Question

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

Answer 1

To find the sum of the absolute deviations, we first need to calculate the absolute deviation of each data point from the mean:

68: |68 - 66.8| = 1.2
51: |51 - 66.8| = 15.8
75: |75 - 66.8| = 8.2
78: |78 - 66.8| = 11.2
94: |94 - 66.8| = 27.2
35: |35 - 66.8| = 31.8

Now, 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 in the dataset is 95.4.