Let's analyze the table provided to determine the total number of variables and the number of categorical variables.
1. Gender: This variable describes whether the student is 'Male (M)' or 'Female (F)'. This is a categorical variable because it falls into distinct categories.
2. Height, inches: This measures the height of each student in inches. This is a numerical variable because it is represented by a number and can be measured.
3. Favorite Dessert: This variable represents the favorite dessert of each student (e.g., Ice cream, Brownies, Cookies, etc.). This is a categorical variable because it falls into different predefined categories.
4. Hand: This variable indicates whether the student is left-handed (L) or right-handed (R). This is a categorical variable because it falls into distinct categories.
5. No. of Siblings: This represents the number of siblings each student has. This is a numerical variable because it is represented by a number and can be counted.
6. College Bound: This variable tells whether the student plans to go to college (Yes) or not (No). This is a categorical variable because it falls into distinct categories.
7. Age, years: This measures the age of the student in years. This is a numerical variable because it is represented by a number and can be measured.
After analyzing these variables, we can summarize:
- The total number of variables is seven.
- The categorical variables are:
- Gender
- Favorite Dessert
- Hand
- College Bound
Thus, there are four categorical variables in this dataset.
Based on this information, the correct answer is:
b) seven variables, four of which are categorical
