The Table Shows Janisa's Scores In An Archery Tournament Qualifying Event.${ \begin{tabular}{|c|} \hline Janisa's Scores \ \hline 10 \ \hline 10 \ \hline 8 \ \hline 8 \ \hline 3 \ \hline ? ? ? \ \hline \end{tabular} }$Janisa Needs A
Understanding the Problem
Janisa's scores in an archery tournament qualifying event are presented in a table. The table contains six scores, with one score missing, denoted by a question mark. Janisa needs to determine the missing score to proceed with the tournament. In this article, we will guide you through the steps to find the missing score and understand the underlying mathematics.
Analyzing the Table
The table shows Janisa's scores as follows:
| Score |
|---|
| 10 |
| 10 |
| 8 |
| 8 |
| 3 |
| ? |
Identifying the Pattern
To find the missing score, we need to identify a pattern in the given scores. Let's examine the scores closely:
- The first two scores are both 10.
- The next two scores are both 8.
- The fifth score is 3.
It appears that the scores are alternating between two different values. We can represent this pattern as follows:
- Score 1: 10
- Score 2: 10
- Score 3: 8
- Score 4: 8
- Score 5: 3
- Score 6: ?
Determining the Missing Score
Based on the identified pattern, we can determine the missing score. Since the scores are alternating between 10 and 8, and the last known score is 3, we can infer that the missing score is 10.
Calculating the Average Score
To calculate the average score, we need to add up all the scores and divide by the total number of scores. Let's calculate the average score:
- Score 1: 10
- Score 2: 10
- Score 3: 8
- Score 4: 8
- Score 5: 3
- Score 6: 10 (determined missing score)
Total score: 10 + 10 + 8 + 8 + 3 + 10 = 49
Total number of scores: 6
Average score: 49 ÷ 6 = 8.17
Conclusion
In this article, we analyzed Janisa's scores in an archery tournament qualifying event and identified a pattern in the scores. We determined the missing score by following the pattern and calculated the average score. The missing score is 10, and the average score is 8.17.
Key Takeaways
- Identify patterns in data to make informed decisions.
- Use mathematical concepts, such as averages, to analyze data.
- Practice problem-solving skills to determine missing values.
Real-World Applications
Understanding patterns and calculating averages is essential in various real-world applications, such as:
- Business: Analyzing sales data to determine trends and make informed decisions.
- Sports: Calculating player statistics to evaluate performance.
- Science: Analyzing data to understand natural phenomena.
Final Thoughts
Frequently Asked Questions
In this article, we will address some of the most frequently asked questions related to the table showing Janisa's scores in an archery tournament qualifying event.
Q: What is the pattern in the scores?
A: The pattern in the scores is that they are alternating between two different values. In this case, the scores are alternating between 10 and 8.
Q: How did you determine the missing score?
A: We determined the missing score by following the pattern in the scores. Since the scores are alternating between 10 and 8, and the last known score is 3, we can infer that the missing score is 10.
Q: Can you explain the calculation of the average score?
A: To calculate the average score, we need to add up all the scores and divide by the total number of scores. In this case, the total score is 49 (10 + 10 + 8 + 8 + 3 + 10) and the total number of scores is 6. Therefore, the average score is 49 ÷ 6 = 8.17.
Q: What are some real-world applications of identifying patterns and calculating averages?
A: Understanding patterns and calculating averages is essential in various real-world applications, such as:
- Business: Analyzing sales data to determine trends and make informed decisions.
- Sports: Calculating player statistics to evaluate performance.
- Science: Analyzing data to understand natural phenomena.
Q: How can I practice identifying patterns and calculating averages?
A: You can practice identifying patterns and calculating averages by working on problems like the one presented in this article. Try to identify patterns in different types of data, such as numbers, words, or images. You can also use online resources or math textbooks to find practice problems.
Q: What are some common mistakes to avoid when identifying patterns and calculating averages?
A: Some common mistakes to avoid when identifying patterns and calculating averages include:
- Not considering all the data points when identifying a pattern.
- Not checking for outliers or anomalies in the data.
- Not using the correct formula for calculating the average.
- Not rounding the average to the correct number of decimal places.
Q: Can you provide more examples of identifying patterns and calculating averages?
A: Here are a few more examples:
- Example 1: A student scores 80, 90, 70, 80, and 95 on five math tests. What is the average score?
- Answer: The average score is (80 + 90 + 70 + 80 + 95) ÷ 5 = 84.6.
- Example 2: A company sells 100, 120, 150, 100, and 120 units of a product in five consecutive weeks. What is the average number of units sold per week?
- Answer: The average number of units sold per week is (100 + 120 + 150 + 100 + 120) ÷ 5 = 120.
Conclusion
In this article, we addressed some of the most frequently asked questions related to the table showing Janisa's scores in an archery tournament qualifying event. We provided explanations and examples to help you understand the concepts of identifying patterns and calculating averages. Practice these skills to become proficient in analyzing data and making informed decisions.