{"id": "card_stats_normal_law", "kind": "reference", "title": "The normal law — the central limit theorem", "body": "Sum or average enough independent things, whatever their shapes, and the result tends to the SAME bell curve, and the standard error shrinks as sigma/sqrt(n) (sealed). Many possibilities converging to one form. Rests on the capstone.", "source": {"label": "Narrow Highway — statistics", "url": "", "authority_tier": "engine_derived"}, "shelf": "codex", "box": "statistics", "bands": ["statistics", "pillar", "normal_law", "one map"], "subject": "The normal law — the central limit theorem", "connections": [{"to_card_id": "card_floor_statistics", "relationship": "part_of", "evidence": "a pillar of statistics (The normal law)"}, {"to_card_id": "card_floor_the_capstone", "relationship": "connects_at", "evidence": "the central limit theorem is many-into-one; a distribution integrates to one"}], "author": "engine", "created_at": 0.0, "updated_at": 0.0, "visibility": "public", "lifecycle_stage": "public", "volatility": "permanent", "surface": "secular", "generated": false, "call": "codex.statistics", "facets": {"subject": ["normal_law", "one map", "pillar"]}, "presentation": {"glyph": "•", "kind_label": "statistics", "by": "Narrow Highway — statistics", "authority": "engine_derived", "posted": "", "standing": ""}, "neighbors": [{"id": "card_floor_statistics", "title": "Statistics — the normal law and the method of science", "relationship": "part of", "why": "a pillar of statistics (The normal law)", "href": "/card/card_floor_statistics", "resolved": true}, {"id": "card_floor_the_capstone", "title": "The capstone — one source, many potentials, one end", "relationship": "connects at", "why": "the central limit theorem is many-into-one; a distribution integrates to one", "href": "/card/card_floor_the_capstone", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_stats_normal_law", "next_step": {"do": "follow a connection: what this card rests on, and what rests on it", "door": "FIND", "tool": "card_connections", "params": {"id": "card_stats_normal_law"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}