The weights and pounds of Mike’s five pet dogs are listed below. What is the main absolute deviation of the weights?

Question

16
23
27
41
53

Answer 1

To find the mean absolute deviation of the weights, first calculate the mean weight of the dogs:

(16 + 23 + 27 + 41 + 53) / 5 = 32

Now, calculate the absolute deviations of each weight from the mean:

|16 - 32| = 16
|23 - 32| = 9
|27 - 32| = 5
|41 - 32| = 9
|53 - 32| = 21

Next, find the average of these absolute deviations:

(16 + 9 + 5 + 9 + 21) / 5 = 12

Therefore, the main absolute deviation of the weights is 12 pounds.