Questions: A quantitative variable is the only type of variable that can: assume numeric values for which arithmetic operations make sense

Transcript text: A quantitative variable is the only type of variable that can: assume numeric values for which arithmetic operations make sense

Solution

Solution Steps

Solution Approach

To determine the correct answer, we need to understand the characteristics of a quantitative variable. A quantitative variable is one that can be measured numerically and allows for arithmetic operations. This means it can assume numeric values for which arithmetic operations make sense.

Step 1: Understanding Quantitative Variables

A quantitative variable is defined as a variable that can be measured numerically. It allows for arithmetic operations, meaning it can take on values that can be added, subtracted, multiplied, or divided.

Step 2: Identifying Characteristics

Among the given options, we analyze the characteristics of a quantitative variable:

It can have no intermediate values.
It can assume numeric values for which arithmetic operations make sense.
It can be used to prepare tables.
It can be graphed.

Step 3: Selecting the Correct Characteristic

The characteristic that specifically defines a quantitative variable is that it can assume numeric values for which arithmetic operations make sense. This is the fundamental property that distinguishes quantitative variables from categorical ones.