To calculate the average deviation from the mean number of goals per game scored by Soccer Team B, we can follow these steps:
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Calculate the mean number of goals per game. To calculate the mean, we need the total number of goals scored and the total number of games played.
From the data given:
- Number of goals = 0 * 1 + 1 * 0 + 2 * 2 + 3 * 6 + 4 * 2 + 5 * 0
- Total goals = (0) + (0) + (4) + (18) + (8) + (0) = 30
- Total games = 0 + 0 + 2 + 6 + 2 + 0 = 10
Mean (μ) = Total Goals / Total Games = 30 / 10 = 3.0
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Calculate the absolute deviations from the mean:
- For 0 goals: |0 - 3| = 3
- For 1 goal: |1 - 3| = 2
- For 2 goals: |2 - 3| = 1 (occurs 2 times) → 1 + 1 = 2
- For 3 goals: |3 - 3| = 0 (occurs 6 times) → 0 + 0 + 0 + 0 + 0 + 0 = 0
- For 4 goals: |4 - 3| = 1 (occurs 2 times) → 1 + 1 = 2
- For 5 goals: |5 - 3| = 2
Total absolute deviations = 3 + 2 + 2 + 0 + 2 + 2 = 11
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Calculate the average deviation: Average Deviation = Total Absolute Deviations / Total Number of Games = 11 / 10 = 1.1
Since we need to find the average deviation from the mean, we can now compare the given responses. However, none of the provided options match our calculation of 1.1.
To address the average deviations from the mean goals (which is closer to the mean) accurately seems not to align with the values listed in the choices given. The calculations reveal discrepancies.
It appears there is a misunderstanding or misalignment between options given and calculated. Please verify the options or comparison of deviations based on clarified data or scanning through the established choices.
Ultimately, based on Newton's method of deviation, typically, check for rounding off or adherence in numerical methodology. If a raw average deviation becomes closer to certain assessments, aligning captured factors leads to the actual response or further options.
In conclusion, feel free to accept or refine based on recounted data, or corrections on insight or observations to derive accuracy.