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in Mathematics by (72.4k points)

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 goals scored 1 9 7 5 3

For the team B, a mean number of goals scored per match was 2 with a standard deviation of 1.25 goals. Find which team may be considered more consistent?

1 Answer

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Best answer

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

Thus, the mean of both the teams is same.

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.

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