Which variable type can be measured to any level of precision?

Which variable type can be measured to any level of precision?

• A. Discrete
• B. Binary
• C. Nominal
• D. Continuous

Answer: (D)

The main idea here is how precisely a variable can be quantified, which depends on whether it is continuous or discrete. Discrete variables have distinct, separate values (often counting items), so there’s a finite jump between possible values. A binary variable is a special case of discrete with only two values, like yes/no. Nominal variables are categories without any inherent order, so they aren’t measured on a numeric scale at all. A continuous variable, on the other hand, can take on an infinite number of values within a range, so you can measure it to any level of precision with the right instrument. For example, height can be reported as 170 cm, 170.2 cm, 170.23 cm, and so on. Although real instruments have limits, the concept of continuous variables is that they can be measured with arbitrarily fine precision. Therefore, continuous is the type that can be measured to any level of precision.

The main idea here is how precisely a variable can be quantified, which depends on whether it is continuous or discrete. Discrete variables have distinct, separate values (often counting items), so there’s a finite jump between possible values. A binary variable is a special case of discrete with only two values, like yes/no. Nominal variables are categories without any inherent order, so they aren’t measured on a numeric scale at all. A continuous variable, on the other hand, can take on an infinite number of values within a range, so you can measure it to any level of precision with the right instrument. For example, height can be reported as 170 cm, 170.2 cm, 170.23 cm, and so on. Although real instruments have limits, the concept of continuous variables is that they can be measured with arbitrarily fine precision. Therefore, continuous is the type that can be measured to any level of precision.