The following is the record of goals scored by team $A$ in a football session:

No. of goals scored	$0, 1, 2, 3, 4$
No. of matches	$1, 9, 7, 5, 3$

For team $B$,the mean number of goals scored per match was $2$ with a standard deviation of $1.25$ goals. Find which team may be considered more consistent?

(A) First,we calculate the mean and standard deviation for team $A$.

$x_i$	$f_i$	$f_i x_i$	$f_i x_i^2$
$0$	$1$	$0$	$0$
$1$	$9$	$9$	$9$
$2$	$7$	$14$	$28$
$3$	$5$	$15$	$45$
$4$	$3$	$12$	$48$
Total	$25$	$50$	$130$

Mean $\bar{x} = \frac{\sum f_i x_i}{\sum f_i} = \frac{50}{25} = 2$.
Standard deviation $\sigma = \sqrt{\frac{\sum f_i x_i^2}{N} - (\bar{x})^2} = \sqrt{\frac{130}{25} - (2)^2} = \sqrt{5.2 - 4} = \sqrt{1.2} \approx 1.095$.
For team $B$,mean $= 2$ and $\sigma = 1.25$.
Since the mean is the same for both teams,the team with the lower standard deviation is more consistent. Since $1.095 < 1.25$,team $A$ is more consistent.