JEE Main 2013 Mathematics question

MathematicsStatisticsJEE Main 2013

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 ?

Answer: (2)

Solution

Adding a constant k to all values shifts mean, median, mode by k but variance remains unchanged since it depends on deviations from mean.

Question ID VK-000867