Applied Statistics

MAT 273 — Applied Statistics: PROJECT I

50 points

Tu University Football Team 2015

This past couple of weeks you have just studied the topics of mean, median, mode, quartiles and standard deviation. Now, we are going to use these mathematical concepts to analyze the weights of the Tiffin University football team. Attached is a roster of the players with their weights, and an electronic form of this data is available on the course webpage.

Data Analysis:

Find your own personal sample of 30 players by starting at the player named in the email that accompanied this assignment. Start counting with the next person on the list, and take every third person on the list until you get 30 people. (Jump to the top of the table if you run out.)

Compute the five-number summary using the sample data above and then construct a box-and-whisker plot for the data. If you wish, you can use the graph template document and stretch the elements to fit your data, or draw the graph neatly and accurately by hand.

Calculate the mean and standard deviation for the sample data.

Use the mean and standard deviation from Part 3 to create an Empirical Rule graph (normal curve). Compare the curve to the box and whisker plot to determine if the data “roughly” follows the Empirical Rule. If you wish, you can use the graph template document and stretch the elements to fit your data.

The population mean for the entire team is 214.6 pounds and population standard deviation for the entire team is 42.2 pounds. Compare these to the results for step 3. Do your sample statistics fairly represent the population parameters?

Report your findings:

In addition to submitting all work and calculations (whether done by hand or on Excel), you are to submit a word-processed 6-paragraph summary of the assignment and your findings. The summary should be formatted with one paragraph for the introduction , one paragraph of analysis/interpretation for each of steps two through five listed above, and a one-paragraph conclusion. The summary should not detail your method of calculations, rather it should report and interpret the results of your calculations and what they mean. Submit the data, the calculations, the graphs, and the analysis paper to Moodle or to the instructor on or before the due date.

2015 Football Roster

#

First Name

Last Name

Cl.

Pos.

Ht.

Wt.

Hometown

60

Warsame

Aden

FR

OL

6’ 5”

278

Columbus, Ohio

4

Jalen

Alexander

SO

DB

5’ 10”

180

Miami Gardens, Fla.

71

Matt

Anderson

FR

OL

6’ 4”

295

Monticello, Indiana

10

Jeremy

Armstrong

JR

WR

6’ 3”

205

Springfield, Ohio

25

Roamelle

Bell

SR

CB

5’ 9”

182

Shaker Heights, Ohio

 

Jonathan

Bisono

FR

OL

6’ 2”

270

Cincinnati, Ohio

 

Nathan

Blair

FR

OL

6’ 4”

300

Amherst, Ohio

 

Jon

Blankenship

FR

DE

6’ 0”

230

Dunkirk, Indiana

20

Patrick

Boggs

SR

RB

6’ 0”

205

Mogadore, Ohio

40

Davion

Bowers

SR

RB

5’ 10”

220

Canal Winchester OH

96

Josh

Brebant

FR

K

6’ 1”

190

Akron, Ohio

24

Jerry

Brown

JR

RB

6’ 1”

185

McComb, Ohio

62

Mason

Butler

SO

OL

6’ 2”

275

Malvern, Ohio

19

Derek

Calderon

SO

DB

5’ 10”

180

Covina, Ca.

48

Jake

Carisales

SO

LB

5’ 10”

190

Port Clinton, Ohio

68

Alec

Carnicom

FR

OL

6’ 2”

280

Freemont, Ohio

73

Chase

Carter

SO

OL

6’ 3”

275

Lewis Center, Ohio

77

David

Castorena

SR

OL

6’ 3”

295

Phoenix, Ariz.

12

Victor

Cave

FR

LS

6’ 1”

240

Cincinnati, Ohio

 

Cole

Chandler

FR

WR

5’ 10”

180

Springboro, Ohio

 

Maurice

Chatman II

FR

RB

5’ 7”

160

Columbus, Ohio

 

Troy

Clay

FR

RB

5’ 9”

190

Springfield, Ohio

46

Sheldon

Clemons

SR

RB

5’ 11”

180

Detroit, Mich.

 

Nathan

Coffman

FR

TE

6’ 4”

230

Crestline, Ohio

 

Charles

Cole III

FR

DE

6’ 2”

240

Ypsilanti, Michigan

18

Carrington

Contee

SO

DB

5’ 9”

160

Tracey's Landing, MD

84

Pedro

Correa III

SR

WR

6’ 1”

165

Deerfield Beach, Fla.

15

Mike

Covington

JR

LB

6’ 1”

210

Columbus, Ohio

65

Kameron

Crim

FR

OL

6’ 4”

305

Covington, Kentucky

 

Alec

D'Angela

FR

LB

5’ 10”

190

Windsor, Ontario, Canada

 

Blake

Darnell

FR

DT

6’ 2”

240

New Lexington, Ohio

 

Twain

Davis

FR

DT

6’ 2”

330

Marion, Ohio

 

Christian

Dawson

FR

WR

5’ 11”

205

Mt. Orab, Ohio

37

Tomislav

Derezic

SR

K

6’ 0”

220

Mentor, Ohio

 

Quintin

Dowdy

FR

FS

6’ 2”

190

Walled Lake, Michigan

#

First Name

Last Name

Cl.

