Answer:
The mean absolute deviation is 16.
Step-by-step explanation:
For a set of N values:
{x₁, x₂, ..., xₙ}
The mean value is:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
And the mean absolute deviation is:
[tex]MAD = \frac{|x_1 - M| + |x_2 - M| + ... + |x_n - M|}{N}[/tex]
In this case, we have a set of 4 values, {-32, 9, 11, 12}
The first thing we need to do is find the mean, it will be equal to:
[tex]M = \frac{-32 + 9 + 11 + 12}{4} = 0[/tex]
Then the mean absolute deviation will be:
[tex]MAD = \frac{|-32 - 0| + |9 - 0| + |11 - 0| + |12 - 0 |}{4} = \frac{32 + 9 + 11 + 12}{4} = 16[/tex]
The mean absolute deviation is 16.
