The weights and pounds of Mike’s five pet dogs are listed below. What is the main absolute deviation of the weights?
16
23
27
41
53
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.