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Applied Statistics: PROJECT I

Football Team

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 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:

1. 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.)

2. 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.

3. Calculate the mean and standard deviation for the sample data.

4. 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.

5. The population mean for the entire team is 213.8 pounds and population standard deviation for the entire team is 48.4 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.

Note that a readable picture of the graphs is acceptable in a Moodle submission.

2017 Football Roster

#	First Name	Last Name	Pos.	Cl.	Ht.	Wt.	Hometown
70	Warsame	Aden	OL	So	6”6”	300	Columbus- Ohio / Hilliard Bradley HS
19	Riley	Adolph	QB	Fr.	6”2”	210	Findlay, OH / Van Buren HS
10	Jalen	Alexander	DB	Sr	5”10”	190	Miami Gardens- Fla. / Miami Carol City HS
71	Mohammed	Amer	OL	Fr.	6”7”	350	Gahanna, OH / Gahanna HS
40	Scott	Arnold Jr.	TE	Fr.	6”2”	250	Lancaster, CA / Eastside HS
88	Antonio	Atkins	WR	Sr.	5”7”	165	Bowling Green, KY / WKU
28	Martin	Bailey	RB	Sr	5”8”	200	Buffalo, NY / Kenmore West HS
28	Kamazi	Bell	CB	Fr.	6”1”	187	Gahanna, OH / Gahanna Lincoln HS
25	Roamelle	Bell	CB	Gr.	5”9”	185	Shaker Heights- Ohio / Shaker Heights HS
15	Brice	Beverly	WR	Fr.	6”2”	180	Columbus, OH / Westerville North HS
49	Jon	Blankenship	DT	So	6”0”	260	Dunkirk- Indiana / Jay County HS
34	Avion	Boyd	LB	Sr	5”11”	225	Toledo- Ohio / -
80	Daesean	Brooks	WR	Fr.	6”4”	185	Lorain, OH / Lorain HS
2	Dontrael	Brown	WR	Sr	6”1”	180	Maple Heights- Ohio / -
1	Kyle	Brunson	RB	So	6”1”	205	Farmington Hills- Mich. / Farmington Hills HS
52	Conner	Buchanan	LB	Fr.	6”0”	205	Avon, OH / Avon Lake HS
33	Brandon	Burks	OLB	So	6”2”	230	Reynoldsburg- Ohio / Pickerington Central HS
62	Mason	Butler	OL	Sr	6”3”	305	Malvern- Ohio / Minerva HS
77	Jeremiah	Campbell	OL	So	6”6”	318	Gahanna- Ohio / Gahanna Lincoln HS
2	Victor	Cave	DE	Jr	6”1”	240	Cincinnati- Ohio / Glen Este
65	Trent	Clark	OL	So	6”1”	290	Dayton- Ohio / Trotwood-Madison HS
94	Amon'Ra	Clay	DL	So	6”0”	265	Atlanta, GA / North Atlanta HS
37	Troy	Clay	RB	So	5”9”	190	Springfield- Ohio / Northeastern HS
55	Charlie	Cleveland	DE	Fr	6”4”	245	East Chicago, IN / Central HS
92	TJ	Coates Jr.	DE	Fr	6”3”	230	Columbus, OH / Olentangy Orange HS
89	Nathan	Coffman	TE	So	6”5”	235	Crestline- Ohio / Crestline HS
