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, subtract the mean (9.25) from each data point.

The formula for deviation is:

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

Now, let's calculate the deviation 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 as follows:

| Mean | 9.25 |
|-------|-------|
| Data Point | 7 | 9 | 9.5 | 12 |
| Deviation | -2.25 | -0.25 | 0.25 | 2.75 |

So the deviations are -2.25, -0.25, 0.25, and 2.75 respectively.