Answer:
Increasing the hours practiced by the quarterback will affect the mean and median.
Step-by-step Explanation:
The mean is the average of all the hours practiced, and the median is the middle value when the hours are arranged in ascending order. By adding the extra hours practiced by the quarterback, the mean will increase slightly, while the median will remain the same.
If we increase the hours practiced by the quarterback, it will affect both the mean and median. Currently, the mean hours practiced is 15 hours. To find the new mean, we need to calculate the total hours practiced by all players. Since there are 37 players and the quarterback practiced 23 hours this week, the total hours practiced by all players is 555 hours. If we add the extra 3 hours practiced by the quarterback, the new total becomes 558 hours. To find the new mean, we divide the new total by the number of players, which is still 37. So the new mean is approximately 15.08 hours. As for the median, we need to arrange the hours practiced in ascending order. Currently, the quarterback practiced the most hours at 20, so the median is the 19th player's hours practiced. Since the quarterback practiced an extra 3 hours, the 19th player's hours will still be 20. Therefore, the median remains the same at 20 hours. So, increasing the hours practiced by the quarterback affects the mean, which increases from 15 to approximately 15.08 hours, but does not affect the median, which remains at 20 hours.
Answer:
Increasing the hours practiced by the quarterback will increase the mean but will not affect the median.
I hope this helped answer your question.
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Step-by-step explanation:
Increasing the hours practiced by the quarterback will affect both the mean and median in different ways.
1. Mean: The mean is calculated by finding the sum of all the values and dividing it by the number of values. In this case, the mean is initially 15 hours. When the quarterback practices for an additional 3 hours, the new total practice hours for the team would be 15 + 3 = 18 hours. Since the total number of players remains the same at 37, the new mean would be 18 / 37 ≈ 0.4865 hours. Therefore, increasing the hours practiced by the quarterback will increase the mean.
2. Median: The median is the middle value when the data is arranged in ascending or descending order. Since the quarterback practices the most hours at 20, the median is initially 20. When the quarterback practices for an additional 3 hours, the new total practice hours for the team would be 15 + 3 = 18 hours. Since the number of players is odd (37), the new median would still be 20, as the additional hours of practice by the quarterback do not affect the middle value. Therefore, increasing the hours practiced by the quarterback does not affect the median.
In summary, increasing the hours practiced by the quarterback will increase the mean but will not affect the median.
