Sebastian observed the number of minutes his dormmates spent on social media sites while they were at the library. He reported his data in the following list.
\qquad 13,0 , 14 , 36, 18, 913,0,14,36,18,913, comma, 0, comma, 14, comma, 36, comma, 18, comma, 9
Find the mean absolute deviation (MAD) of the data set.

Respuesta :

Mean absolute deviation of the data set is equals to 180.625.

What is Mean absolute deviation?

Mean absolute deviation of a data set is to find the average distance of each observation of data set  and the mean of the data set.

Mean absolute deviation = 1/n ∑ absolute value of([tex]x_{i}[/tex]  - [tex]x[/tex])

[tex]x[/tex] = average value of the given data set

n = total number of data set

[tex]x_{i}[/tex] = data value in  given set

So,

=2052/16

= 128.25

Then

Mean absolute deviation = 2890/16

                                          = 180.625

Hence, Mean absolute deviation is 180.625.

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