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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 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?

Text Solution

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Coefficient of variation in maths
`=(sigma)/x xx 100=12/42xx100=28.57`
Coefficient of variation in physics
`=(sigma)/x xx 100=15/32xx100=46.875`
Coefficient of variation in chemistry
`=(sigma)/x xx 100=20/40.9xx 100=48.89`
Therefore, chemistry shows highest variability and maths shows lowest variability.
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