Question

Complete the table to find the deviation of each data point.(2 points)
Mean 9.25
Data Point 7 9 9 12
Deviation

Answer 1

To find the deviation of each data point from the mean, you subtract the mean from each data point. The formula for deviation is:

\[ \text{Deviation} = \text{Data Point} - \text{Mean} \]

Using the mean of 9.25, we calculate the deviation for each data point:

1. **Data Point 7**:
\[ \text{Deviation} = 7 - 9.25 = -2.25 \]

2. **Data Point 9**:
\[ \text{Deviation} = 9 - 9.25 = -0.25 \]

3. **Data Point 9**:
\[ \text{Deviation} = 9 - 9.25 = -0.25 \]

4. **Data Point 12**:
\[ \text{Deviation} = 12 - 9.25 = 2.75 \]

Now, let's fill in the table for the deviations:

| Data Point | Deviation |
|------------|------------|
| 7 | -2.25 |
| 9 | -0.25 |
| 9 | -0.25 |
| 12 | 2.75 |

So, the deviations of each data point from the mean are as shown in the table.