Questions: Determine which level of measurement is appropriate. Salaries of college professors.

Transcript text: Determine which level of measurement is appropriate. Salaries of college professors.

Solution

Solution Steps

To determine the level of measurement for salaries of college professors, we need to consider the nature of the data. Salaries are numerical values that can be ordered, and the differences between them are meaningful. Additionally, there is a true zero point (a salary of $0 means no salary). Therefore, the level of measurement is ratio.

Step 1: Identify the Data Type

The data in question consists of salaries of college professors, represented as numerical values. Each salary can be expressed as $ x_i $ where $ i $ denotes the individual professor.

Step 2: Analyze the Characteristics

Salaries can be ordered, and the differences between them are meaningful. For example, the difference between $ 60000 $ and $ 50000 $ is $ 10000 $, which has a clear interpretation. Additionally, there is a true zero point, as a salary of $ 0 $ indicates no income.

Step 3: Determine the Level of Measurement

Given that the data is numerical, can be ordered, has meaningful differences, and possesses a true zero point, the appropriate level of measurement for the salaries of college professors is classified as a ratio.