MAT 273 — Applied Statistics: PROJECT I
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 TU 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?
For Project 1 You will get your sample of thirty players starting with player Melvin King, found in line 69 of the Excel data file “Project 1 Data Fall 2015.xls”. Please follow all the instructions found in the description file “Project 1 Fall 2015.doc”
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 |
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