Step 1

The level of measurement of the variable “favorite color” is nominal level of measurement, that is, option (B). The nominal level of measurement can be classified as measurement of data where numbers are only used to classify the data and numbers do not have any quantitative meaning. The words, letters and the alpha-numeric symbols can also be used in this level of measurement.

Step 2

The option, “Ordinal” can be correct because the favorite color does not have a defined order. Similarly, the properties of ratio and interval level of measurement is not fulfilled by the variable “favorite color”.

Hence, option (B), “Nominal” is the correct level of measurement.

The level of measurement of the variable “favorite color” is nominal level of measurement, that is, option (B). The nominal level of measurement can be classified as measurement of data where numbers are only used to classify the data and numbers do not have any quantitative meaning. The words, letters and the alpha-numeric symbols can also be used in this level of measurement.

Step 2

The option, “Ordinal” can be correct because the favorite color does not have a defined order. Similarly, the properties of ratio and interval level of measurement is not fulfilled by the variable “favorite color”.

Hence, option (B), “Nominal” is the correct level of measurement.