Gini
drag the distribution. feel what one number is compressing.
bend the Lorenz curve by hand and watch the Gini climb — then load real countries
Line everyone up from poorest to richest and plot what share of total income the poorest slice holds, then the poorest two slices, and so on. Perfect equality traces a straight diagonal — the poorest 10% hold exactly 10% of income. Real economies bow away from that line, because the poorest slices hold less than their share and the richest slice holds far more. The Gini coefficient is just the size of that bow: twice the area between the curve and the diagonal, folded into a single number between 0 and 1. It is not a mysterious statistic. It is a shape, compressed.
Concepts: inequality, statistics.
An interactive you play with one thumb, on Wundr.