Calculate the mean deviation of 5, 3, 0, 7, 2, 1
- 0.0
-
2.0
- 2.5
- 3.0
The correct answer is: B
Explanation
mean = \(\bar{x}\) = \(\frac{\sum x}{n}\)= \(\frac{5 + 3 + 0 + 7 + 2 + 1}{6}\)
\(\frac{18}{6}\) = 3
\(\begin{array}{c|c}
x & x - \bar{x} & |x - \bar{x}|\\ \hline 5 & -2 & 2 \\ \hline 3 & 0 & 0 \\ \hline 0 & -3 & 3 \\ \hline 7 & 4 & 4 \\ \hline 2 & -1 & 1 \\ \hline 1 & -2 & 2 \\ \hline & & & \sum|x - \bar{x}| \\ \hline & & & 12
\end{array}\)
hence, MD = \(\frac{\sum|x - \bar{x}}{n}|\)
\(\frac{12}{6}\)
= 2