xi | fi | fixi | x2i | fix2i |
0 | 1 | 0 | 0 | 0 |
1 | 9 | 9 | 1 | 9 |
2 | 7 | 14 | 4 | 28 |
3 | 5 | 15 | 9 | 45 |
4 | 3 | 12 | 16 | 48 |
Total | 25 | 50 |
| 130 |
Mean=∑5i=1fixi∑5i=1fi=5025=2
Given mean of team B=2
Mean of both the teams is same.
Now,σ=1N√N∑fiX2i−(∑fiXi)2
=125√25×130−(50)2
=125√750
=125×27.38
=1.09
The standard deviation of team B is 1.25 goals
The average number of goals scored by both the teams is same i.e.2. Therefore, the team with lower standard deviation will be more consistent
Thus team A is more consistent than team B.