36	Gavin	Collins	RB	So	5”11”	205	Syracuse, NY / Christian Brothers Academy
60	Thomas	Combs	OL	So	6”5”	290	Lisbon- Ohio / United Local HS
11	Carrington	Contee	DB	Jr	5”10”	180	Tracey's Landing- MD / Southern HS
72	Andrew	Crooks	OL	Fr.	6”3”	285	Powell, OH / Olentangy Liberty HS
31	Alec	D'Angela	LB	So	5”10”	190	Windsor- Ontario- Canada / Holy Nomes HS
20	George	Daniels IV	ATH	Fr	6”1”	180	Reynoldsburg, OH / Eastmoor HS
45	Blake	Darnell	TE	So	6”2”	255	New Lexington- Ohio / New Lexington HS
31	Jewan	Davis	RB	So	5”10”	195	Fredericksburg- Virginia / James Monroe HS
7	Tyler	Denton	WR	Jr	6”0”	200	Hamilton, OH / Hamilton HS
39	Brayton	England	LB	So	5”11”	185	Greenwood, IN / Greenwood Community HS
26	Adam	Evans	WR	Fr.	6”1”	195	Indianapolis, IN / Southport HS
85	Zack	Exalus	WR	So	6”5”	208	Fairfield, OH / Winton Woods HS
13	Brock	Fargus	QB	Jr	6”2”	205	Zanesville- Ohio / Tri-Valley HS
16	Hunter	Fentress	QB	So	6”1”	175	Clarksville- Ohio / Clinton-Massie HS
13	Cameron	Fox	DE	So	6”3”	230	Hamilton, OH / Talawanda HS
14	Zach	Goecke	DB	So	6”0”	205	Spencerville, OH / Spencerville HS
30	Ryan	Grooms	LB	Jr	6”3”	230	Grove City- Ohio / Grove City HS
21	Landon	Hall	LB	Fr.	6”2”	220	Wapakoneta, OH / Wapakoneta HS
35	Mykel	Hambrick	RB	Fr.	5”7”	210	New Castle, PA / New Castle Junior/Senior HS
4	JaQuan	Hardy	RB	So	5”10”	217	Westlake, OH / Westlake HS
58	Blake	Harper	OL	Jr	6”0”	285	Dayton- Ohio / Clayton Northmont HS
4	Austin	Harris	CB	Fr.	5”11”	170	Woodbridge, VA / Forest Park HS
93	Cardell	Harris	DE	Fr.	6”0”	195	Southfield, MI / Southfield HS
27	Al	Haynes	RB	Jr	5”9”	190	Bellevue- Ohio / Bellevue HS
63	Dave	Heil	OL	Jr	6”5”	310	Galloway- Ohio / Columbus Saint Charles
18	Jordan	Hissong	WR	So	6”1”	178	Fort Wayne- Indiana / Leo HS
3	Jordan	Holder	DB	Fr.	5”10”	170	Indianapolis, IN / Lawrence North High School
5	Charles	Holland	WR	Sr	6”3”	210	Columbus- Ohio / West High School
48	Dwight	Holsey	SS	Fr.	5”10”	190	Detroit, MI / Fitzgerald HS
20	Daijohn	Isbell	DB	Sr	6”3”	210	Long Beach- Cal. / Citrus JC
43	Austin	Jasper	DL	Sr	6”4”	285	Earlville- N.Y. / Sherburne-Earlville HS
9	Davon	Johnson	WR	So	5”11”	178	Cleveland- Ohio / Benedictine HS
21	Richard	Johnson	WR	Fr.	5”11”	175	Columbus, OH / Harvest Prep HS
26	Sean	Johnson	LB	Sr	6”1”	195	Miramar- Florida / Jackson State
64	Eric	Jones	OL	Fr.	6”2”	305	Cleveland, OH / Euclid HS
8	Vinny	Jones	DT	Sr	6”4”	280	Dublin- Ohio / Dublin Coffman HS
38	The-Moor	Kelly	LB	Fr	6”1”	215	Cincinnati, OH / Archbishop Moeller
