An alternative method for finding the median is to find the root of the equation                    g(a) = N i=1 |Xi − a| = 0. (a) What root-finding methods might be appropriate for this problem? (b)...

An alternative method for finding the median is to find the root of the equation

                   g(a) = N i=1 |Xi − a| = 0.

(a) What root-finding methods might be appropriate for this problem?

(b) Can you take care of the problem of multiple roots as a function of N being even or odd?

 (c) Code a routine following this approach and compare it to fstmed.