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.