To find the mean absolute deviation, we first need to find the mean of the dataset. Calculating the mean:
(8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2) / 7 = 9.22857142857
Next, we subtract the mean from each data point, take the absolute value, and calculate the mean of those absolute values:
|8.4 - 9.22857142857| = 0.82857142857
|9.4 - 9.22857142857| = 0.17142857143
|14.2 - 9.22857142857| = 4.97142857143
|5.6 - 9.22857142857| = 3.62857142857
|8.3 - 9.22857142857| = 0.92857142857
|9.0 - 9.22857142857| = 0.22857142857
|10.2 - 9.22857142857| = 0.97142857143
(0.82857142857 + 0.17142857143 + 4.97142857143 + 3.62857142857 + 0.92857142857 + 0.22857142857 + 0.97142857143) / 7 = 1.8387755102
Rounded to the nearest tenth, the mean absolute deviation of the dataset is 1.8. Answer: \boxed{1.8}.
Find the mean absolute deviation of the following dataset: 8.4, 9.4, 14.2, 5.6, 8.3, 9.0, 10.2. Round the answer to the nearest tenth.(1 point)
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