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)
Answers
GPT 3.5
The absolute deviations from the mean for each data point are:
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
Adding all these absolute deviations together:
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
Adding all these absolute deviations together:
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.