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For a direct variation equation the constant MUST be 0. Then the ratio of a pair of values of the two variables is the slope.
A variation can mean something that is slightly different from similar items of its type (also a variant or variety).It can also apply to a difference itself (e.g. a variation in temperature).In mathematics, variation is the function that compares values among variables.In music, a variation is an altered form, or one of several versions with a common theme.
The standard deviation is a measure of how much variation there is in a data set. It can be zero only if all the values are exactly the same - no variation.
It is the median