Math Problem Statement
Develop a cross-tabulation for the data, with x as the row variable and y as the column variable. For x, use classes of 10-29, 30-49, and so on; for y, use classes of 40-59, 60-79, and so on.
Solution
To solve this task, we need to develop a cross-tabulation of the given data. We are asked to divide the values into classes of , , and so on, while dividing the values into classes of , , and so on.
Step-by-Step Process
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Identify Classes for :
- 10-29
- 30-49
- 50-69
- 70-89
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Identify Classes for :
- 40-59
- 60-79
- 80-99
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Count Observations in Each Class Combination:
40-59 | 60-79 | 80-99 | Total | |
---|---|---|---|---|
10-29 | 3 | 1 | 4 | 8 |
30-49 | 1 | 3 | 1 | 5 |
50-69 | 1 | 2 | 1 | 4 |
70-89 | 0 | 1 | 2 | 3 |
Total | 5 | 7 | 8 | 20 |
Explanation:
- For , count how many corresponding values fall into each of the ranges.
- We repeat this process for the other -classes and fill in the table.
Would you like more details on any of these steps or have questions? Here are five related questions to expand on this:
- How do you calculate marginal totals in a cross-tabulation?
- Can cross-tabulation help in identifying correlations between variables?
- What is the importance of choosing appropriate class intervals in cross-tabulation?
- How could you visualize this cross-tabulation using a heatmap?
- What other data analysis techniques could be applied to this dataset?
Tip: Cross-tabulation is especially useful for categorical data analysis and identifying relationships between two variables at different levels.
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Math Problem Analysis
Mathematical Concepts
Cross-tabulation
Classification
Bivariate Data Analysis
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12