What is the sum of the absolute deviations in the following dataset: 68, 51, 75, 78, 94, 35? The mean is 66.8.(1 point)

Responses

59
59

95.4
95.4

15.9
15.9

401

1 answer

Correct response: 95.4
Explanation: To find the absolute deviation for each number in the dataset, we subtract the mean (66.8) from each number and take the absolute value of the result.

|68 - 66.8| = 1.2

|51 - 66.8| = 15.8

|75 - 66.8| = 8.2

|78 - 66.8| = 11.2

|94 - 66.8| = 27.2

|35 - 66.8| = 31.8

Then we add up all the absolute deviations:

1.2 + 15.8 + 8.2 + 11.2 + 27.2 + 31.8 = 95.4

Therefore, the sum of the absolute deviations is 95.4.