Question: Consider distinct items x1, x2, ..., xn with positive weights w1, w2, ..., wn such that Pn i=1 wi = 1.0. The weighted median is

Consider distinct items x1, x2, ..., xn with positive weights w1, w2, ..., wn such that Pn i=1 wi = 1.0. The weighted median is the item xk that satisfies P xixk wj 0.5. (a) Show how to compute the weighted median of n items in worst-case time (nlogn) using sorting. (b) Show how to compute the weighted median in worst-case time (n) us- ing a linear-time median algorithm.

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