Respuesta :

             Best Answer:  It might be interesting to look at the MAD for just the data itself and compare with the MAD for the moving averages. (This does not answer your question -- just adds a little extra "color.") What this demonstrates is the smoothing effect of moving averages compared to the raw data.

MAD = (1/n) ∑|x – median|

First sort value to find the median.
Median=47
x ...........x-med .... abs
=======================
34........... -13........ 13
42........... -5 .......... 5
47............ 0........... 0
47 ........... 0........... 0
50 ........... 3............3
53 ........... 6............6
55 ........... 8............8
----------------------------------
.................SUM = 35
..................MAD= 35/7= 5         

I think it will help.

garybgajiton

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.

Otras preguntas