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THE COEFFICIENT OF VARIATION IS INDEPENDENT OF CHANGE OF SCALE

Suppose there are two samples x₁,...,x_n and y₁,...,y_n where y_i=cx_i, i=1,2,...,n and c>0. If the respective coefficient of variation of the two samples are denoted by CV_x and CV_y then CV_x=CV_y
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THE COEFFICIENT OF VARIATION IS AFFECTED BY CHANGE OF ORIGIN

Suppose there are two samples x₁,...,x_n and y₁,...,y_n where y_i=x_i+c, i=1,2,...,n and c>0. If the respective coefficient of variation of the two samples are denoted by CV_x and CV_y, then