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Sagot :
If the mean value of the data set is 509. Then the mean absolute deviation (MAD) for the data set will be 51.5.
What is the mean absolute deviation?
It is the average distance between each data point and the mean.
The mean of the following data is 509.
{419, 450, 462, 499, 520, 521, 589, 612}
Then the mean absolute deviation (MAD) for the data set will be
[tex]\rm MAD =\dfrac{1}{n}\sum_{i=1}^{n}\left|x_i - \mu \right|[/tex]
We have
μ = 509
n = 8
Then
[tex]\rm MAD =\dfrac{1}{8} \times (|419 - 509| + |450- 509| + ..... + |612 - 509|) \\\\MAD = 51.5[/tex]
More about the mean absolute deviation link is given below.
https://brainly.com/question/10258446
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