Centroid and Median in Polarized Population
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This example demonstrates the concepts of centroid and median in a polarized population. By constructing a triangle, it illustrates the relationship between the centroid and median. It uses Segment and Text commands in GeoGebra, suitable for high school math education.
GeoGebra Commands & Parameters
LaTeX("minimize_{x,y} f(x,y) = \sum_{i=1..n} \sqrt{(x-x_i)^2+(y-y_i)^2}= ") → txtlabelSegment(P_{0}, FP) → S_{0}Segment(P_{1}, FP) → S_{1}Segment(P_{2}, FP) → S_{2}Segment(P_{3}, FP) → S_{3}Segment(P_{4}, FP) → S_{4}Segment(P_{5}, FP) → S_{5}Segment(P_{6}, FP) → S_{6}Segment(P_{7}, FP) → S_{7}Segment(P_{8}, FP) → S_{8}Segment(P_{9}, FP) → S_{9}Segment(P_{10}, FP) → S_{10}Segment(P_{11}, FP) → S_{11}Segment(P_{12}, FP) → S_{12}Segment(P_{13}, FP) → S_{13}Segment(P_{14}, FP) → S_{14}Segment(P_{15}, FP) → S_{15}Segment(P_{16}, FP) → S_{16}Segment(P_{17}, FP) → S_{17}Segment(P_{18}, FP) → S_{18}Segment(P_{19}, FP) → S_{19}Segment(P_{20}, FP) → S_{20}Segment(P_{21}, FP) → S_{21}Segment(P_{22}, FP) → S_{22}Segment(P_{23}, FP) → S_{23}Segment(P_{24}, FP) → S_{24}Text(totLen, PTXT) → txtlen