Chapter 7, Problem 7.1TY

To determine

The correct set of variables.

Answer to Problem 7.1TY

The correct option is (c) Sex and marital status are categorical variables.

Explanation of Solution

Reason for Correct Answer:

The given option represents a categorical variable because the variable sex can be either male or female where an individual is placed in any one of these categories. Also, marital status has categories like (single, married, divorced and other) where an individual is placed in any one of these categories.

Thus, option (c) is correct.

Reason for incorrect answers:

Option (a) age, marital status, and weight are quantitative variables.

This option is incorrect because the option represents marital status as a quantitative variable. But, marital status is a categorical variable.

Option (b) age and weight are categorical variables.

This option is incorrect because age and weight are quantitative variables as it takes numerical values where arithmetic operations are meaningful.

Option (d) sex, marital status, and age are categorical variables.

This option is incorrect because age is a quantitative variable as it takes numerical values. But, other two variables like sex and marital status are categorical variables.

Thus, options (a), (b) and (d) are incorrect.

Conclusion:

Thus, Sex and marital status are categorical variables. Thus, option (c) is correct.

Statistics Concept Introduction

Introduction:

Quantitative variable:

A variable that takes up numerical values for which arithmetic operations makes sense is known as quantitative variable.

Categorical variable:

A categorical variable represents several categories and an individual is placed in anyone of the category.