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# Average Dependencies Distribution Bar Chart
**Chapter:** 06 - Learning Graph Quality Validation
**Generator:** chartjs-generator
**Match Score:** 98/100
**Difficulty:** Medium
## Specification
<summary>Average Dependencies Distribution Bar Chart</summary>
Type: chart
Chart type: Histogram (bar chart)
Purpose: Show distribution of prerequisite counts across all concepts in the learning graph
X-axis: Number of prerequisites (0, 1, 2, 3, 4, 5, 6, 7, 8+)
Y-axis: Number of concepts
Data (example for 200-concept graph):
- 0 prerequisites: 12 concepts (foundational)
- 1 prerequisite: 45 concepts
- 2 prerequisites: 58 concepts
- 3 prerequisites: 42 concepts
- 4 prerequisites: 25 concepts
- 5 prerequisites: 12 concepts
- 6 prerequisites: 4 concepts
- 7 prerequisites: 2 concepts
- 8+ prerequisites: 0 concepts
Title: "Prerequisite Distribution Across Learning Graph"
Calculated metrics displayed below chart:
- Total concepts: 200
- Total dependencies: 620
- Average dependencies: 3.1 per concept
- Median: 2
- Mode: 2
Annotations:
- Shaded region (2-4 prerequisites) in light green labeled "Optimal Range"
- Average line (vertical) at 3.1 in blue
- Callout: "84% of concepts in optimal range (1-5 prerequisites)"
Color scheme: Gold bars with green shading for optimal range
Implementation: Chart.js bar chart with annotations
