how to solve question no 5 of page 376 stat of class 11 explain in a easy way

In the said question we have been provided with the sum and sum of squares corresponding to length x (in cm) and weight y

(in gm) of 50 plant products and we have to find, out of length and weight which has more variance?

So, for doing it we will calculate coefficient of variation  which is defined as:

Now, firstly we will find the coefficient of variation for length as:

Similarly, we will find coefficient of variation for weight and compare them. The quantity which has greater coefficient of variation will be more variable.

Therefore,

Now, coefficient of variation for weight (26.24) > coefficient of variation for length (6.13).

So, weight of the plant products will vary more as compared to that of their lengths.

Hope you get it!!