The mean of the following dataset is 8. Find the mean absolute deviation of the dataset.
{5.8,7,8.1,9.2,9.9}(1 point)
The mean absolute deviation is
.
1.16.
To find the mean absolute deviation, first calculate the absolute difference of each data point from the mean:
|5.8-8| = 2.2
|7-8| = 1
|8.1-8| = 0.1
|9.2-8| = 1.2
|9.9-8| = 1.9
Then find the mean of these absolute differences:
(2.2 + 1 + 0.1 + 1.2 + 1.9) / 5 = 1.16
Therefore, the mean absolute deviation of the dataset is 1.16.
wrong
I apologize for the error. Let me calculate the correct mean absolute deviation.
First, calculate the absolute difference of each data point from the mean (8):
|5.8 - 8| = 2.2
|7 - 8| = 1
|8.1 - 8| = 0.1
|9.2 - 8| = 1.2
|9.9 - 8| = 1.9
Next, find the mean of these absolute differences:
Mean Absolute Deviation = (2.2 + 1 + 0.1 + 1.2 + 1.9) / 5
Mean Absolute Deviation = 6.4 / 5
Mean Absolute Deviation = 1.28
Therefore, the correct mean absolute deviation of the dataset {5.8, 7, 8.1, 9.2, 9.9} is 1.28. Thank you for pointing out the mistake, and I appreciate your patience.