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The mean is 9.25.

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

Find the answer to the data points

2 answers

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.

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