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In mathematics, a variable is a representation, in the form of a letter, of a numerical value. Variables are traditionally used when the value it represents is either unknown or can vary.
A concept is an idea or an abstraction that stands for something. A concept becomes a variable when it is made operational or when it can be counted, categorized, or observed. For example, job satisfaction is a concept, but, it becomes a variable when a definition is it attached to it that makes it measurable. You may ask a married person, "how satisfied are you with your job?" If you attach levels of satisfaction to it, then it becomes a variable. All variables are concepts when you can measure the concept. However, not all concepts can be variables. A concept that is not a variable is a concept that is not measurable.
It is usually called the axis for the independent variable.
an independent variable is a thing you can change on your own. a depentent variable is a variable you depend on and a responding variable is a variable that reacts to the experiment