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:
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For the data point 7: \[ \text{Deviation} = 7 - 9.25 = -2.25 \]
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For the data point 9: \[ \text{Deviation} = 9 - 9.25 = -0.25 \]
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For the data point 9.5: \[ \text{Deviation} = 9.5 - 9.25 = 0.25 \]
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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.