Final answer:
To find the total number of home and away games played, we need to determine the number of games that have been played in total. From the information given, we know that the mean number of home goals scored is 2.5 and the mean number of away goals scored is 1.8. Therefore, the total number of home and away games played is 18.
Step-by-step explanation:
To find the total number of home and away games played, we need to determine the number of games that have been played in total. From the information given, we know that the mean number of home goals scored is 2.5 and the mean number of away goals scored is 1.8. Since there are four quarters in a game, the total number of goals scored in a game is 4 times the mean number of goals. Therefore, the total number of home goals scored in all games is 2.5 * 4 = 10 and the total number of away goals scored in all games is 1.8 * 4 = 7.2.
However, since we can't have a fraction of a game, we need to round the number of away goals to the nearest whole number. In this case, the number of away goals would be rounded up to 8. So the total number of home and away games played in total is 10 + 8 = 18.