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The mean and standard deviation of marks...

The mean and standard deviation of marks obtained by 50 students of a class in there subjects, mathematics, physics and chemistry are given below: Subject Mathematics Physics Chemistry Mean 42 32 40.9 Standard Deviation 12 15 20 Which of the three subjects shows the highest variability in marks and which shows the lowest?

Text Solution

Verified by Experts

Here, we will calculate coefficient of variation which is given by,
`C.V. = (S.D.)/(barX)**100`
Here, `S.D.` is the standard deviation and `barX` is the mean.
`:.` Coefficient of variation for Mathematics `= 12/42**100 = 200/7 = 28.57`
Coefficient of variation for Physics`= 15/32**100 = 375/8 =46.875`
Coefficient of variation for Chemistry`= 20/40.9**100 ~= 49`
As coefficient of variation for Chemistry is highest, it shows highest variability.
As coefficient of variation for Mathematics is lowest, it shows lowest variability.
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