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
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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 : \(\frac{\sum |x - \bar{x}|}{n} = \frac{14}{6} = \frac{7}{3}\)
Source: Myschool Past Questions Archive (Record #3396)