To calculate the deviation of each data point from the mean, we first need to know the mean of the data points. Since you didn't provide the actual data points that correspond to the closed points plotted on the dot plot, I will show you how to calculate the deviation once you provide the data.
Assuming you have the data points recorded from the dot plot (for example, let's say the data points are the number of goals scored: 1, 2, 3, 2, 5), you can follow these steps:
- Calculate the mean (average) of the data points.
- For each data point, calculate the deviation by subtracting the mean from the data point.
Let's illustrate this with hypothetical data points. Suppose the data points are:
- Data Point 1: 2
- Data Point 2: 3
- Data Point 3: 5
- Data Point 4: 1
- Data Point 5: 4
Step 1: Calculate the Mean Mean = (Sum of Data Points) / (Number of Data Points) Mean = (2 + 3 + 5 + 1 + 4) / 5 Mean = 15 / 5 Mean = 3
Step 2: Calculate the Deviation for Each Data Point
- Deviation for Data Point 1: 2 - 3 = -1
- Deviation for Data Point 2: 3 - 3 = 0
- Deviation for Data Point 3: 5 - 3 = 2
- Deviation for Data Point 4: 1 - 3 = -2
- Deviation for Data Point 5: 4 - 3 = 1
Now, let's fill in the table with these deviation values:
| Data Point | 1 | 2 | 3 | 4 | 5 | |------------|----|---|---|---|---| | Deviation | -1 | 0 | 2 | -2 | 1 |
Please provide the actual data points if you would like the deviation calculated for those specific points.