MAT 273 — Applied Statistics: PROJECT I
50 points
This past couple of weeksyou 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. Drawthe graph neatly and accurately by hand.(For online submission, submit a scan or picture.)
- 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). Draw the graph neatly and accurately by hand. Compare the curve to the box and whisker plot to determine if the data “roughly” follows the Empirical Rule.(For online submission, submit a scan or picture.)
- The population mean for the entire team is 221.5 pounds and population standard deviation for the entire team is 46.2 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-processed6-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 notdetail 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.
2018 Football Roster
# | FirstName | Last Name | Pos. | Cl. | Ht. | Wt. | Hometown |
Chase | Abel | DE | Fr | 6’5” | 240 | North Canton, Ohio / Tuslaw HS | |
70 | Warsame | Aden | OL | Jr | 6’6” | 305 | Columbus- Ohio / Hilliard Bradley HS |
11 | Riley | Adolph | QB | R-Fr. | 6’2” | 220 | Findlay, OH / Van Buren HS |
65 | Beau | Arlinghaus | DL | Fr | 6’1” | 250 | Cincinnati, Ohio / Anderson HS |
50 | Blake | Barnes | OL | Fr | 6’0” | 250 | West Bloomfield, Michigan / West Bloomfield HS |
45 | Blaze | Beane | LB | Fr | 5’10” | 200 | Ashville, Ohio / Tears Valley HS |
59 | Brannon | Beverly | LB | Fr | 6’2” | 245 | Callahan, Florida / Yulee HS |
88 | Brice | Beverly | WR | R-Fr. | 6’2” | 180 | Columbus, OH / Westerville North HS |
26 | Marcus | Borden | WR | Fr | 5’9” | 155 | Cincinnati, Ohio / Walnut Hills HS |
31 | Terry | Botdorf Jr. | WR | So | 5’6” | 160 | Mansfield, Ohio / Mansfield Senior HS |
95 | Devon | Bouyer | DL | So. | 6’2” | 260 | Toledo, Oho / Toledo Whitmer HS |
34 | Avion | Boyd | CB | Fr | 5’11” | 230 | Toledo, Oho / Toledo Start HS |
80 | Daesean | Brooks | WR | R-Fr. | 6’4” | 185 | Lorain, OH / Lorain HS |
67 | Dane | Brooks | OL | Fr | 6’5” | 273 | Indianapolis, Indiana / North Central HS |
49 | Quay | Brown | LB | Fr | 5’11” | 187 | Sanduky, Ohio / Sandusky HS |
1 | Kyle | Brunson | RB | Jr | 6’1” | 205 | Farmington Hills- Mich. / Farmington Hills HS |
77 | Jeremiah | Campbell | OL | R-So. | 6’6” | 318 | Gahanna- Ohio / Gahanna Lincoln HS |
23 | Tyler | Carter | QB | Fr | 6’2” | 180 | Dayton, Ohio / Springfield HS |
31 | Tyrik | Carter | Fr | DB | 5’11” | 185 | Pickerington, Ohio / Pickerington North HS |
52 | Yoseph | Carter | OL | Fr | 6’4” | 280 | Cincinnati, Ohio / Princeton HS |
65 | Trent | Clark | OL | R-So. | 6’1” | 290 | Dayton- Ohio / Trotwood-Madison HS |
91 | Amon’Ra | Clay | DL | Jr | 6’0” | 265 | Atlanta, GA / North Atlanta HS |
2 | Charlie | Cleveland | DE | So | 6’4” | 245 | East Chicago, IN / Central HS |
96 | Nathan | Coffman | TE | R-So. | 6’5” | 235 | Crestline- Ohio / Crestline HS |
