The mean absolute deviation (MAD) of the given data set, which represents the number of albums released by four artists (7, 9, 6, 6), is 1.
What is the mean absolute deviation?
To calculate the mean absolute deviation (MAD), follow these steps:
1. Find the mean (average) of the data set.
Mean = (7 + 9 + 6 + 6) / 4 = 28/4
Mean = 7
2. Subtract the mean from each data point and find the absolute value of the result.
|7 - 7| = 0
|9 - 7| = 2
|6 - 7| = 1
|6 - 7| = 1
3. Find the mean of these absolute deviations.
mean absolute deviation = (0 + 2 + 1 + 1) / 4
mean absolute deviation = 4 / 4
mean absolute deviation = 1
So, the mean absolute deviation of the given data set is 1.