First, we need to find the mean of the dataset:
(8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2) / 7 = 9.2
Next, we need to find the absolute deviation of each data point from the mean:
|8.4 - 9.2| = 0.8
|9.4 - 9.2| = 0.2
|14.2 - 9.2| = 5.0
|5.6 - 9.2| = 3.6
|8.3 - 9.2| = 0.9
|9.0 - 9.2| = 0.2
|10.2 - 9.2| = 1.0
Now, we find the mean of these absolute deviations:
(0.8 + 0.2 + 5.0 + 3.6 + 0.9 + 0.2 + 1.0) / 7 = 1.9
The mean absolute deviation is 1.9. Rounded to the nearest tenth, the answer is 1.9.
Therefore, the correct answer is a) 1.7.
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.
a 1.7
b 9.3
c 11.8
d 7.0
1 answer