The following is ht record of goals scored by team A in a football session For the team b, mean number of goals scored per match was 2 with a standard deviation 1.25 goals. Find which team may be considered more consistent?

Explanation

For team A

Mean `bar=(sumf_(i)x_(i))/N=50/25=2`
Variance `=(sumf_(i)x_(i)^(2))/N-((sumf_(i)x_(i))/N)^(2)`
`=130/25-(50/25)^(2)=5.2-4=1.2`
`implies` Standard deviation `sigma=sqrt(1.2)=1.095`
NOw coefficient of variation of goals of team
`=(sigma)/x xx 100`
`=1.095/2xx 100=54.75`
and coefficient of variance of the goals of team B
`=(sigma)/x xx 100`
`=1.25/2xx100=62.50`
`:'` The coefficient of variation of team A is less.
`:.` Team A's performance is more consistent.