Question

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.
minutes

Answer 1

Answer:

The is 8 Answer

Step-by-step explanation:

because I checked it is 8

Answer 2

Mean absolute deviation (MAD) 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."

Formula used

Mean absolute deviation = $\frac{1}{n}$∑ absolute value of(  $x_{i}$ - $\bar{x}$)

$\bar{x}$ = average value of the given data set

n = total number of data set

$x_{i}$ = data value in  given set

According to the question,

$\bar{ x} = \frac{sum of all the data set}{total number of data set}$

⇒$\bar{x} = \frac{2052}{16}$

⇒ $\bar{x}$ = 128.25

Substitute the value in the formula, we have

Mean absolute deviation = $\frac{2890}{16}$

                                           = 180.625

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

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