In the first six poker games, Susan won $50 each time. In the seventh game, she won $100. Which of these is a reasonable conclusion about Susan's average winnings?
1. She always wins the most money in each game.
2. Her final average winnings would be $63.64.
3. Her average winnings after seven games would be closer to $50 than to $100.
4. Her average winnings after seven games would be closer to $100 than to $50.
5. Her average winnings after seven games would be $66.67.
To find the average winnings, we need to add up all the winnings and divide by the number of games played. In this case, Susan won $50 in each of the first six games and $100 in the seventh game.
So, the total winnings would be:
$50 + $50 + $50 + $50 + $50 + $50 + $100 = $400
There were seven games played, so to find the average, we divide the total winnings by the number of games:
$400 / 7 = $57.14
Now, let's analyze the options:
1. She always wins the most money in each game.
- This cannot be concluded since we only have information about her winnings in the first seven games, not all games in general.
2. Her final average winnings would be $63.64.
- This is not correct. The correct average is $57.14.
3. Her average winnings after seven games would be closer to $50 than to $100.
- This is not correct. The correct average is closer to $57.14 than to $50.
4. Her average winnings after seven games would be closer to $100 than to $50.
- This is correct. The correct average is closer to $57.14 than to $100.
5. Her average winnings after seven games would be $66.67.
- This is not correct. The correct average is $57.14, not $66.67.