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Complete the table to find the deviation of each data point.(2 points)

Mean 9.25
Data Point 7 9 9.5 12
Deviation ? ? ? ?

1 answer

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.