Which among the following are correct statements about an independent variable?
A. It can have at most two levels.
B. It can have any number of levels.
C. It can be a qualitative variable.
D. It can be a quantitative variable.
Choose the correct answer from the options given below:
B, C and D only
An independent variable is the factor the researcher deliberately manipulates or classifies in order to observe its effect on the dependent variable. Its "levels" are simply the distinct categories or values it can take in a study. Understanding what an independent variable can be answers each statement.
The statement that it can have any number of levels is correct. A study may compare just two conditions (treatment versus control), or three (low, medium, high dose), or many more; the number is decided by the research design, not by any fixed ceiling.
The statement that it can be a qualitative (categorical) variable is correct. Gender, teaching method, brand, or type of therapy are all valid independent variables even though they are named categories rather than numbers.
The statement that it can be a quantitative variable is also correct. Dosage in milligrams, temperature, hours of study, or age are numeric independent variables.
The statement claiming an independent variable can have at most two levels is false — this is the only wrong statement. Restricting it to two levels would rule out common designs like low/medium/high, so this claim is untrue. That is exactly why the combination limited to at most two levels together with the qualitative claim and the pairing of at most two levels with any-number-of-levels (which are mutually contradictory) both fail, and the all-four option fails because it still includes the false two-level claim.
Only the three genuinely true statements survive, so the answer is B, C and D only.
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