Calculate the mean deviation of the set of numbers 7, 3, 14, 9, 7, and 8.
-
A.
13/6 -
B.
5/2 -
C.
7/6 -
D.
7/3
Correct Answer: Option D
Explanation
| x | 7 | 3 | 14 | 9 | 7 | 8 | Total |
| (x – bar{x}) | -1 | -5 | 6 | 1 | -1 | 0 | |
| (|x – bar{x}|) | 1 | 5 | 6 | 1 | 1 | 0 | 14 |
Mean : (frac{7 + 3 + 14 + 9 + 7 + 8}{6} = frac{48}{6} = 8)
Mean deviation : (frac{sum |x – bar{x}|}{n} = frac{14}{6} = frac{7}{3})