To calculate the average deviation from the mean for the dataset {7, 9, 10, 11, 11}, we first need to find the mean, then calculate the deviations from the mean, take the absolute value of those deviations, and finally compute the average of those absolute deviations.
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Calculate the mean: \[ \text{Mean} = \frac{7 + 9 + 10 + 11 + 11}{5} = \frac{48}{5} = 9.6 \]
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Calculate the deviations from the mean: \[ |7 - 9.6| = 2.6 \] \[ |9 - 9.6| = 0.6 \] \[ |10 - 9.6| = 0.4 \] \[ |11 - 9.6| = 1.4 \] \[ |11 - 9.6| = 1.4 \]
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Create the list of absolute deviations: The absolute deviations are {2.6, 0.6, 0.4, 1.4, 1.4}.
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Calculate the average of the absolute deviations: \[ \text{Average Deviation} = \frac{2.6 + 0.6 + 0.4 + 1.4 + 1.4}{5} = \frac{6.4}{5} = 1.28 \]
So, the average deviation from the mean is 1.28.
The correct response is: The average deviation from the mean is 1.28.