2. Dual "Scattered" Definition Comparison
Definition 1: Variance
0
Measures total spread away from centroid.
Definition 2: Pairwise Sum
0 units
Measures total separation between all points.
1. Variance Calculation ($s^2 = s^2_x + s^2_y$):
Centroid $(\bar{x}, \bar{y}) = ($0, 0$)$
$s^2_x = \frac{\sum(x_i - \bar{x})^2}{4} = $ 0
$s^2_y = \frac{\sum(y_i - \bar{y})^2}{4} = $ 0
Total $S^2 = $ 0
2. Total Pairwise Distance ($\sum_{i < j} d_{ij}$):
Sum of all 10 unique line lengths between dots:
$D_{total} = $ 0 units
Average distance between dots: 0 units
Point Coordinates ($100 \times 100$ Scale):