Question

A horizontal number line with arrows at both ends is titled at the top as Soccer Team A. Below the line is the title, Number of Goals per Game. The line is numbered 0 to 5 in increments of 1 and has a total of 10 closed points plotted.
A soccer team tracks the number of goals they score in a game on the dot plot. Complete the table to record the deviation of each data point.

(2 points)
Data Point 1 2 3 4 5
Deviation

Answer 1

To find the deviation of each data point, we first need to calculate the mean (average) of the data set. Then, the deviation for each data point is calculated by subtracting the mean from each data point.

Let's assume you have the data points plotted on the number line. For example, let's say the data points are:

2, 3, 3, 4, 5, 2, 1, 0, 4, 2.

1. First, calculate the mean:
- Mean = (Sum of all data points) / (Number of data points)
- Mean = (2 + 3 + 3 + 4 + 5 + 2 + 1 + 0 + 4 + 2) / 10
- Mean = 26 / 10 = 2.6

2. Next, calculate the deviation for each data point:
- Deviation = Data Point - Mean

Now we calculate the deviation for each data point:

- For the data points:
- Data Point 1 (2): 2 - 2.6 = -0.6
- Data Point 2 (3): 3 - 2.6 = 0.4
- Data Point 3 (3): 3 - 2.6 = 0.4
- Data Point 4 (4): 4 - 2.6 = 1.4
- Data Point 5 (5): 5 - 2.6 = 2.4
- Data Point 6 (2): 2 - 2.6 = -0.6
- Data Point 7 (1): 1 - 2.6 = -1.6
- Data Point 8 (0): 0 - 2.6 = -2.6
- Data Point 9 (4): 4 - 2.6 = 1.4
- Data Point 10 (2): 2 - 2.6 = -0.6

3. Fill out the table with the calculated deviations:

| Data Point | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|------------|-----|-----|-----|-----|-----|----|----|----|----|----|
| Deviation | -0.6| 0.4 | 0.4 | 1.4 | 2.4 | -0.6| -1.6| -2.6| 1.4 | -0.6|

If you provide the actual data points or their distribution, I can calculate the specific deviations.