Question

0 0 2 6 2 0
0 1 2 3 4 5
Which of the following correctly calculates the average deviation from the mean number of goals per game scored by soccer team B? (1 point) Responses The average deviation from the mean is 0.2. The average deviation from the mean is 0.2. The average deviation from the mean is 2.5. The average deviation from the mean is 2.5. The average deviation from the mean is 0.4. The average deviation from the mean is 0.4. The average deviation from the mean is 0.67.

Answer 1

To calculate the average deviation from the mean for soccer team B, we will first need to find the mean (average) of the goals scored and then calculate the average deviation from that mean.

Here is the data for soccer team B:

Goals per game: 0, 1, 2, 3, 4, 5

1. **Calculate the mean:**
\[
\text{Mean} = \frac{\text{Sum of goals}}{\text{Number of games}} = \frac{0 + 1 + 2 + 3 + 4 + 5}{6} = \frac{15}{6} = 2.5
\]

2. **Calculate the absolute deviations from the mean:**
- Deviation for 0: |0 - 2.5| = 2.5
- Deviation for 1: |1 - 2.5| = 1.5
- Deviation for 2: |2 - 2.5| = 0.5
- Deviation for 3: |3 - 2.5| = 0.5
- Deviation for 4: |4 - 2.5| = 1.5
- Deviation for 5: |5 - 2.5| = 2.5

3. **Sum of absolute deviations:**
\[
\text{Sum of deviations} = 2.5 + 1.5 + 0.5 + 0.5 + 1.5 + 2.5 = 9
\]

4. **Calculate the average deviation:**
\[
\text{Average Deviation} = \frac{\text{Sum of deviations}}{\text{Number of games}} = \frac{9}{6} = 1.5
\]

None of the options provided (0.2, 2.5, 0.4, and 0.67) match the calculated average deviation of 1.5. Please verify the goals data or the calculation method used to find the deviations.

If you made an error in the goal scores for team B, please provide the correct data for accurate calculations.