Pos.

Ht.

Wt.

Hometown

94

Ryean

Dowling

SO

LB

5’ 11”

180

St. Thomas, Virgin Islands

33

Jordan

Dye

FR

SS

6’ 0”

200

Tiffin, Ohio

18

DJ

Edwards-Stewart

SR

DB

6’ 0”

205

Detroit, Michigan

 

Tommy

Fallow

FR

DE

6’ 3”

210

Chillicothe, Ohio

13

Brock

Fargus

FR

QB

6’ 2”

185

Zanesville, Ohio

70

Kile

Fox

SO

OL

6’ 2”

275

Bellevue, Ohio

98

Jared

Friszman

SO

PK

5’ 10”

170

Macedonia, Ohio

87

Derek

Goecke

JR

WR

6’ 2”

185

Spencerville, Ohio

 

Calvin

Green

FR

WR

5’ 11”

200

Flint, Michigan

50

Evan

Green

FR

LB

6’ 3”

220

Lapeer, Michigan

30

Ryan

Grooms

FR

LB

6’ 3”

230

Grove City, Ohio

 

Joseph

Harakal

FR

K/P

5’ 11”

180

Catasauqua, Pa.

58

Blake

Harper

SO

DE

6’ 1”

240

Dayton, Ohio

45

Terry

Harper

JR

LB

5’ 11”

220

Columbus, Ohio

 

Garrett

Hausman

FR

LB

5’ 10”

220

Freemont, Ohio

35

Andrew

Hawkins

FR

LB

6’ 2”

190

Cincinnati, Ohio

36

Al

Haynes

SO

RB

5’ 10”

175

Bellevue, Ohio

63

David

Heil

SO

OT

6’ 6”

330

Galloway, Ohio

81

Jordan

Herrnstein

FR

TE

6’ 4”

190

New Washington, Ohio

28

Justin

Herrnstein

SR

LB

6’ 4”

220

New Washington, Ohio

 

Jordan

Hissong

FR

WR

6’ 1”

178

Fort Wayne, Indiana

5

Charles

Holland

SO

WR

6’ 4”

185

Columbus, Ohio

 

Orlando

Howard

FR

LB

5’ 8”

200

Cincinnati, Ohio

 

Toriano

Hudson

FR

CB

5’ 9”

140

Warren, Michigan

 

Hayden

Hunter

FR

RB

5’ 9”

190

Lewis Center, Ohio

19

Antwon

Ivery

FR

WR

5’ 10”

185

South Bend, Indiana

 

Marvin

Jackson III

FR

DB

6’ 2”

180

Oberlin, Ohio

43

Austin

Jasper

SO

LB

6’ 3”

235

Earlville, N.Y.

27

Sean

Johnson

SO

S

6’ 0”

195

Miramar, Florida

8

Vinny

Jones

JR

DE

6’ 3”

225

Dublin, Ohio

1

Johnny

Joseph

FR

DB

5’ 8”

170

Ft. Lauderdale, Florida

 

Nicholas

Kemper

FR

DE

6’ 3”

215

Bucyrus, Ohio

 

Melvin

King

FR

RB

6’ 1”

213

Euclid, Ohio

90

Eddie

Kontul

SO

DL

6’ 4”

275

Marengo, Ohio

56

Kevin

Lefeld

SO

DE

6’ 3”

235

Huber Heights, Ohio

#

First Name

Last Name

Cl.

Pos.

Ht.

Wt.

Hometown

69

John

Lewis

SO

OL

6’ 4”

313

Trotwood, Ohio

37

Kade

Long

FR

LB

6’ 0”

230

Clyde, Ohio

 

Keegan

Lowe

FR

LB

6’ 0”

220

Port Clinton, Ohio

42

Morgan

Loyd

JR

OLB

6’ 3”

220

Dacula, Ga.

