What is the Mean Absolute Deviation of the following set
{2, 10, 7, 12, 8}
7.8
2.64
5
13.2
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To find the mean absolute deviation (MAD), we need to find the mean of the set first.
Mean = (2 + 10 + 7 + 12 + 8) / 5 = 39 / 5 = 7.8
Next, we find the absolute deviation of each number from the mean:
|2 - 7.8| = 5.8
|10 - 7.8| = 2.2
|7 - 7.8| = 0.8
|12 - 7.8| = 4.2
|8 - 7.8| = 0.2
Adding up all the absolute deviations gives us:
5.8 + 2.2 + 0.8 + 4.2 + 0.2 = 13.2
The MAD is the average of the absolute deviations:
MAD = 13.2 / 5 = 2.64
Therefore, the mean absolute deviation of the given set is 2.64.