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

15.9
15.9

95.4
95.4

59
59

401
401

Answer 1

Sum |xi - 66.8|: |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.
Total = 1.2+15.8+8.2+11.2+27.2+31.8 = 95.4.