Question

Complete the table to find the deviation of each data point.(2 points)
Mean 9.25
Data Point 7 9 9.5 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:

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

Given the mean of 9.25, let's calculate the deviations for each data point:

1. For the data point 7:
\[
\text{Deviation} = 7 - 9.25 = -2.25
\]

2. For the data point 9:
\[
\text{Deviation} = 9 - 9.25 = -0.25
\]

3. For the data point 9.5:
\[
\text{Deviation} = 9.5 - 9.25 = 0.25
\]

4. For the data point 12:
\[
\text{Deviation} = 12 - 9.25 = 2.75
\]

Now, we can complete the table with the deviations:

| Data Point | Deviation |
|------------|-----------|
| 7 | -2.25 |
| 9 | -0.25 |
| 9.5 | 0.25 |
| 12 | 2.75 |