Team 1: 6 0 4 17 3 12. Team 2: 23 14 22 14 17 22 find the range team and which team has more consistent number of goals
The range for Team 1 is 17 (highest - lowest = 17 - 0 = 17).
The range for Team 2 is 9 (highest - lowest = 23 - 14 = 9).
Therefore, Team 1 has a higher range of goals.
To determine which team has a more consistent number of goals, we can calculate the standard deviation for each team's goal totals. The team with the lower standard deviation is considered to have a more consistent number of goals.
Team 1:
Mean: (6 + 0 + 4 + 17 + 3 + 12)/6 = 7
Standard deviation: sqrt(( (6-7)^2 + (0-7)^2 + (4-7)^2 + (17-7)^2 + (3-7)^2 + (12-7)^2 )/6)
= sqrt((1 + 49 + 9 + 100 + 16 + 25)/6)
= sqrt(200/6)
≈ 5.37
Team 2:
Mean: (23 + 14 + 22 + 14 + 17 + 22)/6 = 18
Standard deviation: sqrt(( (23-18)^2 + (14-18)^2 + (22-18)^2 + (14-18)^2 + (17-18)^2 + (22-18)^2 )/6)
= sqrt((25 + 16 + 16 + 16 + 1 + 16)/6)
= sqrt(90/6)
≈ 2.45
Based on the standard deviations calculated above, Team 2 has a lower standard deviation, indicating that Team 2 has a more consistent number of goals.