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The mean and standard deviation of marks obtained by students of a class in three subjects, Mathematics, Physics and Chemistry are given below. Which of the three subjects shows the highest variability in marks and which shows the lowest?

We are given,

The mean and standard deviation of Mathematics are and respectively.

The mean and standard deviation of Physics are and respectively.

The mean and standard deviation of Chemistry are and respectively.

Also, we know that coefficient of variation is,

   

Now,

C.V in Mathematics

   

   

C.V in Physics

   

   

C.V in Chemistry

   

   

Therefore, out of the three subjects the highest variability in marks is in Chemistry and the highest variability in marks is in Mathematics.