Question

for each part below, indicate whether the variable is a quantitative or a categorical (qualitative) variable.
variable\ttype of variable
(a) length (in feet) of a roll of plastic wrap advertised to be 30 feet long\tquantitative
\tcategorical
(b) name of cell phone service provider\tquantitative
\tcategorical
(c) letter grade (a, b, c, d, or f)\tquantitative
\tcategorical
(d) anxiety rating (highly anxious, moderately anxious, or relaxed)\tquantitative
\tcategorical

Explanation:

Quantitative variables represent amounts and can be measured numerically. Categorical variables represent types and are divided into groups.
(a) The length of plastic wrap is a numerical measurement, so it's quantitative.
(b) The name of a cell - phone service provider is a type of category, so it's categorical.
(c) Letter grades are categories and not numerical amounts in a mathematical sense, so it's categorical.
(d) Anxiety ratings are categories, not numerical measures in the traditional sense, so it's categorical.

Answer:

(a) Quantitative
(b) Categorical
(c) Categorical
(d) Categorical