lesson 14: frequency tables and graphs frequency tables which of the following can be used in a frequency table to list data values? a. numbers b. percentages c. tally marks d. other symbols check answer reset incorrect. try again.

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# Brief Explanations:
To determine what can be used in a frequency table to list data values, we analyze each option:
- **Option a (Numbers)**: Frequency tables can list numerical data values (e.g., number of students, scores), but they aren't the only thing.
- **Option b (Percentages)**: Percentages represent proportions, not raw data values for listing in a frequency table (they are more for relative frequency).
- **Option c (Tally marks)**: Tally marks are used to record the frequency (count) of data values as they are observed, so they can be used to list how many times a data value occurs (a key part of a frequency table).
- **Option d (Other symbols)**: Symbols can represent data values (e.g., using a symbol for a category like a circle for "yes" responses), so they can be used to list data values.

Wait, but the initial answer (a) was incorrect. Let's re - evaluate. A frequency table lists data values and their frequencies. Tally marks are used to count (record frequency) as data is collected, so they are used in constructing the frequency table to list the count (frequency) of each data value. Also, other symbols can represent categorical data values. But maybe the question is about what is used to list the data values (the categories or numerical values) and their frequencies. Wait, maybe the correct answer is c (Tally marks) or d? Wait, no. Let's recall: A frequency table has two columns (or more): one for the data values (which can be numbers, categories represented by symbols, etc.) and one for the frequency (how many times each data value occurs). Tally marks are used to record the frequency as we collect data. So when constructing the frequency table, we can use tally marks to list the frequency (count) of each data value. Also, numbers can be data values, percentages are for relative frequency, and other symbols can be data values (like in categorical data). But the initial answer of a was wrong. Let's think again. The question is "Which of the following can be used in a frequency table to list data values?". So the data values themselves (the items we are counting the frequency of) can be numbers (e.g., ages), tally marks are for counting (frequency), percentages are for relative frequency, and other symbols can represent data values (e.g., a star for a type of product). Wait, maybe the correct answer is c (Tally marks) because tally marks are used to list the frequency (the count) of each data value. Wait, no, the "list data values" part: the data values are what we are counting. So if the data values are, say, the number of cars, we list the numbers (data values) and their frequencies. But tally marks are used to record the frequency. Wait, maybe the question is a bit ambiguous, but let's check standard frequency tables. In a frequency table, we have the data values (could be numbers, categories, symbols) and the frequency (count, which can be recorded with tally marks). So the options:
- Numbers: Can be data values (e.g., 1, 2, 3 as data values, with frequencies).
- Percentages: No, percentages are for relative frequency, not data values.
- Tally marks: Used to record frequency (how many times a data value occurs), so they are used to list the frequency (count) of data values.
- Other symbols: Can be data values (e.g., using a square for "blue" and circle for "red" as data values, with frequencies).

But the initial answer of a was wrong. Let's see, maybe the correct answer is c (Tally marks) or d? Wait, no, let's check a standard frequency table example. Suppose we are counting the number of people with different hair colors: "Black", "Brown", "Blonde". These are data values (categories). We can use tally marks to count how many have each color (frequency). So tally marks are used to list the frequency (count) of each data value. So in the frequency table, the data values are listed (e.g., "Black", "Brown", "Blonde") and the frequency (count) is listed, which can be recorded with tally marks during data collection. So the answer should be c (Tally marks) or maybe d? Wait, no, the question is "to list data values". Wait, maybe the question is asking what is used to list the data values (the items) and their frequencies. So numbers can be data values, tally marks are for frequency, percentages are for relative frequency, other symbols can be data values. But the initial answer of a was wrong. Let's think again. Maybe the correct answer is c (Tally marks) because tally marks are a way to list the frequency (count) of data values. So when you are creating a frequency table, you can use tally marks to record how many times each data value occurs (i.e., list the frequency of each data value). So the correct option is c. Tally marks.
# Answer:
c. Tally marks

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