Question

question 6 (multiple choice worth 5 points) (2.04hlo) anya gathered a random sample of beverages from a popular company. she calculated data on different variables. for data that she collected, she constructed a joint frequency table. which of the following variables did she use? price of beverage and number of ounces in the beverage type of beverage and number of ounces in the beverage type of beverage and flavor of beverage price of beverage and flavor of beverage

Explanation:

To determine the correct variables for a joint frequency table, we need one categorical and one numerical variable (or two categorical, but let's analyze each option):

1. "Price of beverage and number of ounces in the beverage": Price and ounces are both numerical (continuous or discrete), so a joint frequency table isn't ideal here (usually for categorical and/or one categorical and one numerical).
2. "Type of beverage and number of ounces in the beverage": Type is categorical (e.g., soda, juice), ounces is numerical (e.g., 12, 16, 20). A joint frequency table can organize counts by type (rows) and ounces (columns, grouped if needed) or vice versa. This works.
3. "Type of beverage and flavor of beverage": Both are categorical (type: soda, juice; flavor: cherry, lemon). A joint frequency table is possible, but let's check the last option.
4. "Price of beverage and flavor of beverage": Price is numerical, flavor is categorical. A joint frequency table could work, but "type" (a broader category) and "ounces" (a common numerical measure for beverages) is more typical for such a study (e.g., analyzing how type relates to size).

However, the key is that a joint frequency table requires variables where we can count occurrences. "Type of beverage" (categorical) and "number of ounces" (numerical, often grouped) is a standard pairing for beverage data (e.g., how many 12-ounce sodas vs. 16-ounce juices). The other options either have two numerical (option 1) or two categorical (option 3) or a less intuitive numerical-categorical pair (option 4). So the most probable is option 2.

Answer:

B. Type of beverage and number of ounces in the beverage (assuming the second option is labeled B; adjust identifier based on original labeling, but the text is "Type of beverage and number of ounces in the beverage").