Caleb Thielbar

520,000

Kennys Vargas

517,500

Josmil Pinto

512,500

Chris Herrmann

510,000

J.R. Graham

507,500

1

AL West

HOUSTON ASTROS

Scott Feldman

$10,000,000

Jed Lowrie

8,000,000

Colby Rasmus

8,000,000

Luke Gregerson

6,000,000

Pat Neshek

5,500,000

Luis Valbuena

4,200,000

Chris Carter

4,175,000

Jason Castro

4,000,000

Chad Qualls

3,000,000

Jose Altuve

2,687,500

Tony Sipp

2,400,000

Jon Singleton

2,000,000

Hyun Conger

1,075,000

Marwin Gonzalez

1,062,500

Alex Presley

1,000,000

Evan Gattis

526,500

Samuel Deduno

525,100

Dallas Keuchel

524,500

Josh Fields

516,700

Collin McHugh

516,300

Brett Oberholtzer

515,800

Brad Peacock

515,800

Robert Grossman

515,000

Will Harris

513,900

Jonathan Villar

513,000

George Springer

512,900

Jake Marisnick

511,200

L.J. Hoes

510,600

Kevin Chapman

510,300

Asher Wojciechowski

507,500

LOS ANGELES ANGELS

Josh Hamilton

$25,400,000

Albert Pujols

24,000,000

C.J. Wilson

18,500,000

Jered Weaver

18,200,000

Erick Aybar

8,750,000

Huston Street

7,000,000

David Freese

6,425,000

Mike Trout

6,083,333

Chris Iannetta

5,525,000

Joe Smith

5,250,000

Matt Joyce

4,750,000

Garrett Richards

3,200,000

Hector Santiago

2,290,000

Noel Salas

1,370,000

Cesar Ramos

1,312,500

Vinnie Pestano

1,150,000

Collin Cowgill

995,000

Drew Butera

987,500

Kole Calhoun

537,500

Josh Rutledge

527,500

Matt Shoemaker

517,500

Johnny Giavotella

516,250

Tyler Skaggs

515,000

Mike Morin

514,000

Cory Rasmus

513,000

C.J. Cron

512,500

Grant Green

511,500

Dan Robertson

511,250

Efren Navarro

511,000

Jose Alvarez

509,500

Andrew Heaney

509,250

Taylor Featherston

507,500

Kyle Kubitza

507,500

Carlos Perez

507,500

Drew Rucinski

507,500

———

OAKLAND ATHLETICS

Scott Kazmir

$13,000,000

Coco Crisp

11,000,000

Tyler Clippard

8,300,000

Ben Zobrist

7,750,000

Billy Butler

6,666,667

Eric O'Flaherty

6,275,000

Josh Reddick

4,100,000

Ike Davis

3,800,000

Jesse Chavez

2,150,000

Brett Lawrie

1,925,000

Sam Fuld

1,750,000

Craig Gentry

1,600,000

Fernando Abad

1,087,500

Eric Sogard

1,075,000

Jarrod Parker

850,000

Sean Doolittle

780,000

dl-A.J. Griffin

517,500

Drew Pomeranz

517,500

Nate Freiman

512,500

Sonny Gray

512,500

Dan Otero

512,500

Evan Scribner

512,500

Stephen Vogt

512,500

Josh Phegley

510,000

Marcus Semien

510,000

R.J. Alvarez

507,500

Billy Burns

507,500

Mark Canha

507,500

Kendall Graveman

507,500

Jesse Hahn

507,500

Tyler Ladendorf

507,500

Sean Nolin

507,500

dl-Taylor Thompson

507,500

———

CHICAGO WHITE SOX

John Danks

$15,750,000

Melky Cabrera

13,000,000

Adam LaRoche

12,000,000

Alexei Ramirez

10,000,000

David Robertson

10,000,000

Jeff Samardzija

9,800,000

Jose Abreu

8,666,667

Chris Sale

6,000,000

Zach Duke

4,500,000

Emilio Bonifacio

3,000,000

Tyler Flowers

2,675,000

Gordon Beckham

2,000,000

Hector Noesi

1,950,000

Jose Quintana

1,000,000

Javy Guerra

937,500

Adam Eaton

850,000

dl-Nate Jones

660,000

Conor Gillaspie

555,000

Zach Putnam

525,000

Avisail Garcia

523,000

Dan Jennings

523,000

Jake Petricka

520,000

Kyle Drabek

518,200

J.B. Shuck

516,000

Eric Surkamp

516,000

Maikel Cleto

512,000

Erik Johnson

510,000

Carlos Sanchez

510,000

CLEVELAND INDIANS

Nick Swisher

$15,000,000

Michael Bourn

13,500,000

Brandon Moss

6,500,000

Carlos Santana

6,200,000

David Murphy

6,000,000

Michael Brantley

5,875,000

Jason Kipnis

4,166,667

Gavin Floyd

4,000,000

Mike Aviles

3,500,000

Ryan Raburn

2,500,000

Marc Rzepczynski

2,400,000

Carlos Carrasco

2,337,500

Lonnie Chisenhall

2,250,000

Trevor Bauer

1,940,000

Bryan Shaw

1,550,000

Yan Gomes

1,083,333

Scott Atchison

900,000

Corey Kluber

601,000

Cody Allen

547,100

Zach McAllister

