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All the students of a class performed po...

All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace marks were given ? (1) median                               (2) mode (3) variance                             (4) mean

Text Solution

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`y= x+10 ; bar(.y) = bar (.x) + 10 `
`sigma = sqrt((sum(x- bar (.x)))/n)`
`= sqrt((sum(y- 10 - bar(.y) + 10))/n)`
`= sqrt((sum(y- bar (.y)))/n)`
variance does not change
option 3 is correct
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