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Which level of measurement consist of categories only where data Cannot be arranged in an order scheme?

Nominal - data consists of names, labels or categories only. The data cannot be arranged in an ordering scheme (such as low to high).

What level of measurement Cannot be ordered?

With nominal level of measurement, no meaningful order is implied. This means we can re-order our list of variables without affecting how we look at the relationship among these variables. Here are some examples of nominal level data: The number on an athlete's uniform.

What level of measurement involves data that may be arranged in some order?

Data are at the ordinal level of measurement if they can be arranged in some order, but differences between values either cannot be determined or are meaningless.

Is the level of measurement where data are classified into categories and the order of those categories is not important?

In a nominal level variable, values are grouped into categories that have no meaningful order. For example, gender and political affiliation are nominal level variables.