Math Problem Statement

or each part below, indicate whether the variable is a quantitative or a categorical (qualitative) variable.

Variable

Type of variable

(a) Temperature (in degrees Celsius)

 Quantitative

 Categorical

(b) Duration (in minutes) of a call to a customer support line

 Quantitative

 Categorical

(c) Dosage (in milligrams) of medication

 Quantitative

 Categorical

(d) Native language

 Quantitative

 Categorical

Solution

Let's evaluate each variable:

(a) Temperature (in degrees Celsius)

  • Quantitative
    Temperature is a measurable quantity that can take a wide range of numerical values, making it a quantitative variable.

(b) Duration (in minutes) of a call to a customer support line

  • Quantitative
    Duration refers to a numerical value (minutes), which is measurable, hence it is a quantitative variable.

(c) Dosage (in milligrams) of medication

  • Quantitative
    The dosage is a numerical value (milligrams) that can vary, so it is quantitative.

(d) Native language

  • Categorical
    Native language is a classification, not a numerical value. It groups people into different categories (e.g., English, Spanish, etc.), making it a categorical variable.

Final Summary:

  • (a) Temperature: Quantitative
  • (b) Duration: Quantitative
  • (c) Dosage: Quantitative
  • (d) Native language: Categorical

Would you like more details on any of these? Here are a few related questions for you:

  1. What is the difference between continuous and discrete quantitative variables?
  2. Can a categorical variable have an order or ranking? (What’s an example of an ordinal variable?)
  3. Why is it important to differentiate between quantitative and categorical variables in data analysis?
  4. Can categorical variables be measured in numerical terms? (Think of "codes" for categories)
  5. How do qualitative variables help in grouping data?

Tip: Remember, quantitative variables always represent a measurable amount or count, while categorical variables represent different categories or groups.

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Types
Quantitative and Categorical Variables

Formulas

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Theorems

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Suitable Grade Level

Grades 6-9