Find the mean deviation of these numbers 10, 12, 14, 15, 17, 19.
A
2.5
B
2.6
C
2.7
D
2.8
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\begin{array}{c|c} x & d = x - \bar{x} & |d| \\ \hline 10 & -4.5 & 4.5 \\ 12 & -2.5 & 2.5\\ 14 & -0.5 & 0.5\\ 15 & 0.5 & 0.5\\ 17 & 2.5 & 2.5\\ 19 & 4.5 & 4.5\\ \hline \sum x = 87 & & \sum|d| = 15\end{array}\)
\(\bar{x} = \frac{\sum x}{n}\)
= \(\frac{87}{6}\)
= 14.5
Source: Myschool Past Questions Archive (Record #36401)