Decide whether the following statements makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. I made a frequency table with two columns, one labeled "State" and one labeled "State Capitol." Choose the correct answer below. A. The statement makes sense. The set of states is clearly defined and each state has a clearly defined capitol. B. The statement makes sense. In a frequency table, each category listed in one column has a characteristic about it in the second column. The table described in the given statement has this property. C. The statement does not make sense. In a frequency table, one of the columns lists the frequency of each category, which is the number of data values in the category. The table described in the given statement does not have this column. D. The statement does not make sense. In a frequency table, each category must have a frequency greater than 1 . Because each state has exactly one capitol, each category in the table described in the given statement would have frequency 1 .

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UpStudy AI · Accepted Answer

To evaluate the statement about the frequency table with columns labeled "State" and "State Capitol," let's analyze each option:

A. **The statement makes sense. The set of states is clearly defined and each state has a clearly defined capitol.**
   - This statement is true in the sense that each U.S. state has a defined capital. However, it does not address the structure of a frequency table.

B. **The statement makes sense. In a frequency table, each category listed in one column has a characteristic about it in the second column. The table described in the given statement has this property.**
   - This statement is also true. The "State" column can be seen as categories, and the "State Capitol" column provides a characteristic of each state. Thus, it aligns with the concept of a frequency table.

C. **The statement does not make sense. In a frequency table, one of the columns lists the frequency of each category, which is the number of data values in the category. The table described in the given statement does not have this column.**
   - This statement is misleading. While frequency tables often include a frequency column, they can also represent relationships between two categorical variables without explicitly listing frequencies. Therefore, this statement does not accurately reflect the nature of the table described.

D. **The statement does not make sense. In a frequency table, each category must have a frequency greater than 1. Because each state has exactly one capitol, each category in the table described in the given statement would have frequency 1.**
   - This statement is false. A frequency table can include categories with a frequency of 1. The requirement for frequency greater than 1 is not a standard rule for frequency tables.

Based on this analysis, the most accurate answer is:

**B. The statement makes sense. In a frequency table, each category listed in one column has a characteristic about it in the second column. The table described in the given statement has this property.**
The statement makes sense because the "State" column lists categories, and the "State Capitol" column provides a characteristic for each state, which is typical in a frequency table.

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