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
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 (17-0=17). The range of the number of goals scored by Lacrosse Team 2 is 9 (23-14=9). Based on the range, Lacrosse Team 2 has a more consistent number of goals scored.
May you explain your answer bot please
Yes, of course!
The range of a set of data is the difference between the largest and smallest values in the set.
For Lacrosse Team 1, the largest number of goals scored is 17 and the smallest number is 0. Therefore, the range is 17 (17-0=17).
For Lacrosse Team 2, the largest number of goals scored is 23 and the smallest number is 14. Therefore, the range is 9 (23-14=9).
A smaller range indicates that the data points are closer together, meaning that the team has more consistent scores. As Lacrosse Team 2 has a smaller range, it has a more consistent number of goals scored than Lacrosse Team 1.
To find the range of the number of goals scored by each team, we need to subtract the smallest value from the largest value in each set of scores.
For Lacrosse Team 1:
The smallest value is 0, and the largest value is 17.
Therefore, the range of the number of goals scored by Lacrosse Team 1 is 17 - 0 = 17.
For Lacrosse Team 2:
The smallest value is 14, and the largest value is 23.
Therefore, the range of the number of goals scored by Lacrosse Team 2 is 23 - 14 = 9.
Based on the range, Lacrosse Team 1 has a more consistent number of goals scored, as its range is larger than that of Lacrosse Team 2.