question_answer

If y = f(x) be a monotonically increasing or decreasing function of x and M is the median of variable x, then the median of y is

A) f(M)                 

B) M/2

C) f'(M)                            

D) None

Correct Answer: A

Solution :

        Since, \[{{x}_{1}}<{{x}_{2}}\Rightarrow f({{x}_{1}})<f({{x}_{2}})\]if\[{{x}_{1}},{{x}_{2}},---,{{x}_{n}}\] are in ascending order \[\Rightarrow \]\[f({{x}_{1}}),f({{x}_{2}}),---f({{x}_{n}})\] are also in ascending order. If M is the median along x, then f (M) is the median along y