Which of the following variables is discrete? Check all that apply. Shoe size Waist measurement Foot length Dress size
Question
Which of the following variables is discrete? Check all that apply. Shoe size Waist measurement Foot length Dress size
Solution 1
The discrete variables from the list are: Shoe size and Dress size.
Here's why:
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Shoe size: This is a discrete variable because shoe sizes come in whole numbers (like 6, 7, 8, etc.) or half sizes (like 6.5, 7.5, 8.5, etc.). You can't have a shoe size of 7.3 or 8.8, for example.
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Dress size: This is also a discrete variable because dress sizes are typically whole numbers (like 2, 4, 6, etc.). You can't have a dress size of 2.5 or 3.7, for example.
On the other hand, waist measurement and foot length are continuous variables because they can take on any value within a certain range. For example, your waist could be 28.5 inches or your foot could be 9.75 inches long.
Solution 2
The discrete variables from the list are:
- Shoe size
- Dress size
These are considered discrete because they can only take on certain values and not others. For example, you can have a shoe size of 8 or 9, but not 8.5 (in some measurement systems). Similarly, dress sizes are often numbered and do not take on decimal values.
On the other hand, waist measurement and foot length are continuous variables because they can take on any value within a certain range. For example, your waist measurement could be 32.5 inches, or your foot length could be 9.75 inches. These measurements are not limited to whole numbers.
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