The mean absolute deviation of the set of numbers is 5/4
How to determine the mean absolute deviation?
The set of numbers is given as:
1 1/2, 0, 4 and 2 1/2
Rewrite the set of numbers as:
1.5, 0, 4 and 2.5
Calculate the mean of the set using:
[tex]\bar x[/tex] = Sum/Count
So, we have:
[tex]\bar x[/tex] = (1.5 + 0 + 4 + 2.5)/4
Evaluate
[tex]\bar x[/tex] = 2
The mean absolute deviation is then calculated as:
M.A.D = 1/n * ∑|x - [tex]\bar x[/tex]|
So, we have:
M.A.D = 1/4 * [|1.5 - 2| + |0 - 2| + |4 - 2| + |2.5 - 2|]
Evaluate the absolute difference
M.A.D = 1/4 * [0.5 + 2 + 2 + 0.5]
Evaluate the sum
M.A.D = 1/4 * 5
Evaluate the product
M.A.D = 5/4
Hence, the mean absolute deviation of the set of numbers is 5/4
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