What is the mean absolute deviation of the data set? 8, 5, 12, 4, 5, 8, 7
a.1
b.2
c.5
d.7

The MAD is: 2

Step-by-step explanation:

First, you add all the terms together. So we get 49.

Then, we divide 49 by the amount of terms. There are 7 terms, so we do 49/7.

We get 7. Now we have to find out the distance between each point and the mean, which is seven.

Now, we add all the distances together. We get 14.

Now, we divide 14 by the amount of terms, which is 7. 14/7 is 2.

The answer is b.

17 1/3

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)