The following is therecord 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 the team B, meannumber of goals scored per match was 2 with a standard
deviation 1.25 goals.Find which team may be considered more consistent?
The mean and thestandard deviation of goals scored by team A are calculated asfollows.
| No. of goals scored | No. of matches | fixi | xi2 | fixi2 |
| 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 |
| 25 | 50 | 130 |
Thus, the mean of boththe teams is same.
The standard deviationof team B is 1.25 goals.
The average number ofgoals scored by both the teams is same i.e., 2. Therefore, the teamwith lower standard deviation will be more consistent.
Thus, team A is moreconsistent than team B.