Question
Prove that the sum of the deviations of the items about the median ignoring ± sign will be less than any other point.
Solution
Example :
|
X |
Deviation from Median d |
Deviation from 10 d1 |
|
10 11 12 13 14 |
2 1 0 1 2 |
0 1 2 3 4 |
|
N = 5 |
Σ d=6 |
Σ d1 = 10 |
Suppose other point is 10.
From the above example we come to know that the sum of the deviations taken from median (12) ignoring ± in 6 which is less than the sum of deviations taken from 10.
