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
401
401
15.9
15.9
95.4
95.4
59
59
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The absolute deviations from the mean (66.8) for each number in the dataset are as follows:
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
Summing up these 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.