Answer:
1) The median weight for shelter A is greater than that for shelter B.
True, the median weight for shelter A is 21 pounds as compared to the 18 pounds median weight for shelter B.
4) The data for shelter B are a symmetric data set.
True, the median is exactly 2 pounds away from each quartile which means it is symmetric.
5) The interquartile range of shelter A is greater than the interquartile range of shelter B.
True, the interquartile range of shelter A is 11 pounds as compared to the 4 pounds interquartile range of shelter B.
Step-by-step explanation:
We are given two box-plots, a box plot basically shows 5 statistical characteristics of a data set and they are
1. minimum value
2. Lower quartile
3. Median value
4. Upper quartile
5. Maximum value
Box-plot of dogs in shelter A:
The whiskers range from 8 to 30
Which means that the range is = 30 - 8 = 22
The box ranges from 17 to 28
Which means that the interquartile range is = 28 - 17 = 11
21 - 17 = 4
28 - 21 = 9
The median is not equal distance away from each quartile which means that the box-plot is not symmetric.
A line divides the box at 21
Which means that the median is = 21
Box-plot of dogs in shelter B:
The whiskers range from 10 to 28
Which means that the range is = 28 - 10 = 20
The box ranges from 16 to 20
Which means that the interquartile range is = 20 - 16 = 4
18 - 16 = 2
20 - 18 = 2
The median is exactly 2 pounds away from each quartile which means it is symmetric.
A line divides the box at 18
Which means that the median is = 18
Which is true of the data in the box plots?
1) The median weight for shelter A is greater than that for shelter B.
True, the median weight for shelter A is 21 pounds as compared to the 18 pounds median weight for shelter B.
2) The median weight for shelter B is greater than that for shelter A.
False
3) The data for shelter A are a symmetric data set.
False
4) The data for shelter B are a symmetric data set.
True
5) The interquartile range of shelter A is greater than the interquartile range of shelter B.
True, the interquartile range of shelter A is 11 pounds as compared to the 4 pounds interquartile range of shelter B.
= 128