The list shows the weight in pounds of 6 puppies at birth.
3, 1.6, 2.8, 2.5, 1.7, 2.8
What is the mean absolute deviation of these numbers?
(1 point)
Responses
14.4
14.4
1.9
1.9
2.4
2.4
0.5
0.5
The mean absolute deviation is a measure of how spread out the numbers are compared to the mean. To calculate it, first find the mean of the numbers:
(3 + 1.6 + 2.8 + 2.5 + 1.7 + 2.8) / 6 = 2.43
Now, calculate the absolute deviation of each number from the mean:
|3 - 2.43| = 0.57
|1.6 - 2.43| = 0.83
|2.8 - 2.43| = 0.37
|2.5 - 2.43| = 0.07
|1.7 - 2.43| = 0.73
|2.8 - 2.43| = 0.37
Now, find the average of these absolute deviations:
(0.57 + 0.83 + 0.37 + 0.07 + 0.73 + 0.37) / 6 = 0.51
So, the mean absolute deviation of these numbers is 0.5. The correct answer is:
0.5