Questions: Statistics Classification of variables 3 / 5 For each part below, indicate whether the variable is a quantitative or a categorical (qualitative) variable. Variable Type of variable (a) Length (in feet) of a roll of plastic wrap advertised to be 30 feet long O Quantitative O Categorical (b) Name of manufacturer of an automobile O Quantitative (c) Price (in dollars) of a shirt on the clearance rack O Categorical (d) Eye color of favorite singer O Quantitative

Statistics Classification of variables 3 / 5 For each part below, indicate whether the variable is a quantitative or a categorical (qualitative) variable. Variable Type of variable (a) Length (in feet) of a roll of plastic wrap advertised to be 30 feet long O Quantitative O Categorical (b) Name of manufacturer of an automobile O Quantitative (c) Price (in dollars) of a shirt on the clearance rack O Categorical (d) Eye color of favorite singer O Quantitative
Transcript text: Statistics Classification of variables $3 / 5$ For each part below, indicate whether the variable is a quantitative or a categorical (qualitative) variable. \begin{tabular}{|l|l|} \hline \multicolumn{1}{|c|}{ Variable } & \begin{tabular}{c} Type of \\ variable \end{tabular} \\ \hline (a) Length (in feet) of a roll of plastic wrap advertised to be 30 feet long & O Quantitative \\ O Categorical \\ \hline (b) Name of manufacturer of an automobile & O Quantitative \\ \hline (c) Price (in dollars) of a shirt on the clearance rack & O Categorical \\ \hline (d) Eye color of favorite singer & O Quantitative \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Analyze variable (a) - Length (in feet) of a roll of plastic wrap
  • The variable "Length (in feet)" is a numerical measurement.
  • Since it represents a quantity that can be measured and expressed in numbers, it is a quantitative variable.
Step 2: Analyze variable (b) - Name of manufacturer of an automobile
  • The variable "Name of manufacturer" represents a label or category.
  • Since it describes a characteristic rather than a numerical value, it is a categorical variable.
Step 3: Analyze variable (c) - Price (in dollars) of a shirt on the clearance rack
  • The variable "Price (in dollars)" is a numerical value representing cost.
  • Since it is a measurable quantity, it is a quantitative variable.

Final Answer

(a) Quantitative: \( \boxed{\text{Quantitative}} \)
(b) Categorical: \( \boxed{\text{Categorical}} \)
(c) Quantitative: \( \boxed{\text{Quantitative}} \)
(d) Categorical: \( \boxed{\text{Categorical}} \)

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