Consider the following to answer the question(s) below:
Below is a histogram and the five-number summary for salaries (in $) for a sample of marketing managers.
-The upper and lower "fences" for a boxplot of these data are
A) $47,636 and $113,807.
B) $43,934.5 and $110,105.5.
C) $54,963 and $99,077.
D) $36,607.5 and $124,835.5.
E) $58,664.5 and $102,778.5.

Question

Consider the following to answer the question(s) below:
Below is a histogram and the five-number summary for salaries (in $) for a sample of marketing managers.  
-The upper and lower "fences" for a boxplot of these data are
A) $47,636 and $113,807. 
B) $43,934.5 and $110,105.5. 
C) $54,963 and $99,077. 
D) $36,607.5 and $124,835.5. 
E) $58,664.5 and $102,778.5.

Quizplus · Accepted Answer

The upper and lower fences for a boxplot are calculated using the interquartile range (IQR). The formula for the lower fence is Q1 - 1.5*IQR, and for the upper fence, it is Q3 + 1.5*IQR. Without the specific data or quartiles provided, we cannot calculate the exact values, but the correct method involves using these formulas, which option D seems to reflect, assuming it aligns with the given data's quartiles and IQR.

Consider the Following to Answer the Question(s) Below