Median [tex]= 6[/tex].
[tex]Q_1[/tex] or first quartile [tex]= 4[/tex].
[tex]Q_3[/tex] or third quartile [tex]= 8[/tex].
Smallest data point [tex]= 2[/tex].
largest data point [tex]= 11[/tex].
The correct box plot is shown by option C.
In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.
[tex]2,3,5,5,6,7,8,8,11[/tex]
Number of terms [tex]= 9[/tex]
Median [tex]= (\frac{9+1}{2})[/tex]th term [tex]= 5[/tex]th term [tex]= 6[/tex].
The first quartile is the median of the data points to the left of the median.
[tex]2,3,5,5[/tex]
Number of terms [tex]= 4[/tex]
Median [tex]= \frac{3+5}{2}=4[/tex]
The third quartile is the median of the data points to the right of the median.
[tex]7,8,8,11[/tex]
Number of terms [tex]= 4[/tex]
Median [tex]= \frac{8+8}{2}=8[/tex]
Smallest data point is [tex]2[/tex] and largest data point is [tex]11[/tex].
Correct box plot is shown by option [tex]C[/tex].
So, option [tex]C[/tex] is correct.
Learn more about box plot here:
https://brainly.com/question/1523909?referrer=searchResults
