Which choice below is a boxplot for the following distribution? 67, 66, 64, 62, 60, 56, 54, 50, 46, 42, 41, 40, 40, 38, 35, 21, 19

Answer:Option E - Box plot EStep-by-step explanation:Given : Data, 67, 66, 64, 62, 60, 56, 54, 50, 46, 42, 41, 40, 40, 38, 35, 21, 19To find : Which choice below is a boxplot for the following distribution?Solution : Step 1- Arranging the data from lowest to highest, {19,21,35,38,40,40,41,42,46,50,54,56,60,62,64,66,67}  Step 2 - Find the median of the data  As the data is odd numbers so the median is [tex]\frac{n+1}{2}[/tex] th term. [tex]\frac{n+1}{2}=\frac{17+1}{2}=9th[/tex] term. 9th term is 46 ∴ [tex]Q_2=46[/tex]  Step 3 - To find Upper quartile and lower quartile  Lower quartile data set is the median of the upper terms from median {19,21,35,38,40,40,41,42} Median of the set is [tex]M=\frac{38+40}{2}=39[/tex]∴ [tex]Q_1=39[/tex]  Upper quartile data set is the median of the lower terms from median { 50,54,56,60,62,64,66,67} Median of the set is [tex]M=\frac{60+62}{2}=61[/tex]∴ [tex]Q_3=61[/tex]  We have plot the box plot attached below.Our box plot is matched with Box plot E.Therefore, Option E is correct.