find the lower and upper limits of outliers from the box and whisker plot.

lower limit of the outlier = -19, upper limit of the outlier = 69
lower limit of the outlier = 2, upper limit of the outlier = 48

Question

find the lower and upper limits of outliers from the box and whisker plot.

lower limit of the outlier = -19, upper limit of the outlier = 69
lower limit of the outlier = 2, upper limit of the outlier = 48

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": [ "Interquartile Range", "Measures of Spread" ], "new_concepts": [ "Outlier Limits", "Box and Whisker Plot" ], "current_concepts": [ "Interquartile Range", "Measures of Spread", "Outlier Limits", "Box and Whisker Plot" ] } ## Identify quartiles from the plot Using the *Measures of Spread* knowledge point $$ \begin{aligned} Q_1 &= 14 \ Q_3 &= 36 \end{aligned} $$ ## Calculate the Interquartile Range Using the *Interquartile Range* knowledge point $$ \text{IQR} = Q_3 - Q_1 = 36 - 14 = 22 $$ ## Determine the lower limit of outliers $$ \begin{aligned} \text{Lower Limit} &= Q_1 - 1.5 \times \text{IQR} \ &= 14 - 1.5 \times 22 \ &= 14 - 33 \ &= -19 \end{aligned} $$ ## Determine the upper limit of outliers $$ \begin{aligned} \text{Upper Limit} &= Q_3 + 1.5 \times \text{IQR} \ &= 36 + 1.5 \times 22 \ &= 36 + 33 \ &= 69 \end{aligned} $$

(A) Lower limit of the outlier = -19, Upper limit of the outlier = 69

(B) Lower limit of the outlier = 2, Upper limit of the outlier = 48

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify quartiles from the plot

Calculate the Interquartile Range

Determine the lower limit of outliers

Determine the upper limit of outliers

Answer: