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:
- What is the difference between continuous and discrete quantitative variables?
- Can a categorical variable have an order or ranking? (What’s an example of an ordinal variable?)
- Why is it important to differentiate between quantitative and categorical variables in data analysis?
- Can categorical variables be measured in numerical terms? (Think of "codes" for categories)
- 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