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 )

1 answer

To find the sum of the absolute deviations, we need to first calculate the absolute deviation of each data point from the mean, and then sum them up.

Absolute deviations:
|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

Sum of absolute deviations = 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.