In: Statistics and Probability
Super Quarterbacks
On February 7, 2010, Drew Brees and Peyton Manning quarterbacked
their respective teams in the Super Bowl. Manning was the Most
Valuable Player of the regular season, with Brees coming in second
place, but Brees was named MVP of the Super Bowl as his New Orleans
Saints beat Manning's Indianapolis Colts. The following data are
the number of passing yards for each player during the 2009 regular
season that led up to that Super Bowl:
Week | Brees | Manning |
1 | 258 | 301 |
2 | 311 | 303 |
3 | 172 | 379 |
4 | 190 | 353 |
5 | * | 309 |
6 | 369 | * |
7 | 298 | 235 |
8 | 308 | 347 |
9 | 330 | 318 |
10 | 223 | 327 |
11 | 187 | 299 |
12 | 371 | 244 |
13 | 419 | 270 |
14 | 296 | 220 |
15 | 298 | 192 |
16 | 258 | 192 |
17 | * | 95 |
a. Determine the five-number summary of passing yards for each quarterback.
Drew Brees | |
Minimum | |
Lower Quartile | |
Median | |
Upper Quartile | |
Maximum |
Peyton Manning | |
Minimum | |
Lower Quartile | |
Median | |
Upper Quartile | |
Maximum |
c. For each quarterback, determine how many (or how few) yards they would need in a game for the game to qualify as an outlier for that quarterback.
For Drew Brees, outliers would be outside the range .
For Peyton Manning, outliers would be outside the range .
A)
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