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Great question for concept.
Answer should b E.
A. Can change the median...
We are Reducing the highest value here... this could change the median
1,2,3 - Divide 3/2 - 1.5
B. Can change the median...between 0 and 1 (not inclusive) square roots are bigger than the squares...
So if 1st term is 0.01, square root will be 0.1... (or can be -0.1 ) but in this case positive will increase the first term.
C. Squaring last term can change the median.
Same logic as above... if last term is 0.1 it will become smaller..
D. Doubling last term... Can change
I was stuck here for a moment, but remember it can be negative too..
doubling a negative term decreases its value...
Example : -4 , -3, -2 .. double -2 becomes -4... New set is -4, -4, -3.. median is changed...
E. Here you are increasing the largest term.. so here no change on median..
Answer E.