17	Noah	Lenz	WR	Fr.	5”8”	172	Perrysburg, OH / Perrysburg HS
22	Nick	Lewis	LB	Sr	6”2”	205	Sacramento- Cal. / Mt. Sac JC
17	Justin	Lockett	CB	Fr.	5”10”	170	Cincinnati, OH / Walnut Hills HS
51	Keegan	Lowe	LB	So	6”1”	220	Port Clinton- Ohio / Port Clinton HS
90	Troy	Lucius	TE	Fr.	6”3”	240	Tiffin, OH / Hopewell-Loudon
32	Devon	Lynch	WR	Fr.	5'6"	170	Bloomfield Hills, MI / Bloomfield Hills HS
84	William	Martin	TE	So	6”1”	230	Rockford- Michigan / Rockford HS
79	AJ	Mattia	OL	Fr.	6”4”	422	Tiffin, OH / Harvest Temple HS
2	Tyreese	Mays	RB/DB	Fr.	5”9”	161	Pontiac, MI / Waterford Mott HS
99	Harry	McCollum	P	Gr	6”3”	215	Arlington Heights, IL / Saint Viator HS
78	Nate	McLaughlin	OL	Fr.	6”0”	255	Massillon, OH / Massillon Washington HS
12	Colin	McNamara	QB	So	6”1”	175	Fairview Park- Ohio / Fairview Park HS
35	Alexander	Melfe	DE	Fr	6”3”	230	Delaware, OH / Homeschool
83	Darnea	Merrell II	DL	Fr.	5”11”	300	Toledo, OH / Toledo Whitmer HS
15	Jacob	Mertus	OLB	So	6”0”	205	Tallmadge- Ohio / Tallmadge HS
95	Joe	Metcalf	K	Fr.	6”0”	195	Lewis Center, OH / Olentangy Orange HS
59	Azell	Mitchell	OL	Gr.	6”4”	290	Cincinnati, Ohio / -
8	Brandon	Mitchell	WR	Fr.	5”7”	158	Columbus, OH / Westerville North HS
11	Brayden	Moon	WR	Fr.	5”9”	180	Fostoria, OH / St. Wendelin HS
23	Ross	Moore	CB	Jr	5”9”	160	Lake Orion- Michigan / Orchard Lake St. Mary's
3	Daigien	Morgan	CB	Jr	6”0”	205	South Bend, IN / -
83	Blane	Murillo	WR	Jr	5”8”	178	Lakeland- Michigan / Pinckney
29	Jawan	Nelson	DB	Jr	5”11”	175	Livonia- Mich. / Clarenceville HS
36	Tyler	Nichols	LB	Fr.	6”0”	191	Fairborne, OH / Paulding HS
33	AJ	Nickoli	WR	Fr.	6”1”	185	Lexington, KY / Lexington HS
66	Tomas	Oldham	OL	So	6”1”	315	Blanchester- Ohio / Blanchester HS
48	Donovan	Parker	WR	Fr.	6”1”	180	Southfield, MI / Cass Technical HS
12	Brandon	Patterson	RB	So	5”11”	178	Whiteland- Ind. / Whiteland Community HS
46	Zack	Penrice	WR	Fr.	6”2”	170	Toledo, OH / Start HS
13	Marcus	Perrin	WR	Fr.	5”6”	147	Massillon, OH / Massillon Washington HS
61	James	Pruitt	DT	So	6”2”	315	Columbus- Ohio / Linden-McKinley HS
54	Marvin	Radford	DT	So	6”1”	273	Dayton- Ohio / -
91	Jamar	Randolph	DE	Sr	6”1”	240	Columbus, OH / Columbus Beechcroft HS
91	Brandon	Reed	WR	Fr.	5”10”	160	Mansfield, OH / Northwestern HS
85	Nathan	Richmond	WR	Fr.	6”3”	180	Centerville, OH / Centerville HS
12	Hunter	Rockwell	RB	Jr.	5”11”	205	Vallejo, CA / Newark Memorial HS
47	Johnny	Rupp	LB	Fr.	6”0”	220	Maumee, OH / Anthony Wayne HS
