The Mean Absolute Deviation for the following data: 6, 1, 3, 8, 5, 11, 1, 5 is 2.5
What is mean absolute deviation?
The mean absolute deviation of a dataset is the average distance between each data point and the mean.
mean absolute deviation = [tex]\frac{summation|x-mean|}{n}[/tex]
where
Therefore, let's calculate the mean first.
Arrange the data in ascending order.
1, 1, 3, 5, 5, 6, 8, 11
mean = 1 + 1 + 3 + 5 + 5 + 6 + 8 + 11 / 8 = 40 / 8 = 5
Therefore, let's calculate the distance between each dat point and mean.
|1 - 5| + |1-5| + |3-5| + |5-5| + |5-5| + |6-5| + |8-5| + |11-5|
4 + 4 + 2 + 0 + 0 + 1 + 3 + 6 = 20
Hence,
mean absolute deviation = 20 / 8 = 2.5
learn more on mean absolute deviation here: https://brainly.com/question/14882237
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