To calculate the average deviation from the mean for the dataset {7, 9, 10, 11, 11}, we can follow these steps:
-
Calculate the Mean: \[ \text{Mean} = \frac{(7 + 9 + 10 + 11 + 11)}{5} = \frac{48}{5} = 9.6 \]
-
Calculate the Deviation from the Mean for Each Value:
- For 7: \( |7 - 9.6| = 2.6 \)
- For 9: \( |9 - 9.6| = 0.6 \)
- For 10: \( |10 - 9.6| = 0.4 \)
- For 11: \( |11 - 9.6| = 1.4 \)
- For 11: \( |11 - 9.6| = 1.4 \)
-
Calculate the Average Deviation: Now, we take the average of the absolute deviations: \[ \text{Average Deviation} = \frac{(2.6 + 0.6 + 0.4 + 1.4 + 1.4)}{5} = \frac{6.4}{5} = 1.28 \]
Therefore, the average deviation from the mean is 1.28.
The correct response is: The average deviation from the mean is 1.28.