47	Michael	Sabol	DE	So	6”2”	250	Middleburg Heights, Ohio / Holy Name HS
14	Jalen	Santoro	WR	Sr	6”1”	170	Bellevue, OH / Bellevue HS
74	Logan	Schneider	OL	Jr	6”3”	290	Alexandria- Ky. / Campbell County HS
97	Logan	See	LS	Jr	6”0”	220	Grove City- Ohio / Grove City HS
6	Tony	Shead Jr.	WR	Sr.	6”1”	200	South Bend, IN / South Bend Clay HS
86	Jamal	Slappy	WR	Jr	6”2”	205	Columbus- Ohio / Centennial HS
29	Connor	Smith	WR	So	5”9”	170	Madison, OH / Madison High School
82	Tremayne	Smith	WR	So	5”7”	165	Gahanna- Ohio / Gahanna Lincoln HS
24	Trent	Stamm	TE	Sr	6”3”	225	Bellevue- Ohio / Bellevue HS
41	Billy	Strozier III	DB	Fr.	6”0”	165	Menter on the Lake, OH / Mentor HS
87	Victor	Talley	WR	Fr.	6”4”	190	Brunswick, OH / Brunswick HS
57	Ridge	Tarwacki	OL	So	6”4”	305	Edwardsburg, MI / Penn HS
28	Devin	Taylor	DB	So	5”10”	188	Grand Rapids- Mich. / East Kentwood HS
49	Robert	Taylor	RB	So	5”9”	170	Maple Heights- Ohio / Maple Heights HS
96	Coleman	Tennyson	DL	Fr.	6”2”	300	Columbus, IN / Columbus South HS
16	Clarence	Turner	WR	Jr	6”3”	210	Detroit, MI / -
88	Cody	Tyler	WR	Fr.	5”9”	156	Fremont, OH / Fremont Ross HS
50	Nate	Uzelac	LB	Fr.	6”2”	200	Bloomdale, OH / Elmwood High School
47	Pedro	Velasco	RB	Fr.	5”10”	182	Cleveland, OH / Kenston HS
3	Jihad	Vercher	QB	Sr	6”1”	205	Los Angeles- Cal. / American River JC
5	Justice	Waller	DB	Fr.	5”10”	175	Columbus, OH / Mt. Healthy HS
40	Darius	Washington	CB	Jr.	5”11”	182	Waldorf, Md. / Westlake HS
39	Chrystian	Watkins	SS	Fr.	5”10”	195	Cincinnati, OH / Moeller HS
17	Nick	Watson	QB	Fr.	6”0”	190	Cincinnati- Ohio / La Salle HS
96	Nick	Wheeler	WR	Jr	6”2”	190	Mansfield- Ohio / Crestview HS
22	Cam	White	WR	Jr	6”1”	196	Lima- Ohio / Lima Central Catholic HS
86	Roger	White	DB	Fr.	5”10”	170	Clarkston, MI / Lake Orion HS
10	Derell	Williams	WR	Fr	6”0”	170	Cincinnati, OH / Mount Healthy HS
35	Jacob	Williams	CB	Fr	6”1”	191	Fairlawn, OH / Copley HS
45	Justin	Williams	WR	Fr.	6”0”	164	Holland, OH / Holland Springfield HS
40	Michael	Williams	WR	So	5”7”	150	Toledo- Ohio / Roy C. Start
19	Robert	Williamson	DB	So	5”7”	150	Columbus- Ohio / Beechcroft
50	Ryan	Wofford	DE	Fr.	6”5”	245	Detroit, MI / Brother Rice HS
93	Gavin	Woods	WR	Fr.	6”3”	180	Carey, OH / Carey HS
44	AJ	Wright	DE	Sr	6”3”	267	Willoughby- Ohio / -
32	Delan	Wynn	CB	So	5”9”	152	Farmington Hills- Mich. / Southfield HS
42	Tyan	Young	LB	So	6”1”	186	Indianapolis, Ind. / -
68	Matt	Zolkin	OL	Fr.	6”7”	296	Columbus, OH / Olentangy Orange HS