These are the scores for two randomly selected lacrosse teams. Find the range of the number of goals scored by each team. Based on the range, which team has a more consistent number of goals scored?
Lacrosse Team 1: 6 0 4 17 3 12
Lacrosse Team 2: 23 14 22 14 17 22(2 points)
The range of the number of goals scored by Lacrosse Team 1 is
. The range of the number of goals scored by Lacrosse Team 2 is
. Based on the range, Lacrosse Team
has a more consistent number of goals scored.
The range of the number of goals scored by Lacrosse Team 1 is 17-0=17. The range of the number of goals scored by Lacrosse Team 2 is 23-14=9. Based on the range, Lacrosse Team 2 has a more consistent number of goals scored.
Fifteen students are randomly selected from two different classes. They were asked how many books they read during the summer. Their responses are as follows. Find the median number of books read by each class. Which class has a higher median number of books read?
Class 1: 0, 5, 3, 6, 7, 8, 10, 1, 1, 4, 5, 6, 4, 5, 6
Class 2: 2, 2, 4, 3, 0, 0, 6, 7, 10, 9, 6, 5, 3, 1, 2
(2 points)
The median number of books read during the summer by Class 1 is
.
The median number of books read during the summer by Class 2 is
.
Class
has a higher median number of books read during the summer.
To find the range of the number of goals scored by each team, you need to find the difference between the highest and lowest scores for each team.
For Lacrosse Team 1, the highest score is 17 and the lowest score is 0. So, the range for Team 1 is 17 - 0 = 17.
For Lacrosse Team 2, the highest score is 23 and the lowest score is 14. So, the range for Team 2 is 23 - 14 = 9.
Based on the range, we can say that Lacrosse Team 1 has a more consistent number of goals scored because its range is larger. A smaller range indicates less variation, while a larger range indicates more variation.
For Class 1, we need to find the middle value. We first need to put the numbers in order: 0, 1, 1, 3, 4, 4, 5, 5, 5, 6, 6, 7, 8, 10. The middle value is the 7th value, which is 5. Therefore, the median number of books read by Class 1 is 5.
For Class 2, we also need to find the middle value. We first need to put the numbers in order: 0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 9, 10. The middle value is the 8th value, which is 3. Therefore, the median number of books read by Class 2 is 3.
Class 1 has a higher median number of books read, which is 5.