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 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?

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#### Solution

The mean and the standard deviation of goals scored by team A are calculated as follows.

No. of goals scored |
No. of matches |
f_{i}x_{i} |
x_{i}^{2} |
f_{i}x_{i}^{2} |

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 |

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

Concept: Variance and Standard Deviation - Standard Deviation

Is there an error in this question or solution?

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