Answer:
The median weight for shelter A is greater than that for shelter B.
The data for shelter B are a symmetric data set.
The interquartile range of shelter A is greater than the interquartile range of shelter B.
Step-by-step explanation:
Let's examine each of the statements and compare it with the data plotted on the box plot to determine whether they are true or not.
Option 1: The median weight for shelter A is greater than that for shelter B.
This is TRUE
Rationale:
Median for shelter A = 21
Median for shelter B = 18
Option 2: The median weight for shelter B is greater than that for shelter A.
This is NOT TRUE.
Rationale:
Since option 1 is true, option 2 must be false. Shelter A median is greater than that for shelter B.
Option 3: The data for shelter A are a symmetric data set.
This IS NOT TRUE.
Rationale:
The box plot does not show that the data for shelter A are evenly distributed.
Option 4: The data for shelter B are a symmetric data set.
This is TRUE.
Rationale:
The data appear to be evenly distributed for shorter B.
Option 5: The interquartile range of shelter A is greater than the interquartile range of shelter B.
This is TRUE.
Rationale:
Interquartile range of shelter A = 28 - 17 = 11
Interquartile range of shelter B = 20 - 16
