Step 1

Introduction:

Quantitative variable:

The values of the quantitative variable will be measured on numerical scale. The arithmetic operations produce meaningful results for the quantitative variables. The values of the variables will be displayed as numbers. A quantitative data contains measured numerical values with measurement units.

Categorical variable:

Qualitative variable categories each individual to corresponding groups. It is used for classification of individuals based on some attributes or qualities or characteristics. Categorical variable is also called as qualitative variable or nominal variable. In other words it can be said that, a variable that is used for classification of individuals based on some attributes or qualities or characteristics are called categorical or qualitative variable.

Qualitative data are non-numerical measures such as characteristics, attributes or labels.

Step 2

Explanation:

From the above definition of quantitative variable, it is clear that the quantitative data are displayed in numbers and these data are measurements of numerical variables.

Thus, quantitative data are measurements of numerical variables and are displayed as numerical values.

Hence, Option (D) is correct.

The other options (A, B, C) contradict the definition of quantitative variable.

Introduction:

Quantitative variable:

The values of the quantitative variable will be measured on numerical scale. The arithmetic operations produce meaningful results for the quantitative variables. The values of the variables will be displayed as numbers. A quantitative data contains measured numerical values with measurement units.

Categorical variable:

Qualitative variable categories each individual to corresponding groups. It is used for classification of individuals based on some attributes or qualities or characteristics. Categorical variable is also called as qualitative variable or nominal variable. In other words it can be said that, a variable that is used for classification of individuals based on some attributes or qualities or characteristics are called categorical or qualitative variable.

Qualitative data are non-numerical measures such as characteristics, attributes or labels.

Step 2

Explanation:

From the above definition of quantitative variable, it is clear that the quantitative data are displayed in numbers and these data are measurements of numerical variables.

Thus, quantitative data are measurements of numerical variables and are displayed as numerical values.

Hence, Option (D) is correct.

The other options (A, B, C) contradict the definition of quantitative variable.