Measurement Scales
1. The problem asks to identify the measurement scales for four variables collected from 150 students: Age in years, Grade level, Gender, and Number of hours studying per week.
2. Let's analyze each variable:
- Age in years: This is a quantitative variable with a true zero point (age 0 means no age), and differences and ratios are meaningful. This corresponds to a Ratio scale.
- Grade level (Freshman, Sophomore, Junior, Senior): These categories have a meaningful order but no fixed interval between them. This corresponds to an Ordinal scale.
- Gender: This is a categorical variable with no inherent order. This corresponds to a Nominal scale.
- Number of hours studying per week: This is a quantitative variable with a true zero point (0 hours means no studying), and differences and ratios are meaningful. This corresponds to a Ratio scale.
3. Matching these to the options given:
- Age in years: Ratio
- Grade level: Ordinal
- Gender: Nominal
- Number of hours studying per week: Ratio
4. Therefore, the correct answer is option (a): Ratio, Ordinal, Nominal, Ratio.