find the lower limit of the outlier from the box and whisker plot.

-19
3

Question

find the lower limit of the outlier from the box and whisker plot.

-19
3

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Box and Whisker Plot", "Quartiles of Data", "Interquartile Range", "Outlier Limits" ], "new_concepts": [], "current_concepts": [ "Box and Whisker Plot", "Quartiles of Data", "Interquartile Range", "Outlier Limits" ] } ## Identify the five-number summary Using the **Box and Whisker Plot** and **Quartiles of Data** knowledge points $$ \begin{aligned} &\text{Minimum} = 10\ &Q_1 = 14\ &\text{Median} = 25\ &Q_3 = 36\ &\text{Maximum} = 42 \end{aligned} $$ ## Calculate the Interquartile Range Using the **Interquartile Range** knowledge point $$ \begin{aligned} \text{IQR} &= Q_3 - Q_1\ &= 36 - 14\ &= 22 \end{aligned} $$ ## Determine the lower limit for outliers Using the **Outlier Limits** knowledge point $$ \begin{aligned} \text{Lower Limit} &= Q_1 - 1.5 \times \text{IQR}\ &= 14 - 1.5 \times 22\ &= 14 - 33\ &= -19 \end{aligned} $$

(A) -19

(B) 3

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Outlier Limits" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the five-number summary

Calculate the Interquartile Range

Determine the lower limit for outliers

Answer: