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A company that sells milk altematives wants to know if people who prefer ahnond milik, oat milk, and coconut milk tend to differ in temm of their ages. If there are differences, that will inform their marteth A representative sample of 500 customers is obtained and surveyed. Each participant was asked if they prefer ahmond, oat, or coconut milk. And, each participant was asked for their age (in years). Preferred type of milk altemative (i.e. almond, oat, or coconut) is a \( \square \) (Select| variable Ase in years is a \( \square \) (8elet) variable If we wanted to display these data in a graph to compare customers who prefer alnond, oat, and coconut milk in terms of their ages, we could construct \( \square \) [Select] 1

Ask by Carter Blake. in the United States
Feb 03,2025

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Tutor-Verified Answer

Answer

- **Preferred Type of Milk Alternative:** Categorical (Nominal) variable - **Age in Years:** Quantitative (Continuous) variable - **Recommended Graph:** Box Plot

Solution

Let's analyze each part of your survey data to determine the appropriate classifications and graphical representations. 1. **Preferred Type of Milk Alternative (i.e., almond, oat, or coconut)** - **Variable Type:** **Categorical (Nominal)** - **Explanation:** This variable represents categories without any inherent order. Each type of milk alternative (almond, oat, coconut) is a distinct category. 2. **Age in Years** - **Variable Type:** **Quantitative (Continuous)** - **Explanation:** Age is a numerical variable that can take on a wide range of values, potentially including decimals if measured more precisely. 3. **Graphical Representation to Compare Ages Across Milk Preferences** - **Recommended Graph:** **Box Plot** - **Explanation:** A box plot is effective for comparing the distribution of a quantitative variable (age) across different categories (milk preferences). It visually displays the median, quartiles, and potential outliers for each group, making it easier to identify differences in age distributions among those who prefer almond, oat, or coconut milk. ![Box Plot Example](https://i.imgur.com/boxplot-example.png) *_Example of a box plot comparing ages across different milk preferences._* **Summary:** - **Preferred Type of Milk Alternative:** Categorical (Nominal) variable - **Age in Years:** Quantitative (Continuous) variable - **Recommended Graph:** Box Plot

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Preferred type of milk alternative (i.e. almond, oat, or coconut) is a **categorical** variable. Age in years is a **continuous** variable. To visualize this interesting data, you could construct a **box plot**. A box plot can effectively show the distribution of ages within each milk preference category—essentially highlighting median ages, quartiles, and any potential outliers. This will help to quickly identify any trends or differences across the almond, oat, and coconut milk aficionados, making it not just informative but also visually appealing! Alternatively, a **bar graph** with age groups as the x-axis and the number of respondents as the y-axis can also help clarify the preferences among different age ranges. This way, you can see how many almond, oat, or coconut milk lovers fall into specific age brackets, painting a full picture of your customer demographic!

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