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{ "quality": "incomplete", "question_count": 1, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Frequency Distribution", "Data Tallying" ], "new_concepts": [], "current_concepts": [ "Frequency Distribution", "Data Tallying" ] } ## Count occurrences of each model Using the *Data Tallying* knowledge point $$ \begin{aligned} &\text{Model A}: \text{Row 1 (Col 1, Col 4), Row 3 (Col 2, Col 5)} \implies 4\ &\text{Model B}: \text{Row 1 (Col 6), Row 2 (Col 1), Row 3 (Col 6)} \implies 3\ &\text{Model C}: \text{Row 1 (Col 2, Col 3), Row 2 (Col 4), Row 3 (Col 3, Col 7)} \implies 5\ &\text{Model D}: \text{Row 1 (Col 5, Col 7), Row 2 (Col 2, Col 3, Col 6), Row 3 (Col 4)} \implies 6\ &\text{Model E}: \text{Row 2 (Col 5, Col 7), Row 3 (Col 1)} \implies 3 \end{aligned} $$ ## Construct the frequency distribution Using the *Frequency Distribution* knowledge point $$ \begin{aligned} &\text{Total observations} = 4 + 3 + 5 + 6 + 3 = 21\ &\text{Grid size} = 3 \text{ rows} \times 7 \text{ columns} = 21 \end{aligned} $$ | Model | Frequency | |---|---| | A | 4 | | B | 3 | | C | 5 | | D | 6 | | E | 3 | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Frequency Distribution" ] }

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Count occurrences of each model

Construct the frequency distribution

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