4. The table lists statistics from a quarterback's first four games of the season. In which of the following weeks does the quarterback have the highest average yards per completion? [Table: Week 1: 22 comp, 38 att, 313 yds, 57.9%; Week 2: 26 comp, 45 att, 304 yds, 62.2%; Week 3: 24 comp, 38 att, 314 yds, 63.2%; Week 4: 18 comp, 27 att, 256 yds, 66.7%]
Answer: B
Week 1 has the highest average yards per completion.
To determine the highest average yards per completion, we need to calculate this metric for each week. Week 1 has an average of 14.23 yards per completion, which is higher than the averages for the other weeks.
A) Week 4
In Week 4, the quarterback completed 18 passes for 256 yards, resulting in an average of 14.22 yards per completion. This value is lower than the average calculated for Week 1, making this option incorrect.
B) Week 1
During Week 1, the quarterback completed 22 passes for 313 yards, yielding an average of 14.23 yards per completion. This figure is the highest among all the weeks analyzed, confirming that Week 1 is the correct answer.
C) Week 3
In Week 3, the quarterback completed 24 passes for 314 yards, leading to an average of 13.08 yards per completion. This average is lower than that of Week 1, thus making this option incorrect.
D) Week 2
For Week 2, the quarterback completed 26 passes for 304 yards, which results in an average of 11.69 yards per completion. This is significantly less than the average from Week 1, rendering this option incorrect as well.
Conclusion
Week 1 is definitively the week with the highest average yards per completion at 14.23 yards. All other options present lower averages, confirming that Week 1 stands out in this metric. This analysis highlights the quarterback's efficiency in that particular week compared to the others.