Square units measure area.
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Yes.
Measurable data is data that can be measure by a quantity. Measurable data is also known as quantitative data.
The data collected does not have to be measurable.
The correct spelling is measurable and not measureable.
Possibly under certain conditions, but not generally. Consider a nonmeasurable set A, and define f(x) = 1 if x in A 0 otherwise. Then {1} is certainly measurable but the inverse image {x | f(x) = 1} = A is not measurable.