Question

Repost bcs last one wasnt clear BUT PLEASE HELPP 5 MINS LEFT

Answer 1

Answer:

$m =13$

Step-by-step explanation:

Given

The attached dataset

Required

The mean absolute deviation

First, calculate the mean

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

So, we have:

$\bar x = \frac{42+40+39+76+71+55+68+65}{8}$

$\bar x = \frac{456}{8}$

$\bar x = 57$

The mean absolute deviation (m) is:

$m =\frac{1}{n} \sum|x - \bar x|$

So, we have:

$m =\frac{1}{8} (|42 - 57| + |40 - 57| + |39 - 57| + |76 - 57| + |71 - 57| + |55 - 57| + |68 - 57| + |65 - 57|)$

Using a calculator, we have:

$m =\frac{1}{8} (|-15| + |-17| + |-18| + |19| + |14| + |-2| + |11| + |8|)$

Remove absolute bracket

$m =\frac{1}{8} (15 + 17 + 18 + 19 + 14 + 2 + 11 + 8)$

$m =\frac{1}{8} *104$

$m =13$

The mean absolute deviation is 13