Answer:
The answer is below
Step-by-step explanation:
We are asked to create a box plot. To create a box plot, we need to determine the minimum point, maximum point, lower quartile, upper quartile, interquartile range, median.
First we have to arrange the data in ascending order. This gives:
85, 150, 180, 200, 210, 250, 450
The minimum point = 85
The maximum = 450
[tex]Median=\frac{2}{4}(n+1)^{th}term=\frac{2}{4}(7+1)=4^{th}\ term=200\\\\Median=200 \\\\Lower\ quartile(Q_1)=\frac{1}{4}(n+1)^{th}term=\frac{1}{4}(7+1)=2^{nd}\ term=150\\\\Lower\ quartile(Q_1)=200 \\\\Upper\ quartile(Q_3)=\frac{3}{4}(n+1)^{th}term=\frac{3}{4}(7+1)=6^{th}\ term=250\\\\Upper\ quartile(Q_3)=250 \\\\Interquartile\ range=Q_3-Q_1=250-150=100[/tex]