In which type of scale can you perform multiplication and division operations?

The ratio scale is the correct answer because it possesses a true zero point and the properties of all the other scales, which allows for meaningful interpretation of ratios. This means you can perform multiplication and division operations reliably. For example, if you measure height in meters, saying one person is twice as tall as another makes sense because the scale legitimately represents the absence of height (zero) and allows for comparisons that involve these operations.

In contrast, while the interval scale allows for meaningful addition and subtraction due to consistent differences between values, it does not have a true zero point. This means that saying one temperature is twice as hot as another does not hold true in the context of temperature measured in degrees Celsius or Fahrenheit. The ordinal scale ranks items but does not provide information about the magnitude of differences, making multiplication and division operations inappropriate. Lastly, the categorical scale (nominal) simply categorizes data without a numeric basis for any mathematical operations.