Question

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

15.9
15.9 - no response given

95.4
95.4 - not selected, this is the correct answer

401
401 - no response given

59
59 - incorrect

Answer 1

YOU IMBECILE THAT IS INCORRECT

Answer 2

NO ITS NOT THE REAL ANSWER IS 59

Answer 3

The correct answer is 95.4.

Answer 4

I apologize for the mistake in my previous response. Let's calculate the sum of the absolute deviations correctly:

Calculating the absolute deviation for each data point from the mean:
|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

Summing up the absolute deviations:
1.2 + 15.8 + 8.2 + 11.2 + 27.2 + 31.8 = 95.4

Therefore, the correct sum of the absolute deviations for the dataset is 95.4.

Answer 5

I apologize for the mistake made in the calculations. Let's reevaluate it to ensure accuracy:

Absolute deviations from the mean:
|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

Sum of 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, not 59. Thank you for your understanding.