team 1: 6 0 4 17 3 2. Tam 2: 23 14 22 14 17 22 find that range and which team has a more consistent number of goals

Answer 1

To find the range of goals for each team, we find the difference between the highest and lowest number of goals scored.

Team 1: 17 (highest) - 0 (lowest) = 17
Team 2: 23 (highest) - 14 (lowest) = 9

Therefore, the range of goals for Team 1 is 17 and the range of goals for Team 2 is 9.

To determine which team has a more consistent number of goals, we can calculate the standard deviation for each team's goals. A lower standard deviation indicates that the numbers are more consistent.

Team 1:
Mean = (6 + 0 + 4 + 17 + 3 + 2) / 6 = 32 / 6 = 5.33
Standard Deviation = sqrt[((6-5.33)^2 + (0-5.33)^2 + (4-5.33)^2 + (17-5.33)^2 + (3-5.33)^2 + (2-5.33)^2) / 6]
Standard Deviation = sqrt[(0.250 + 28.444 + 2.722 + 131.222 + 7.111 + 10.554) / 6]
Standard Deviation = sqrt[180.303 / 6] = sqrt(30.05) ≈ 5.48

Team 2:
Mean = (23 + 14 + 22 + 14 + 17 + 22) / 6 = 112 / 6 = 18.67
Standard Deviation = sqrt[((23-18.67)^2 + (14-18.67)^2 + (22-18.67)^2 + (14-18.67)^2 + (17-18.67)^2 + (22-18.67)^2) / 6]
Standard Deviation = sqrt[(19.11 + 19.11 + 11.57 + 19.11 + 2.70 + 19.11) / 6]
Standard Deviation = sqrt[90.71 / 6] = sqrt(15.12) ≈ 3.89

The standard deviation for Team 1 is approximately 5.48, while the standard deviation for Team 2 is approximately 3.89. Therefore, Team 2 has a more consistent number of goals.