Question

To find this take the average of the absolute values of the differences between each member of a data set in the mean of the data set

Answer 1

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the dataset is missing; However, one can deduce that the question implies that you calculate the mean absolute deviation of the missing dataset.

Take for instance, the dataset is: 1, 2, 2, 3, 3, 5, 8

Calculate the mean:

$\bar x = \frac{\sum x}{n}$

$\bar x = \frac{1+2+2+3+3+5+8}{7}$

$\bar x = \frac{24}{7}$

$\bar x = 3.43$

Next, proceed to the instruction in the question;

Which is:

$M = \frac{1}{n}\sum\limits^{n}_{i=1}|x_i - \bar x|$

So, we have:

$M = \frac{1}{7}(|1-3.43| + |2 - 3.43| + |2 - 3.43| + |3 - 3.43| + |3 - 3.43| + |5 - 3.43| + |8 - 3.43|)$

$M = \frac{1}{7}(|-2.43| + |- 1.43| + |-1.43| + |- 0.43| + |-0.43| + |1.57| + |4.57|)$

Remove absolute brackets

$M = \frac{1}{7}(2.43 + 1.43 + 1.43 + 0.43 + 0.43 + 1.57 + 4.57)$

$M = \frac{1}{7}*12.29$

$M = 1.76$