Question

The total runs scored by two cricket players Arun and Bharath in $15$ matches are $1050$ and $900$ with standard deviation $4.2$ and $3.0$ respectively. Who is better run getter? Who is more consistent in performance?

Answer 1

Number of matches played $n=15$
Average score of Arun $\overline{x}=\frac{1050}{15}=70$ Average score of Bharath $\overline{x}=\frac{900}{15}=60$
Let us calculate C.V using $\overline{x}$ and S.D.

Player	Mean	$S.D\left(s\right)$	$C.V=\frac{\sigma }{\overline{x}}\times 100$
Arun	$70$	$4.2$	$=\frac{4.2}{70}\times 100=6.0$
Bharath	$60$	$3.0$	$=\frac{3.0}{60}\times 100=5.0$

(i) The average score of Arun is greater than average score of Bharath, hence Arun is a better run getter.
(ii) The coefficient of variation of Bharath is less than coefficient of variation of Arun, hence Bharath is more consistent.