In many sources, for example here data is classified as being qualitative (categorical) and quantitative (numerical). Where numerical data can be continuous or discrete, and discrete can be finite or infinite.
I want to establish if a numerical, discrete and finite data can also be treated as categorical data.
I know that it depends on 'the meaning' of the data and requires some common sense analysis but I want to establish if the following statement is always true:
"Numerical, discrete and finite data can also be a categorical data"
In the classification of data the numerical data is said to have 'mathematical meaning as a measure of something'. But 'technically', without assessing the meaning of the data, it does also make them capable of being a categorical data (ordinal or not), if we strip it from mathematical meaning.
Example can be a following array of items:
Every observation has 'Energy' characteristic it can be treated as mathematical discrete and finite numerical value which can be a measurement of energy an item has. But also it can be treated as a category: two items are in 15 category, one in category 20 and two in category 25.
Thanks for confirming this.