JEE MATHEMATICS MCQ: STATISTICS

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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?

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Correct option: D

Variance

Option D (Variance) is correct because adding a constant to all data points does not change the variance, as the spread of the data remains the same.

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If the mean of a set of observations

{x_1},{x_2}, \ldots ,{x_n}

\bar X,

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{x_i} + 2\;i;i = 1,\;2, \ldots ,n

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1,3,5, x, y

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the s.d. of the new set of observations will be