Which level of measurement consists of categories only where data cannot be arranged in an ordering scheme?

Nominal level of measurement is the one where data cannot be arranged in an ordering scheme.

Explanation:

This Nominal measurement level is generally characterized by various data that consist of categories of various types, labels of various kinds and also names.

The data that are involved in this type of measurement usually cannot be arranged in an orderly manner or in an ordering scheme.

One of the best example of these type of measurement includes survey responses such as choosing between Yes or No or sometimes undecided.

Thus we can consider nominal level measurement as the answer.