The previous cap of 30 was exceeded by over 60% of districts — mostly sparse
groups with small enrollment cells whose Agresti-Coull upper bounds genuinely
extend that far. Analysis across all 51 states (16,279 districts) showed the
median max x-value is already ~56 per 1,000; only truly degenerate cases like a
single predicted arrest in a four-student cell (~250/1000) need capping.
A cap of 100 still guards against these outliers while letting realistic data
drive the axis for the vast majority of districts. The existing 'clipped' flag
and note mechanism remain unchanged — they activate only when extreme values are
encountered.