Question

which is true of the data in the box plots? select three choices.
o the median weight for shelter a is greater than that for shelter b.
o the median weight for shelter b is greater than that for shelter a.
o the data for shelter a are a symmetric data set.
o the data for shelter b are a symmetric data set.
o the interquartile range of shelter a is greater than the interquartile range of shelter b.

Explanation:

Step1: Analyze median

The median is the middle line in the box - and - whisker plot. By observing the box plots, we can see that the median of shelter A is greater than that of shelter B.

Step2: Analyze data symmetry

For a symmetric data set, the median is in the middle of the box, and the whiskers are approximately of equal length. Shelter B's box plot is symmetric (the median is in the middle of the box and the whiskers are balanced), while shelter A's is not.

Step3: Analyze inter - quartile range (IQR)

The inter - quartile range is the length of the box. The box (IQR) of shelter A is longer than that of shelter B.

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.