 

William

Martin

FR

TE

6’ 1”

230

Rockford, Michigan

82

Eric

Maskey

SO

P

6’ 3”

210

Sycamore, Ohio

2

Willie

Mays III

JR

DE

6’ 4”

225

Escondido, California

15

Colin

McNamara

FR

QB

6’ 0”

175

Fairview Park, Ohio

 

Jacob

Mertus

FR

LB

6’ 1”

200

Tallmadge, Ohio

 

Blake

Miller

FR

SS

5’ 9”

180

Clyde, Ohio

14

Caleb

Miller

SO

DB

5’ 11”

185

Carlisle, Ohio

64

Azell

Mitchell

SO

OL

6’ 3”

280

Cincinnati, Ohio

23

Ross

Moore

FR

CB

5’ 9”

160

Lake Orion, Michigan

47

Lewis

Morrison

FR

DB

5’ 8”

170

Lexington, Kentucky

14

Joseph

Mullen

FR

QB

6’ 3”

185

Dundee, Illinois

 

Blane

Murillo

FR

WR

5’ 8”

178

Lakeland, Michigan

72

Matt

Noble

JR

OL

6’ 3”

285

Cincinnati, Ohio

26

Jordan

Nobles

SO

RB

5’ 10”

176

Northfield, Ohio

9

Clinton

Okoro

SR

DB

5’ 9”

170

San Jose, Ca.

51

Gregery

Page

FR

LB

6’ 1”

225

Cleveland, Ohio

 

Lafaele

Pauli

FR

S

5’ 10”

210

San Jose, California

2

Antonio

Pipkin

JR

QB

6’ 3”

205

Gary, Ind.

76

Max

Pollom

JR

OL

6’ 6”

310

Plain City, Ohio

44

Tommy

Pritchard

SR

LB

6’ 3”

230

Way Care, Ariz.

93

Jalen

Randolph

JR

DL

5’ 10”

250

Columbus, Ohio

91

Jamar

Randolph

JR

DL

6’ 0”

230

Columbus, Ohio

16

Austen

Rankin

JR

WR

5’ 10”

170

Dublin, Ohio

9

Isaiah

Richmond

FR

RB

6’ 0”

225

Pickerington, Ohio

 

Ryan

Rios

FR

WR

5’ 7”

155

Loudonville, Ohio

17

Cody

Rollins

SO

SS

6’ 2”

185

Lima, Ohio

 

Schnyder

Rosier

FR

CB

5’ 7”

165

Palm Beach, Florida

 

Charles

Ross III

FR

RB

5’ 7”

175

Toronto, Ohio

 

Michael

Sabol

FR

DE

6’ 2”

230

Parma Heights, Ohio

7

Jalen

Santoro

JR

WR

6’ 1”

160

Bellevue, Ohio

 

Dylan

Saunders

FR

K

5’ 10”

215

Gallipolis, Ohio

#

First Name

Last Name

Cl.

Pos.

Ht.

Wt.

Hometown

66

Logan

Schneider

SO

OL

6’ 3”

290

Alexandria, Ky.

21

Shawn

Scott

JR

DB

6’ 0”

195

Dublin, Ohio

 

Logan

See

FR

LS

6’ 0”

220

Grove City, Ohio

11

Tony

Shead

SR

WR

6’ 1”

190

South Bend, Ind.

80

Jamal

Slappy

FR

WR

6’ 3”

195

Columbus, Ohio

83

Jalen

Slick

FR

WR

5’ 10”

175

Freemont, Ohio

29

Tajah

Smith

FR

RB

5’ 9”

179

South Bend, Indiana

 

Anthony

Springer

FR

WR

6’ 1”

208

Southfield, Michigan

31

Jesse

Stoudt

SR

LB

6’ 0”

220

Barnesville, Ohio

41

Mike

Taggart

SO

LB

6’ 1”

180

Gahanna, Ohio

57

Ridge

Tarwacki

FR

OL

6’ 3”

300

Edwardsburg, Michigan

 

Brok

Theisen

FR

LB

6’ 0”

180

New Bavaria, Ohio

 

Johnson

Thomas

FR

LB

5’ 9”

215

Pompano Beach, Florida

75

Al

Thompson

JR

DT

6’ 4”

300

Marysville, Ohio

 

DeAndre

Thompson

FR

TE

6’ 1”

255

Euclid, Ohio

 

Manzy

Velasquez

FR

DT

5’ 11”

265

Tampa, Florida

 

Kevin

Wade

FR

DL

6’ 2”

290

Canal Winchester, Ohio

54

Hunter

Waits

FR

DE

6’ 5”

235

Columbus, Ohio

53

Darius

Walker

SO

DT

6’ 3”

285

Marysville, Ohio

 

Marty

Ward

FR

RB

5’ 9”

223

Niles, Michigan

3

Chris

Watkins

SO

RB

5’ 9”

190

Southfield, Mich.

20

Dareian

Watkins

FR

WR

6’ 1”

195

Galion, Ohio

 

Bryan

Watson II

FR

DB

5’ 9”

155

Farmington Hills, Michigan

19

Nick

Wheeler

SO

QB

6’ 0”

180

Mansfield, Ohio

6

Stefan

Willis

SO

DB

6’ 0”

185

Akron, Ohio

10

Austin

Woodside

FR

QB

5’ 11”

200

Chesterfield, Michigan

 

Brant

Zemelka

FR

SS

5’ 11”

180

Middlefield, Ohio