Calculate the mean deviation of 5, 3, 0, 7, 2, 1
-
A.
0.0 -
B.
2.0 -
C.
2.5 -
D.
3.0
Correct Answer: Option 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