Question

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)
Responses

7.0
7.0

9.3
9.3

11.8
11.8

1.7

Answer 1

THAT IS LITTERLY NOT EVEN A OPTION

Answer 2

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

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

Next, calculate the absolute deviation for each data point from the mean:

|8.4 - 9.4| = 1.0
|9.4 - 9.4| = 0
|14.2 - 9.4| = 4.8
|5.6 - 9.4| = 3.8
|8.3 - 9.4| = 1.1
|9.0 - 9.4| = 0.4
|10.2 - 9.4| = 0.8

Add up all the absolute deviations and divide by the number of data points (7) to find the mean absolute deviation:

(1.0 + 0 + 4.8 + 3.8 + 1.1 + 0.4 + 0.8)/7 = 2.3

Therefore, the mean absolute deviation of the dataset is 2.3. Rounding to the nearest tenth, the answer is 2.3.

Answer 3

Apologies for the oversight. Let's try calculating the mean absolute deviation again:

Mean = (8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2) / 7
Mean = 65.1 / 7
Mean = 9.3

Next, calculate the absolute deviation for each data point 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

Add up all the absolute deviations and divide by the number of data points (7) to find the mean absolute deviation:

(0.9 + 0.1 + 4.9 + 3.7 + 1.0 + 0.3 + 0.9) / 7
11.8 / 7
1.69 (rounded to the nearest tenth)

Therefore, the mean absolute deviation of the dataset is 1.7.