The numbers of goals, x, scored by a team in each of its previous 25 games are

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The numbers of goals, x, scored by a team in each of its previous 25 games are summarised by the totals

Σ­(x −1)2 = 30 and ­ Σ(x −1) = 12.

a. Find the mean number of goals that the team scored per game.

b. Find the value of ­x2.

c. Find the value of a and of b in the following table, which shows the frequencies of the numbers of goals scored by the team.

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