Answer:
the mean absolute deviation (MAD) of the data set {12, 11, 12, 16, 19} is 2.8.
Explanation:
To find the mean absolute deviation (MAD) of the data set {12, 11, 12, 16, 19}, follow these steps:
Find the mean of the data set:
mean = (12 + 11 + 12 + 16 + 19) / 5 = 14
Calculate the absolute deviation of each data point from the mean by subtracting the mean from each data point and taking the absolute value:
|12 - 14| = 2
|11 - 14| = 3
|12 - 14| = 2
|16 - 14| = 2
|19 - 14| = 5
Find the mean of the absolute deviations:
MAD = (2 + 3 + 2 + 2 + 5) / 5 = 2.8
Therefore, the mean absolute deviation (MAD) of the data set {12, 11, 12, 16, 19} is 2.8.