All the students of a class performed poorly in physics. The teacher decided to give grace marks of 15 to the entire class. Which of the following…

Question

All the students of a class performed poorly in physics. The teacher decided to give grace marks of 15 to the entire class. Which of the following statistical measures will not change even after the grace marks were given?

MARKS Content Team · Accepted Answer

Correct answer: (C) variance. Variance is not changed by the change of origin. σ=√(∑x-x-^2n). Therefore, y=x+15⇒y-=x-+15 σ_1=√(∑y+15-y--15^2n)=√(∑y-y-^2n)=σ.

All the students of a class performed poorly in physics. The teacher decided to give grace marks of $15$ to the entire class. Which of the following statistical measures will not change even after the grace marks were given?

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