the box plot below represents some data set. what is the interquartile range (iqr) of the data?

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Box Plot Interpretation" ], "new_concepts": [ "Interquartile Range Calculation" ], "current_concepts": [ "Box Plot Interpretation", "Interquartile Range Calculation" ] } ## Identify the first quartile $Q_1$ and third quartile $Q_3$ $$ \begin{aligned} Q_1 &= 24 \ Q_3 &= 35 \end{aligned} $$ ## Calculate the interquartile range (IQR) $$ \begin{aligned} \text{IQR} &= Q_3 - Q_1 \ \text{IQR} &= 35 - 24 \ \text{IQR} &= 11 \end{aligned} $$ 11 { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Statistics", "Box Plot Interpretation" ] }

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Explanation:

Identify the first quartile \(Q_1\) and third quartile \(Q_3\)

Calculate the interquartile range (IQR)

Answer: