Question

The runs scored by a batsman in the 5 matches of a one-day series are 51, 27, 44, 71 and 82. Calculate the mean deviation about the mean.

• A. 12.4
• B. 13.6
• C. 15.6
• D. 17.2

Answer 1

The correct option is D 17.2

$Mean,\overline{X}=\frac{51+27+44+71+82}{5}=\frac{245}{5}=55$

The deviations for the scores are tabulated below

$\begin{array}{cc}Observation\left(X\right)& D=|X-\overline{X}|\\ 51& 4\\ 27& 28\\ 44& 11\\ 71& 16\\ 82& 27\end{array}$

$M.D\left(\overline{X}\right)=\frac{4+28+11+16+27}{5}=\frac{86}{5}=17.2$