Question

What is the mean absolute deviation of the following dataset: 4.8, 5.9, 6.2, 10.8, 1.2,
6.4? Round the answer to the nearest tenth. (1 point)

Answer 1

To calculate the mean absolute deviation, first find the mean of the dataset:

Mean = (4.8 + 5.9 + 6.2 + 10.8 + 1.2 + 6.4) / 6
Mean = 5.5

Next, find the absolute deviations of each data point from the mean:

|4.8 - 5.5| = 0.7
|5.9 - 5.5| = 0.4
|6.2 - 5.5| = 0.7
|10.8 - 5.5| = 5.3
|1.2 - 5.5| = 4.3
|6.4 - 5.5| = 0.9

Now, find the mean of these absolute deviations:

(0.7 + 0.4 + 0.7 + 5.3 + 4.3 + 0.9) / 6
11.3 / 6 = 1.9

Therefore, the mean absolute deviation of the dataset is 1.9 (rounded to the nearest tenth).