In: Statistics and Probability
Firstly let us define all the terms
Categorical variables are one that have two or more values but are not continuous
Categorical ordinal variables are discrete variable which indicate the order or rank
Categorical nominal variables are discrete variable which do not indicate the order or rank
Numerical variables are that which is measurable, such as time, weight, height amount and so on
Numerical variables which are not having any values between two values are known as numerical discrete variables
Numerical variables which are having any values between two values are known as numerical continuous variables.
Based on these definitions we will give answers as below:
a. College year can be ordered hence it is categorical ordinal variable
b. Number of text messages sent are numerical discrete variable
c. Level of agreement are ranked hence it is categorical ordinal variable
d. Body Temperature in Fahrenheit, this will have values between two values, hence it is numerical continuous variable.