Question

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

15.9
15.9

401
401

95.4

Answer 1

The sum of the absolute deviations in the dataset can be calculated by finding the absolute value of the difference between each data point and the mean, and then summing these absolute values.

The absolute deviations for each data point are:

|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

Summing these absolute deviations, we get:

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

Therefore, the sum of the absolute deviations in the dataset is 95.4.