Question

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

Explanation:

Step1: Identify median from box - plot

The line inside the box of a box - plot represents the median. For shelter A, the median is around 20. For shelter B, the median is around 18. So the median weight for shelter A is greater than that for shelter B.

Step2: Check symmetry

The data for shelter A is not symmetric as the length of the box and whiskers on either side of the median are not equal. The data for shelter B is also not symmetric.

Step3: Calculate inter - quartile range (IQR)

The IQR is the length of the box in a box - plot. For shelter A, the lower quartile ($Q_1$) is around 16 and the upper quartile ($Q_3$) is around 24, so $IQR_A=24 - 16=8$. For shelter B, $Q_1$ is around 14 and $Q_3$ is around 20, so $IQR_B=20 - 14 = 6$. The inter - quartile range of shelter A is greater than the inter - quartile range of shelter B.

Answer:

The median weight for shelter A is greater than that for shelter B.
The inter - quartile range of shelter A is greater than the inter - quartile range of shelter B.