66 | Ja’Veon | Coleman | DL | Fr | 6’2” | 290 | Detroit, Michigan / River Rouge HS |
58 | Thomas | Combs | OL | R-So. | 6’5” | 290 | Lisbon- Ohio / United Local HS |
11 | Carrington | Contee | DB | Sr | 5’10” | 180 | Tracey’s Landing- MD / Southern HS |
18 | Kenny | Cook | LB | Fr | 6’2” | 235 | Rome City, Indiana / East Noble HS |
32 | Trenton | Cramer | RB | Fr | 5’11” | 220 | Parma, Ohio / Padua Franciscan HS |
62 | Andrew | Crooks | OL | R-Fr. | 6’3” | 285 | Powell, OH / Olentangy Liberty HS |
23 | George | Daniels IV | ATH | So | 6’1” | 180 | Reynoldsburg, OH / Eastmoor HS |
45 | Blake | Darnell | TE/DL | Jr | 6’2” | 255 | New Lexington- Ohio / New Lexington HS |
25 | Donyel | Denson | DB | Fr | 5’10” | 180 | Dayton, Ohio / Wayne HS |
7 | Tyler | Denton | WR | Sr | 6’0” | 190 | Hamilton, OH / Hamilton HS |
22 | Marquette | Dixon | RB | Fr | 5’10” | 205 | Columbus, Ohio / Bishop Hartley HS |
41 | Rashon | Edwards | DB | Fr | 6’0” | 190 | Cincinnati, Ohio / St. Xavier HS |
3 | Zack | Exalus | WR | Jr | 6’5” | 208 | Fairfield, OH / Winton Woods HS |
72 | Jordan | Fair | OL | Jr | 6’5” | 280 | Mason, Ohio / Mason HS |
89 | Skylar | Fletcher | TE | Fr | 6’3” | 245 | Indianapolis, Indiana / Ben Davis HS |
90 | Cameron | Fox | DE | Jr | 6’3” | 230 | Hamilton, OH / Talawanda HS |
37 | Jacob | Franczak | LB | Fr | 6’1” | 225 | North Royalton, Ohio / North Royalton HS |
76 | Will | Galbraith | OL | Fr | 6’4” | 270 | Detroit, Michigan / Cass Technical HS |
92 | Tariq | Gilbert | DL | R-Fr. | 6’1” | 240 | Waverly, Ohio / Waverly HS |
14 | Zach | Goecke | LB | Jr | 6’0” | 205 | Spencerville, OH / Spencerville HS |
15 | Mason | Gray | WR | Fr | 6’3” | 185 | Chicago, Illinois / Bremen HS |
67 | Samuel | Hait | DE | Gr. | 6’1” | 225 | Milton, Georgia / Cambridge HS |
21 | Landon | Hall | LB | So. | 6’2” | 220 | Wapakoneta, OH / Wapakoneta HS |
86 | Lorenzo | Hampton | WR | Fr | 5’10” | 173 | Detroit, Michigan / Bradford Academy HS |
4 | JaQuan | Hardy | RB | Jr | 5’10” | 217 | Westlake, OH / Westlake HS |
33 | Jonathan | Harrington | DL | Fr | 6’2” | 228 | Chicago, Illinois / Gahanna Lincoln HS |
56 | Elijah | Harris | LB | Fr | 6’1” | 205 | Cincinnati, Ohio / Princeton HS |
63 | Dave | Heil | OL | Sr | 6’5” | 310 | Galloway- Ohio / Columbus Saint Charles |
40 | Kolten | Henry | DL | Fr | 6’0” | 225 | Bellevue, Ohio / Bellevue HS |
5 | Charles | Holland | WR | Sr | 6’3” | 210 | Columbus- Ohio / West High School |
13 | Dwight | Holsey | SS | R-Fr. | 5’10” | 190 | Detroit, MI / Fitzgerald HS |
59 | Brandon | Huddelston | OL | Fr | 6’2” | 320 | Mt. Orab, Ohio / Western Brown HS |
24 | Kevin | Hyde | DB | Fr | 5’11” | 180 | Cincinnati, Ohio / Colerain HS |
20 | Daijohn | Isbell | DB | Sr | 6’3” | 210 | Long Beach, California / Richland HS |
57 | Jaden | Jenkins | LB/DL | Fr | 6’2” | 250 | Springfield, Ohio / Kenton Ridge HS |
