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{ "quality": "blurry", "question_count": 2, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Five-Number Summary" ], "new_concepts": [], "current_concepts": [ "Five-Number Summary", "Box-and-Whisker Plot" ] } ## Sort the dataset Using the *Five-Number Summary* knowledge point $$ \begin{aligned} &\text{Raw data: } 48, 66, 29, 87, 96, 94, 16, 29, 87, 79\ &\text{Sorted data: } 16, 29, 29, 48, 66, 79, 87, 87, 94, 96\ &n = 10 \end{aligned} $$ ## Find the minimum value Using the *Five-Number Summary* knowledge point $$ \text{Min} = 16 $$ ## Calculate the first quartile Using the *Five-Number Summary* knowledge point $$ \begin{aligned} &\text{Lower half: } 16, 29, 29, 48, 66\ &Q_1 = \text{Median of lower half} = 29 \end{aligned} $$ ## Question 1 (a) Min = 16 ## Question 2 $Q_1 =$ 29 { "elements": [ { "type": "segment", "params": [[16, 2], [29, 2]], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 2 } }, { "type": "segment", "params": [[87, 2], [96, 2]], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 2 } }, { "type": "polygon", "params": [[29, 1], [87, 1], [87, 3], [29, 3]], "properties": { "fillColor": "rgba(140, 85, 242, 0.3)", "strokeColor": "#8C55F2", "strokeWidth": 2 } }, { "type": "segment", "params": [[72.5, 1], [72.5, 3]], "properties": { "strokeColor": "#F2557F", "strokeWidth": 3 } }, { "type": "point", "params": [[16, 2]], "properties": { "name": "Min: 16", "size": 3, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[29, 2]], "properties": { "name": "Q1: 29", "size": 3, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[72.5, 2]], "properties": { "name": "Med: 72.5", "size": 3, "color": "#F2557F", "withLabel": true } }, { "type": "point", "params": [[87, 2]], "properties": { "name": "Q3: 87", "size": 3, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[96, 2]], "properties": { "name": "Max: 96", "size": 3, "color": "#8C55F2", "withLabel": true } } ], "timestamps": [0.5] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Five-Number Summary" ] }

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Explanation:

Sort the dataset

Find the minimum value

Calculate the first quartile

Answer:

Question 1

Question 2