Find the main absolute deviation of the following data say 8.4 9.4 14.2 5.6 8.3 9.0 10.2 round the answer to the nearest 10th

Answer 1

To find the main absolute deviation, first, calculate the mean of the data set:

(8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2) / 7 = 9.3

Next, find the absolute deviation of each number from the mean:

|8.4 - 9.3| = 0.9
|9.4 - 9.3| = 0.1
|14.2 - 9.3| = 4.9
|5.6 - 9.3| = 3.7
|8.3 - 9.3| = 1.0
|9.0 - 9.3| = 0.3
|10.2 - 9.3| = 0.9

Then, find the mean absolute deviation by averaging these absolute deviations:

(0.9 + 0.1 + 4.9 + 3.7 + 1.0 + 0.3 + 0.9) / 7 ≈ 1.97

The main absolute deviation is approximately 2.0 (rounded to the nearest 10th).

Answer 2

Find the main absolute deviation of the following data say 8.4 9.4 14.2 5.6 8.3 9.0 10.2 round the answer to the nearest 10th

11.8
1.7
9.3
7.0

Answer 3

To find the mean absolute deviation (MAD), first calculate the mean of the data set:

(8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2) / 7 = 9.3

Next, find the absolute deviation of each number from the mean:

|8.4 - 9.3| = 0.9
|9.4 - 9.3| = 0.1
|14.2 - 9.3| = 4.9
|5.6 - 9.3| = 3.7
|8.3 - 9.3| = 1.0
|9.0 - 9.3| = 0.3
|10.2 - 9.3| = 0.9

Then, find the mean of these absolute deviations:

(0.9 + 0.1 + 4.9 + 3.7 + 1.0 + 0.3 + 0.9) / 7 ≈ 1.7

Therefore, the main absolute deviation of the given data set is approximately 1.7, rounded to the nearest tenth.