The median has the property of minimizing the sum of absolute deviations from it.

Question

Quizplus · Accepted Answer

This statement is true. The median is the middle value of a set of data when arranged in order. When calculating the sum of absolute deviations, the distance between each data point and the median is taken, and these distances can be positive or negative. However, the median minimizes the sum of absolute deviations because any other value chosen as the central value would result in greater absolute deviations.

The Median Has the Property of Minimizing the Sum of Absolute