the box-and-whisker plot shows the science test scores of mrs. emilys students.
science test scores (%)
which of the following is true about the distribution shape?
symmetric

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "direct_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Box Plot Symmetry", "Data Distribution Shape", "Symmetric Distribution" ], "new_concepts": [], "current_concepts": [ "Box Plot Symmetry", "Data Distribution Shape", "Symmetric Distribution" ] } ## Identify the five-number summary from the box plot Using the **Box Plot Symmetry** and **Data Distribution Shape** knowledge points $$ \begin{aligned} &\text{Minimum} = 60 \ &\text{Lower Quartile } (Q_1) = 70 \ &\text{Median } (Q_2) = 80 \ &\text{Upper Quartile } (Q_3) = 90 \ &\text{Maximum} = 100 \end{aligned} $$ ## Analyze the symmetry of the distribution Using the **Symmetric Distribution** knowledge point $$ \begin{aligned} &Q_2 - Q_1 = 80 - 70 = 10 \ &Q_3 - Q_2 = 90 - 80 = 10 \ &\text{Left whisker length} = Q_1 - \text{Minimum} = 70 - 60 = 10 \ &\text{Right whisker length} = \text{Maximum} - Q_3 = 100 - 90 = 10 \end{aligned} $$ Since the median is exactly in the middle of the box and both whiskers are of equal length, the distribution is symmetric.

Symmetric

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Box Plot Symmetry" ] }

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Question

Explanation:

Identify the five-number summary from the box plot

Analyze the symmetry of the distribution

Answer: