Final answer:
The scenarios mentioned, including pie charts of student classifications and surveys on majors, involve both qualitative (categorical and nominal) and quantitative (proportional) types of data collection and analysis in statistics.
Step-by-step explanation:
Understanding Types of Data in Statistics
The question pertains to the types of data being represented in different scenarios related to student majors and academic classifications like freshmen, sophomores, juniors, or seniors. Data can be of various types such as nominal, ordinal, interval, and ratio, and it can also be categorized into quantitative or qualitative data. In the context provided:
- A pie chart showing the classification of students by their academic year represents categorical data, which is qualitative.
- A survey comparing expected and actual majors by gender deals with nominal data, another form of qualitative data.
- Finding a confidence interval for the proportion of freshmen who have declared their majors involves quantitative data, specifically proportional data.
All these scenarios involve collecting, analyzing, and interpreting different types of data to draw conclusions on the academic trends and preferences of students.