Which description matches ratio scales?

Which description matches ratio scales?

• A. Variables are ordered precisely and continuously, measures are of equal distance, no meaningful zero value
• B. Ordered categories with nonuniform intervals
• C. Categorical data with ordering
• D. Values that have a true zero and allow multiplication/division

Answer: (A)

Ratio scales are defined by two key features: equal intervals between neighboring values and a true zero that represents the absence of the quantity. With a true zero, ratios are meaningful—you can say that one value is twice another, or three times as much, etc. The description that matches this is the one stating both a true zero and the ability to multiply or divide values. That combination lets you compare magnitudes in a proportional way, not just in order or spacing. If a description says there’s no meaningful zero, that points to an interval scale, where you know the order and the equal spacing, but you can’t meaningfully form ratios to zero. Examples of ratio data include height, weight, distance, and duration measured on a scale with true zero (like Kelvin temperature).

Ratio scales are defined by two key features: equal intervals between neighboring values and a true zero that represents the absence of the quantity. With a true zero, ratios are meaningful—you can say that one value is twice another, or three times as much, etc. The description that matches this is the one stating both a true zero and the ability to multiply or divide values. That combination lets you compare magnitudes in a proportional way, not just in order or spacing.

If a description says there’s no meaningful zero, that points to an interval scale, where you know the order and the equal spacing, but you can’t meaningfully form ratios to zero. Examples of ratio data include height, weight, distance, and duration measured on a scale with true zero (like Kelvin temperature).