Find the mean absolute deviation (MAD) of the data in the pictograph

1.5

Step-by-step explanation:

First, find the mean (average) of the data set.

mean = (x1 + x2 + ...)/N

where x1, x2, ... are the data points, and N the total amount of data points.

mean = (7 + 2 + 4 + 3)/4 = 4

Then, mean absolute deviation is computed as follows:

MAD = (|x1 - mean| + |x2 - mean| + ...)/N

MAD = (|7 - 4| + |2 - 4| + |4 - 4| + |3 - 4|)/4

MAD = (3 + 2 + 1)/4 = 1.5

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3