520,400

Nick Hagadone

517,100

T.J. House

511,900

Jose Ramirez

511,300

Kyle Crockett

510,900

Zach Walters

509,600

Roberto Perez

508,600

Austin Adams

507,700

Jesus Aguilar

507,600

———

DETROIT TIGERS

Justin Verlander

$28,000,000

Miguel Cabrera

22,000,000

David Price

19,750,000

Anibal Sanchez

16,800,000

Ian Kinsler

16,000,000

Victor Martinez

14,000,000

Yoenis Cespedes

10,500,000

Joe Nathan

10,000,000

Joakim Soria

7,000,000

Alfredo Simon

5,550,000

Alex Avila

5,400,000

Rajai Davis

5,000,000

J.D. Martinez

3,000,000

Al Alburquerque

1,725,000

Jose Iglesias

1,443,750

Joba Chamberlain

1,000,000

Tom Gorzelanny

1,000,000

Nick Castellanos

525,000

Andrew Romine

520,000

Anthony Gose

515,000

Shane Greene

515,000

Ian Krol

515,000

Blaine Hardy

514,000

Bruce Rondon

510,000

Hernan Perez

508,500

James McCann

507,500

Angel Nesbitt

507,500

Kyle Ryan

507,500

———

KANSAS CITY ROYALS

Alex Gordon

$13,750,000

Alex Rios

9,500,000

Jeremy Guthrie

9,000,000

Jason Vargas

8,500,000

Greg Holland

8,250,000

Omar Infante

7,500,000

Edinson Volquez

7,500,000

Wade Davis

7,000,000

Kendrys Morales

6,500,000

Eric Hosmer

5,650,000

Luke Hochevar

4,000,000

Alcides Escobar

3,000,000

Lorenzo Cain

2,725,000

Mike Moustakas

2,640,000

Danny Duffy

2,425,000

dl-Kris Medlen

2,000,000

Salvador Perez

1,750,000

Kelvin Herrera

1,600,000

Tim Collins

1,475,000

Jason Frasor

1,250,000

Jarrod Dyson

1,225,000

Louis Coleman

725,000

Chris Young

675,000

Yordano Ventura

535,675

Erik Kratz

532,500

Christian Colon

509,525

Brian Flynn

508,450

Paulo Orlando

507,500

———

MINNESOTA TWINS

Joe Mauer

$23,000,000

Ervin Santana

13,500,000

Ricky Nolasco

12,000,000

Torii Hunter

10,500,000

Phil Hughes

9,200,000

Kurt Suzuki

6,000,000

Mike Pelfrey

5,500,000

Trevor Plouffe

4,800,000

Glen Perkins

4,650,000

Tommy Milone

2,775,000

Brian Duensing

2,700,000

Tim Stauffer

2,200,000

Brian Dozier

2,000,000

Jordan Schafer

1,550,000

Casey Fien

1,375,000

Eduardo Nunez

1,025,000

Blaine Boyer

750,000

Kyle Gibson

537,500

Oswaldo Arcia

532,500

Eduardo Escobar

532,500

Danny Santana

530,000

Caleb Thielbar

520,000

Kennys Vargas

517,500

Josmil Pinto

512,500

Chris Herrmann

510,000

J.R. Graham

507,500

Explanation / Answer

CHICAGO WHITE SOX
Min. 1st Qu. Median Mean 3rd Qu. Max.
510000 522200 968800 3876000 6667000 15750000

CLEVELAND INDIANS
Min. 1st Qu. Median Mean 3rd Qu. Max.
507600 515800 1745000 3052000 4042000 15000000

DETROIT TIGERS

Min. 1st Qu. Median Mean 3rd Qu. Max.
507500 515000 1584000 6208000 10120000 28000000

KANSAS CITY ROYALS
Min. 1st Qu. Median Mean 3rd Qu. Max.
507500 1100000 2532000 3973000 7125000 13750000

MINNESOTA TWINS

Min. 1st Qu. Median Mean 3rd Qu. Max.
507500 532500 1775000 4162000 5325000 23000000

HOUSTON ASTROS
Min. 1st Qu. Median Mean 3rd Qu. Max.
507500 515200 763200 2361000 3750000 10000000

LOS ANGELES ANGELS
Min. 1st Qu. Median Mean 3rd Qu. Max.
507500 512000 987500 4284000 5388000 25400000

OAKLAND ATHLETICS

Min. 1st Qu. Median Mean 3rd Qu. Max.
507500 510000 517500 2448000 2150000 13000000

These are the five number summary of 8 teams. The mean and median are the measures of central tendency. Median is a location based measure and mean is parametric measure. Mean is influenced by the outlier where is median is not. This is one of the main feature and difference of two measures. This is reflected in this case. Here we can say that the median and mean differ in these dataset due to this reason. Let us consider dataset 8 which is OAKLAND ATHLETICS.

Scott Kazmir and Coco Crisp is the top two player and they play in the place of pitcher and outfielder. These are a few positions where players get more payment that the other positions.