Calculate the mean deviation of the set of numbers 7, 3, 14, 9, 7, and 8.
- 13/6
- 5/2
- 7/6
-
7/3
The correct answer is: 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 : \(\frac{\sum |x - \bar{x}|}{n} = \frac{14}{6} = \frac{7}{3}\)