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?
To find the mean absolute deviation, first find the mean of the numbers:
Mean = (3 + 1.6 + 2.8 + 2.5 + 1.7 + 2.8) / 6
Mean = 14.4 / 6
Mean = 2.4
Next, find the absolute deviation of each number from the mean:
|3 - 2.4| = 0.6
|1.6 - 2.4| = 0.8
|2.8 - 2.4| = 0.4
|2.5 - 2.4| = 0.1
|1.7 - 2.4| = 0.7
|2.8 - 2.4| = 0.4
Now, find the mean of these absolute deviations:
Mean absolute deviation = (0.6 + 0.8 + 0.4 + 0.1 + 0.7 + 0.4) / 6
Mean absolute deviation = 3.0 / 6
Mean absolute deviation = 0.5
Therefore, the mean absolute deviation of the weights of the puppies at birth is 0.5 pounds.