Question

The mean is 9.25.

Data Point: 7, 9, 9.5, 12.
Deviation: ?, ?, ?, ?.

Find the answer to the data points

Answer 1

Correct, except they’re all positive numbers. The first two aren’t negative.

Answer 2

To find the deviations of the data points from the mean, we subtract the mean from each data point.

Given:
- Mean = 9.25
- Data Points: 7, 9, 9.5, 12

Now we calculate the deviations:

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:
\[
\text{Deviation} = 12 - 9.25 = 2.75
\]

Thus, the deviations for the data points are:

- Deviation for 7: -2.25
- Deviation for 9: -0.25
- Deviation for 9.5: 0.25
- Deviation for 12: 2.75

So the final answer for the deviations is:
-2.25, -0.25, 0.25, 2.75.