Calculate the mean deviation of 1, 2, 3, 4, 5, 5, 6, 7, 8, 9.
-
A.
2 -
B.
3 -
C.
4 -
D.
5
Correct Answer: Option A
Explanation
| x | 1 | 2 | 3 | 4 | 5 | 5 | 6 | 7 | 8 | 9 | Total |
| (x – bar{x}) | -4 | -3 | -2 | -1 | 0 | 0 | 1 | 2 | 3 | 4 | |
| (|x – bar{x}|) | 4 | 3 | 2 | 1 | 0 | 0 | 1 | 2 | 3 | 4 | 20 |
Mean ((bar{x})) = (frac{1+2+3+4+5+5+6+7+8+9}{10} = frac{50}{10} = 5)
(MD = frac{sum |x – bar{x}|}{n} = frac{20}{10} = 2)