Use The Two-way Frequency Table To Complete The Sentences. Type The Correct Answer In Each Box. Round Any Percentages To The Nearest Whole Percent.$\[ \begin{array}{|c|c|c|c|} \hline & \text{Early Bird} & \text{Night Owl} & \text{Total}
Introduction
A two-way frequency table is a statistical tool used to display the relationship between two categorical variables. In this article, we will use a two-way frequency table to complete sentences related to a mathematics discussion category. The table will provide us with the necessary information to determine the correct answers for each sentence.
Two-Way Frequency Table
| Early Bird | Night Owl | Total | |
|---|---|---|---|
| Mathematics | |||
| Science | |||
| Total |
Completing the Sentences
Let's assume that the two-way frequency table represents the discussion category of a group of students. The table shows the number of students who discussed mathematics and science as early birds or night owls.
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25% of the students who discussed mathematics as early birds also discussed science as early birds.
- If 25% of the students who discussed mathematics as early birds also discussed science as early birds, then the number of students who discussed mathematics as early birds and science as early birds is 25% of the total number of students who discussed mathematics as early birds.
- Let's assume that the total number of students who discussed mathematics as early birds is 100. Then, the number of students who discussed mathematics as early birds and science as early birds is 25% of 100, which is 25.
- Therefore, the correct answer is 25.
-
75% of the students who discussed science as night owls also discussed mathematics as night owls.
- If 75% of the students who discussed science as night owls also discussed mathematics as night owls, then the number of students who discussed science as night owls and mathematics as night owls is 75% of the total number of students who discussed science as night owls.
- Let's assume that the total number of students who discussed science as night owls is 100. Then, the number of students who discussed science as night owls and mathematics as night owls is 75% of 100, which is 75.
- Therefore, the correct answer is 75.
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The number of students who discussed mathematics as early birds is 40% of the total number of students who discussed mathematics.
- If the number of students who discussed mathematics as early birds is 40% of the total number of students who discussed mathematics, then the number of students who discussed mathematics as early birds is 40% of the total number of students who discussed mathematics.
- Let's assume that the total number of students who discussed mathematics is 100. Then, the number of students who discussed mathematics as early birds is 40% of 100, which is 40.
- Therefore, the correct answer is 40.
-
The number of students who discussed science as night owls is 60% of the total number of students who discussed science.
- If the number of students who discussed science as night owls is 60% of the total number of students who discussed science, then the number of students who discussed science as night owls is 60% of the total number of students who discussed science.
- Let's assume that the total number of students who discussed science is 100. Then, the number of students who discussed science as night owls is 60% of 100, which is 60.
- Therefore, the correct answer is 60.
Conclusion
In this article, we used a two-way frequency table to complete sentences related to a mathematics discussion category. We assumed that the table represented the discussion category of a group of students and used the information provided to determine the correct answers for each sentence. The correct answers were 25, 75, 40, and 60.
Mathematics Discussion Category Two-Way Frequency Table
| Early Bird | Night Owl | Total | |
|---|---|---|---|
| Mathematics | 40 | 60 | 100 |
| Science | 25 | 75 | 100 |
| Total | 65 | 135 | 200 |
Introduction
A two-way frequency table is a statistical tool used to display the relationship between two categorical variables. In this article, we will answer some frequently asked questions about two-way frequency tables.
Q: What is a two-way frequency table?
A: A two-way frequency table is a statistical tool used to display the relationship between two categorical variables. It is a table that shows the frequency of each combination of the two variables.
Q: What are the advantages of using a two-way frequency table?
A: The advantages of using a two-way frequency table include:
- It provides a clear and concise way to display the relationship between two categorical variables.
- It allows for easy comparison of the frequencies of each combination of the two variables.
- It can be used to identify patterns and trends in the data.
Q: How do I create a two-way frequency table?
A: To create a two-way frequency table, you will need to:
- Identify the two categorical variables that you want to analyze.
- Collect data on the two variables.
- Create a table with the two variables as the rows and columns.
- Fill in the table with the frequencies of each combination of the two variables.
Q: What are some common mistakes to avoid when creating a two-way frequency table?
A: Some common mistakes to avoid when creating a two-way frequency table include:
- Not including all possible combinations of the two variables.
- Not using a clear and consistent format for the table.
- Not including a key or legend to explain the table.
Q: How do I interpret a two-way frequency table?
A: To interpret a two-way frequency table, you will need to:
- Look for patterns and trends in the data.
- Identify the most common combinations of the two variables.
- Compare the frequencies of each combination of the two variables.
Q: What are some common applications of two-way frequency tables?
A: Some common applications of two-way frequency tables include:
- Analyzing the relationship between two categorical variables.
- Identifying patterns and trends in the data.
- Making predictions based on the data.
Q: Can I use a two-way frequency table to analyze more than two variables?
A: No, a two-way frequency table is used to analyze the relationship between two categorical variables. If you want to analyze more than two variables, you will need to use a different type of statistical tool, such as a contingency table or a chi-squared test.
Q: How do I use a two-way frequency table to make predictions?
A: To use a two-way frequency table to make predictions, you will need to:
- Identify the most common combinations of the two variables.
- Use the frequencies of each combination of the two variables to make predictions.
Conclusion
In this article, we answered some frequently asked questions about two-way frequency tables. We discussed the advantages and disadvantages of using a two-way frequency table, how to create one, and how to interpret the results. We also discussed some common applications of two-way frequency tables and how to use them to make predictions.
Additional Resources
- Link to additional resources on two-way frequency tables
- Link to additional resources on statistical analysis
Note: The information in this article is for educational purposes only and is not intended to be used as a substitute for professional advice or guidance.