The numerical values in this problem have been modified for testing purposes. Su
ID: 3159145 • Letter: T
Question
The numerical values in this problem have been modified for testing purposes. Suppose the roster of a certain NFL football team included 8 defensive linemen and 9 offensive linemen. The weights in pounds of the defensive linemen were 278 323 304 284 298 284 321 345 and the weights of the offensive linemen were 318 307 306 317 319 329 299 307 346 Find (±0.01) the five-number summary.
Min Q1 Med Q3 Max
Defensive line
Offensive line
Which group of players tends to be heavier? Offensive line players tends to be heavier Defensive line players tends to be heavier
Explanation / Answer
Solution:
The five number summaries for defensive players is summarised as below:
Five-Number Summary for defensive
Minimum
278
First Quartile
284
Median
301
Third Quartile
323
Maximum
345
The five number summaries for offensive players is summarised as below:
Five number summary for offensive
Five-Number Summary
Minimum
299
First Quartile
306.5
Median
317
Third Quartile
324
Maximum
346
From the above two summaries it is observed that the median weight for offensive players is more than the median weight for defensive players. So, the group of offensive players is heavier.
Five-Number Summary for defensive
Minimum
278
First Quartile
284
Median
301
Third Quartile
323
Maximum
345