9 | Da’Von | Johnson | WR | Jr | 5’11” | 178 | Cleveland- Ohio / Benedictine HS |
61 | Jadan | Josey | OL | Fr | 5’11” | 230 | Portsmouth, Ohio / Portsmouth HS |
30 | The-Moor | Kelly | LB | So | 6’1” | 215 | Cincinnati, OH / Archbishop Moeller |
61 | Josh | Landers | DL | Fr | 5’11” | 269 | Tiffin, Ohio / Columbian HS |
43 | Keilan | Laws | LB | Fr | 6’4” | 185 | Indianapolis, Indiana / Ben Davis HS |
60 | Matt | Lee | DL/OL | Fr | 6’2” | 300 | Amherst, Ohio / Amherst Steele HS |
24 | Noah | Lenz | WR | So. | 5’8” | 172 | Perrysburg, OH / Perrysburg HS |
17 | Diante | Lesperance | DB | Fr | 6’0” | 165 | Dayton,Ohio / Wayne HS |
68 | Joey | Lofton | OL | Fr | 5’11” | 260 | Milwaukee, Wisconsin / Shorewood HS |
22 | Ryland | Lumpkin | DB | Fr | 5’5” | 150 | Cincinnati, Ohio / Princeton HS |
53 | Robert | Lumpkin III | OL | Fr | 5’9” | 252 | Cincinnati, Ohio / Princeton HS |
82 | Devon | Lynch | WR | R-Fr. | 5’6″ | 170 | Bloomfield Hills, MI / Bloomfield Hills HS |
12 | Caleb | Martin | QB | R-Fr. | 6’2” | 200 | Fort Recovery, Ohio / Fort Recovery HS |
84 | William | Martin | TE | R-So. | 6’1” | 230 | Rockford- Michigan / Rockford HS |
35 | Alexander | Melfe | DE | So | 6’3” | 230 | Delaware, OH / Homeschool |
15 | Jacob | Mertus | OLB | Jr | 6’0” | 205 | Tallmadge- Ohio / Tallmadge HS |
99 | Joe | Metcalf | K | R-Fr. | 6’0” | 195 | Lewis Center, OH / Olentangy Orange HS |
32 | Jalen | Mitchell | DB | Fr | 5’11” | 185 | Pickerington, Ohio / Pickerington Central HS |
6 | Ross | Moore | CB | Sr | 5’9” | 160 | Lake Orion- Michigan/Orchard Lake St. Mary’s |
3 | Daigien | Morgan | CB | Sr | 6’0” | 205 | South Bend, IN / – |
10 | Spencer | Moyer | QB | Jr | 6’4” | 220 | Santee, California / West Hills HS |
13 | Blane | Murillo | WR | Sr | 5’8” | 178 | Lakeland- Michigan / Pinckney |
Tavyn | Myers | DB | Fr | 6’2” | 200 | Pickerington, Ohio / Pickerington Central HS | |
48 | AJ | Nickoli | K/WR | So. | 6’1” | 185 | Lexington, KY / Lexington HS |
78 | Jacob | Oglesby | OL | Fr | 6’5” | 365 | Indianapolis, Indiana / Pike HS |
98 | David | Orlando | P | Fr | 5’10” | 180 | Avon, Ohio / Avon HS |
81 | Donovan | Parker | WR | So. | 6’1” | 180 | Southfield, MI / Cass Technical HS |
73 | Caleb | Pierce | OL | Fr | 6’3” | 310 | Sunbury, Ohio / Big Walnut HS |
54 | Marvin | Radford | DT | R-So. | 6’1” | 273 | Dayton- Ohio / – |
27 | Jonathan | Rhodes | RB | So | 5’10” | 185 | Pickerington,, Ohio / Pickerington Centra HS |
29 | Tylan | Rice | RB | Fr | 6’0” | 200 | Cleveland, Ohio / St.Edward’s HS |
85 | Nathan | Richmond | WR | R-Fr. | 6’3” | 180 | Centerville, OH / Centerville HS |
36 | Latrell | Robinson | LB | Fr | 6’4” | 212 | East Cleveland, Ohio / Shaw HS |
50 | Johnny | Rupp | LB | R-Fr. | 6’0” | 220 | Maumee, OH / Anthony Wayne HS |
47 | Michael | Sabol | DE | R-Jr. | 6’3” | 250 | Middleburg Heights, Ohio / Holy Name HS |
