The sum and the sum of squares of length x (in cm) and weight y (in g) of 50 plant products are given below:


Which is more variable, the length or weight?


To find the more variable, we again need to compare the coefficients of variation (CV).


Here the number of products are n = 50 for length and weight both.


For length,


Mean =


Variance =


=


=


=


So, standard deviation, SD =


Therefore, the coefficient of variation of length,


CVL =


For weight,


Mean =


Variance =


=


=


=


So, standard deviation, SD =


Therefore, the coefficient of variation of length,


CVW =


Now, CVW > CVL


Therefore, the weight is more variable than height.


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