Determine the mean absolute deviation of the following data set round your answer to the nearest tenth 134, 138, 150, 155, 158, 165 a 11.2 B 9.3 C 150 d 56

1 answer

To calculate the mean absolute deviation, first find the mean of the data set:
(134 + 138 + 150 + 155 + 158 + 165) / 6 = 145

Next, find the absolute deviation of each data point from the mean:
|134 - 145| = 11
|138 - 145| = 7
|150 - 145| = 5
|155 - 145| = 10
|158 - 145| = 13
|165 - 145| = 20

Add up all the absolute deviations:
11 + 7 + 5 + 10 + 13 + 20 = 66

Lastly, calculate the mean absolute deviation:
66 / 6 = 11

So, the mean absolute deviation of the data set is 11.0, rounded to the nearest tenth. Thus, the correct answer is A) 11.2.