What is the mad/ of a problem? how do you find the mad?

M.A.D (mean absolute deviation)   and it is the average of the absolute value, or the difference between actual values and their average value, and is used for the calculation of demand variability. It is expressed by the following formula.

for example:

3, 4, 9, 8, 2, 0, 1 ( the following listed numbers are called the data set).

(we add up all the numbers, divide it by 7 since there are 7 numbers in the data set)

3 + 4 +  9 + 8 + 2 + 0 + 1 = 27 ÷ 7 = 3.85

(for the next step we need to subtract the data set with 3.85)

4 - 3.85 = 0.15

9 - 3.85 = 5.15

8 - 3.85 = 4.15

3.85 - 2 = 1.85

3.85 - 0 = 3.85

3.85 - 1 = 2.85

(for the final step we just have to add all the differences' then divide it with 7 again)

0.15 + 5.15 + 4.15 + 1.85 + 3.85 + 2.85 = 18 ÷ 7 = 2.57

so 2.57 would be our M.A.D.

2 x 503

step-by-step explanation:

its 1006

a) 40 more; b) old factory:   10%, new factory:   16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.  

using the function, substituting 0 in for w,

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate.   the equation for the old factory is ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1.   this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337.   this is the first week that the new factory surpasses the old.