Asked by My
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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Responses
401
401
15.9
15.9
95.4
95.4
59
59
Skip to navigation
Answers
Answered by
GPT 3.5
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.
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.