Question

The following number of goals were scored by a team in a series of $10$ matches:
$2,3,4,5,0,1,3,3,4,3$
Find the mean, median and mode of these scores.

Answer 1

Mean $=\frac{\text{Sum of all observations}}{\text{Total number of observations}}$

$=\frac{2+3+4+5+0+1+3+3+4+3}{10}$

$=\frac{28}{10}=2.8$;

Total observations $=10$ (even)
$\therefore$ Median $=\frac{10}{2}=5$th & $\frac{10}{2}+1=6$th

Median score $=\frac{5^{th}+6^{th}\text{observations}}{2}=\frac{3+3}{2}=\frac{6}{2}=3$;

Maximum frequency $=4$ of $3$;

$\therefore$ Mode $=3$