Question

This quantity is approximated via the convergence of iteratively reweighted least squares in Weiszfeld’s algorithm. In image processing, salt-and-pepper noise is effectively reduced by a nonlinear filter named for this quantity. Two subproblems have size one-fifth n and seven-tenths n in the recurrence of an algorithm that computes this quantity. Using two heaps computes this quantity for a stream input in a problem about its “maintenance.” This quantity appears twice in the name of an (*) pivot-finding algorithm that runs in asymptotically worst-case linear time. The optimal runtime of quicksort occurs when the pivot always equals this value of the subarray. (10[1])One way to find this quantity is to sort an array and get the element at index closest to half the array length. For 10 points, (10[1])name this quantity equal (10[1])to the 50th percentile of a data set. ■END■

ANSWER: median [accept middle; accept geometric median; accept median filter; accept median-of-medians; accept median maintenance problem]
<Science - Other Science - Math>
= Average correct buzz position

Back to tossups

Buzzes

PlayerTeamOpponentBuzz PositionValue
Eshan Pantjust one more half-dot broWalston et. al.9910
Zaid Asif12 Litres of Green TeaCope is the thing with feathers12510
Sky HongNJ TRANSit (and anwenjeff mcneil #1 morningside heights fan club12910

Summary

2024 ARGOS @ Chicago11/23/2024Y6100%33%33%102.67
2024 ARGOS @ Columbia11/23/2024Y3100%0%0%117.67