Question

The mean of a soccer team goals is 6 goals after 4 games. If the team scored 5 goals in the first game, 6 goals in the second game and 6 goals in the third game, how many goals did they score at the 4th game?

Answer 1

7


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Answer 2

Answer:  7 goals

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Work Shown:

We have this set of data

$\begin{tabular}{|l|l|}\textbf{game} & \textbf{goals}\\ 1 & 5 \\ 2 & 6 \\ 3 & 6\\ 4 & x \end{tabular}$

where x is some positive whole number. Add up everything in the second column:

5+6+6+x = x+17

This represents the total number of goals made over the four games.

Divide this over the number of games played (4) and set that equal to the mean of 6. Solve for x.

(x+17)/4 = 6

x+17 = 4*6

x+17 = 24

x = 24-17

x = 7

7 goals were scored in the fourth game.