Given:
The boxplot shows the poverty rates in all states of a certain country.
There are 4 regions A, B, C, and D.
Step-by-step explanation:
a) To list the region from highest to lowest median:
We know that,
The median is shown as a line in the center of the box.
Let us take the rate 12 as fixed.
The median of the region D is less than 12.
The median of the region B is immediately less than 12.
The median of region A is immediately greater than 12.
The median of region C is greater than 12.
So, let us write the region in the order,
Great, immediately great, Immediately less, less.
Thus, the region's median from highest to lowest is C, A, B, and D.
Final answer: C, A, B, and D.
b) To list the region from lowest to the highest interquartile range:
We know that,
The interquartile range is the difference between the upper quartile and the lower quartile.
So, let us see the width of the box.
Ordering it from low to high, B, D, C, and A.
Thus, the region from the lowest to the highest interquartile range is, B, D, C, and A.
Final answer: B, D, C, and A.