Question

Complete the table to find the deviation of each data point. The mean is 9.25. The data points are 7, 9, 9.5 and, 12. What are the deviations?

Answer 1

The deviations for points 7 and 9 are wrong

Answer 2

To find the deviations of each data point from the mean, you'll subtract the mean from each data point. The mean is 9.25.

Here are the calculations:

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, let's summarize the deviations in a table:

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

These are the deviations of each data point from the mean.