All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of to each of the students. Which of the following statistical measures will not change even after the grace marks were given?
- Amedian
- Bmode
- Cvariance
- Dmean
Solution & Step-by-step Explanation
Adding a constant to every value in a dataset is a "change of origin."Mean, Median, and Mode all increase by that constant.Measures of dispersion (Range, Mean Deviation, Standard Deviation, Variance) are independent of the change of origin.Therefore, the variance remains unchanged.