74 | Logan | Schneider | OL | R-So. | 6’3” | 290 | Alexandria- Ky. / Campbell County HS |
93 | Logan | See | LS | Sr | 6’0” | 220 | Grove City- Ohio / Grove City HS |
Noah | Sherburn | OL | Fr | 6’3” | 295 | Hickory Flat, Georgia / Sequoyah HS | |
Todd | Simonds | QB | Fr | 6’1” | 190 | Tiffin, Ohio / Columbian HS | |
19 | Connor | Smith | WR | Jr | 5’9” | 170 | Madison, OH / Madison High School |
75 | Phillip | Smith | OL | Fr | 6’4” | 300 | Pittsboro, Indiana / Tri-West HS |
69 | Greg | Snow | DE | Fr | 6’3” | 218 | Louisville, Kentucky / Waggener HS |
20 | Franklin | Steward Jr. | WR | Fr | 5’10” | 160 | Cincinnati, Ohio / North College Hill HS |
8 | Victor | Talley | WR | So. | 6’4” | 190 | Brunswick, OH / Brunswick HS |
57 | Ridge | Tarwacki | OL | Jr | 6’4” | 305 | Edwardsburg, MI / Penn HS |
81 | Cayton | Taylor | DB | FR | 5’9” | 180 | Irwin, Pennsylvania / Norwin HS |
40 | Todd | Toney | TE | Fr | 6’6” | 215 | Delaware, Ohio / Delaware Hayes |
8 | Patrick | Tueimeh | DB | Fr | 6’0” | 188 | Loveland, Ohio / Sycamore, Ohio |
53 | Nate | Uzelac | LB | R-Fr. | 6’2” | 200 | Bloomdale, OH / Elmwood High School |
14 | Jay | Volpenhein | QB | Fr | 6’3” | 205 | Cincinnati, Ohio / Anderson HS |
19 | Hezekiah | Walker | DB | Fr | 5’10” | 175 | Cincinnati, Ohio / West HS |
5 | Justice | Waller | DB | So. | 5’10” | 175 | Columbus, OH / Mt. Healthy HS |
39 | Chrystian | Watkins | SS | So. | 5’10” | 195 | Cincinnati, OH / Moeller HS |
17 | Nick | Watson | QB | R-Fr. | 6’0” | 190 | Cincinnati- Ohio / La Salle HS |
62 | Brandon | Weathers Jr. | DL | Fr | 6’1” | 205 | Springfield, Ohio / Springfield HS |
58 | Jerrell | Wells | DE | Fr | 6’4” | 250 | Sandusky, Ohio / Sandusky HS |
51 | Ravon | White | OL | Fr | 6’1” | 330 | Pickerington, Ohio / Pickerington Central HS |
Marcus | Whitfield | WR | Sr | 6’0” | 180 | Massillon, Ohio / Massillon Washington HS | |
87 | Derell | Williams | WR | So | 6’0” | 170 | Cincinnati, OH / Mount Healthy HS |
9 | Jacob | Williams | CB | So | 6’1” | 191 | Fairlawn, OH / Copley HS |
29 | Justin | Williams | WR | So. | 6’0” | 164 | Holland, OH / Holland Springfield HS |
16 | Marshon | Wilson | DB | Fr | 5’9” | 170 | East Cleveland, Ohio / Shaw High School |
55 | Ryan | Wofford | DE | R-Fr. | 6’5” | 245 | Detroit, MI / Brother Rice HS |
16 | Gavin | Woods | WR | R-Fr. | 6’3” | 195 | Carey, OH / Carey HS |
44 | AJ | Wright | DE | R-Sr. | 6’3” | 270 | Cleveland, Ohio / Gilmour Academy |
86 | Aamani | Wright-Thompson | DL | Fr | 6’1” | 190 | Fort Wayne, Indiana / Wayne HS |
97 | Antonio | Wyatt | DT | Fr | 6’3” | 330 | Lorain, Ohio / Lorain HS |
10 | Delan | Wynn | CB | Jr | 5’9” | 152 | Farmington Hills- Mich. / Southfield HS |
42 | Tyan | Young | LB | Jr | 6’1” | 186 | Indianapolis, Ind. / – |
71 | Matt | Zolkin | OL | R-So. | 6’7” | 296 | Columbus, OH / Olentangy Orange HS |