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)%0D%0AResponses%0D%0A%0D%0A7.0%0D%0A7.0%0D%0A%0D%0A1.7%0D%0A1.7%0D%0A%0D%0A11.8%0D%0A11.8%0D%0A%0D%0A9.3
To find the mean absolute deviation, we first need to find the mean of the dataset:
(8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2) / 7 = 9.0
Next, we find the absolute deviations from the mean for each data point:
|8.4 - 9.0| = 0.6
|9.4 - 9.0| = 0.4
|14.2 - 9.0| = 5.2
|5.6 - 9.0| = 3.4
|8.3 - 9.0| = 0.7
|9.0 - 9.0| = 0
|10.2 - 9.0| = 1.2
Now, we find the mean of these absolute deviations:
(0.6 + 0.4 + 5.2 + 3.4 + 0.7 + 0 + 1.2) / 7 = 1.764
Rounded to the nearest tenth, the mean absolute deviation is 1.8.