The list shows the weight in pounds of 6 puppies at birth. %0D%0A%0D%0A3, 1.6, 2.8, 2.5, 1.7, 2.8%0D%0A%0D%0AWhat is the mean absolute deviation of these numbers?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A14.4%0D%0A14.4%0D%0A%0D%0A1.9%0D%0A1.9%0D%0A%0D%0A2.4%0D%0A2.4%0D%0A%0D%0A0.5
To find the mean absolute deviation, we first need to find the mean of the weights:
Mean = (3 + 1.6 + 2.8 + 2.5 + 1.7 + 2.8) / 6
Mean = 2.4
Next, we find the absolute deviations of each weight 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, we calculate the average of these absolute deviations:
Mean Absolute Deviation = (0.6 + 0.8 + 0.4 + 0.1 + 0.7 + 0.4) / 6
Mean Absolute Deviation = 2.0 / 6
Mean Absolute Deviation = 0.33333
Therefore, the mean absolute deviation of these numbers is 0.3 or 0.5, depending on the rounding method used.