Brenda Had Bowling Scores Of 92, 110, 85, 78, And 96. She Completed The Steps Below To Determine The Score She Needs In Her Next Game To Have A Mean, Or Average, Bowling Score Of 96.Step 1: Find The Total Points Needed To Score In Six Games: $96
Introduction
In this article, we will explore the steps Brenda took to determine the score she needs in her next game to achieve a mean bowling score of 96. The mean, or average, is calculated by adding up all the scores and dividing by the number of games played. To find the required score for the next game, Brenda will need to calculate the total points needed to score in six games and then determine the score she needs to achieve in the next game.
Step 1: Find the Total Points Needed to Score in Six Games
To find the total points needed to score in six games, we need to multiply the desired mean score by the number of games. In this case, Brenda wants to achieve a mean score of 96 in six games.
Calculating the Total Points Needed
The total points needed to score in six games can be calculated as follows:
Total Points = Desired Mean Score x Number of Games
Total Points = 96 x 6
Total Points = 576
Therefore, Brenda needs a total of 576 points to score in six games to achieve a mean score of 96.
Calculating the Current Total Points
Before we can determine the score Brenda needs in her next game, we need to calculate the current total points she has scored in the five games she has already played.
Current Total Points = 92 + 110 + 85 + 78 + 96
Current Total Points = 461
Calculating the Required Score for the Next Game
To find the required score for the next game, we need to subtract the current total points from the total points needed to score in six games.
Required Score = Total Points - Current Total Points
Required Score = 576 - 461
Required Score = 115
Therefore, Brenda needs to score at least 115 points in her next game to achieve a mean score of 96 in six games.
Conclusion
In this article, we have explored the steps Brenda took to determine the score she needs in her next game to achieve a mean bowling score of 96. By calculating the total points needed to score in six games and subtracting the current total points from the total points needed, Brenda was able to determine the required score for the next game.
Calculating the Mean Score
The mean score is calculated by adding up all the scores and dividing by the number of games played. To find the mean score, we can use the following formula:
Mean Score = (Sum of Scores) / Number of Games
Mean Score = (92 + 110 + 85 + 78 + 96 + Required Score) / 6
Mean Score = (461 + 115) / 6
Mean Score = 576 / 6
Mean Score = 96
Therefore, Brenda's mean score will be 96 if she scores at least 115 points in her next game.
Real-World Applications
Calculating the required score for a desired mean is an important concept in many real-world applications, including sports, business, and finance. In sports, calculating the required score can help athletes and teams determine the score they need to achieve in a game to win or achieve a certain goal. In business, calculating the required score can help companies determine the sales or revenue they need to achieve to meet their financial goals. In finance, calculating the required score can help investors determine the return on investment they need to achieve to meet their financial goals.
Conclusion
Q: What is the desired mean score?
A: The desired mean score is the average score that an individual or team wants to achieve in a series of games or events. In the case of Brenda, the desired mean score is 96.
Q: How do I calculate the total points needed to score in six games?
A: To calculate the total points needed to score in six games, you need to multiply the desired mean score by the number of games. In this case, Brenda wants to achieve a mean score of 96 in six games, so the total points needed is:
Total Points = Desired Mean Score x Number of Games
Total Points = 96 x 6
Total Points = 576
Q: How do I calculate the current total points?
A: To calculate the current total points, you need to add up the scores of all the games that have already been played. In this case, Brenda has already played five games with scores of 92, 110, 85, 78, and 96. The current total points is:
Current Total Points = 92 + 110 + 85 + 78 + 96
Current Total Points = 461
Q: How do I calculate the required score for the next game?
A: To calculate the required score for the next game, you need to subtract the current total points from the total points needed to score in six games. In this case, Brenda needs to score at least 115 points in her next game to achieve a mean score of 96 in six games.
Required Score = Total Points - Current Total Points
Required Score = 576 - 461
Required Score = 115
Q: What is the formula for calculating the mean score?
A: The formula for calculating the mean score is:
Mean Score = (Sum of Scores) / Number of Games
Mean Score = (92 + 110 + 85 + 78 + 96 + Required Score) / 6
Mean Score = (461 + 115) / 6
Mean Score = 576 / 6
Mean Score = 96
Q: Why is calculating the required score for a desired mean important?
A: Calculating the required score for a desired mean is important because it helps individuals and teams determine the score they need to achieve in a game or series of games to meet their goals. In sports, it can help athletes and teams win championships or achieve a certain ranking. In business, it can help companies meet their financial goals or achieve a certain level of success. In finance, it can help investors achieve a certain return on investment.
Q: Can I use this formula to calculate the required score for a desired mean in other situations?
A: Yes, you can use this formula to calculate the required score for a desired mean in other situations. For example, you can use it to calculate the required score for a desired mean in a series of tests or exams, or to calculate the required score for a desired mean in a business or financial context.
Q: What are some real-world applications of calculating the required score for a desired mean?
A: Some real-world applications of calculating the required score for a desired mean include:
- Sports: Calculating the required score for a desired mean can help athletes and teams determine the score they need to achieve in a game or series of games to win a championship or achieve a certain ranking.
- Business: Calculating the required score for a desired mean can help companies meet their financial goals or achieve a certain level of success.
- Finance: Calculating the required score for a desired mean can help investors achieve a certain return on investment.
Q: How can I apply this formula in my own life or business?
A: You can apply this formula in your own life or business by identifying your desired mean score and using the formula to calculate the required score for the next game or series of games. For example, if you are an athlete, you can use this formula to determine the score you need to achieve in a game or series of games to win a championship or achieve a certain ranking. If you are a business owner, you can use this formula to determine the sales or revenue you need to achieve to meet your financial goals.