What is the largest value of the extended median if the voters' ideal points are 2, 2, 4, 4, 6, 8, 8, 8, 10, 10?

Question

Quizplus · Accepted Answer

The extended median is the point in the data where the sum of the distances to the left and right points is minimized. In this case, the middle value is 6, and the distances to the left and right are 4 and 4, respectively. Therefore, the extended median is 6, which is the largest value in the dataset that satisfies this condition. Therefore, the answer is (C) 8.

What Is the Largest Value of the Extended Median If