Questions: Question 4 What level of measurement would be applied when doing a survey on the average American's shoe size?

Solution Steps

The level of measurement for shoe size is typically considered to be an interval scale because shoe sizes have a meaningful order and consistent differences between values, but no true zero point.

Since this question is more theoretical and does not require a computational solution, no Python code is necessary.### Step 1: Understand the Levels of Measurement

In statistics, there are four levels of measurement: nominal, ordinal, interval, and ratio. Each level of measurement has different properties:

1. Nominal: Categorizes data without a specific order (e.g., types of shoes).
2. Ordinal: Categorizes data with a specific order but without a consistent difference between categories (e.g., shoe size categories like small, medium, large).
3. Interval: Measures data with a consistent difference between values but no true zero point (e.g., temperature in Celsius).
4. Ratio: Measures data with a consistent difference between values and a true zero point (e.g., height, weight, shoe size).

When conducting a survey on the average American's shoe size, we are dealing with numerical data that can be measured. Shoe size is a continuous variable that has a true zero point (although practically, shoe sizes do not start at zero, the concept of zero size exists). The differences between shoe sizes are consistent (e.g., the difference between size 8 and size 9 is the same as between size 9 and size 10).

Given the characteristics of shoe size data, it fits the description of a ratio level of measurement. This is because:

• It is numerical and continuous.
• It has a true zero point.
• The differences between values are consistent.

Final Answer