Question

The box plots show the weights, in pounds, of the dogs in two different animal shelters.

Weights of Dogs in Shelter A



Weights of Dogs in Shelter B




Which is true of the data in the box plots? Check all that apply.


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 for shelter A is 8.

Answer 1

*see attachment below for the box plots that is being referred to

Answer:

*The median weight for shelter A is greater than that for shelter B

*The data for shelter B are a symmetric data set

Explanation:

Let's take each stated option and examine the box plot to see which is TRUE or NOT.

OPTION 1: "The median weight for shelter A is greater than that for shelter B."

The median for shelter A = 21,

Median for shelter B = 18

Median weight for shelter A (21) is greater than that for shelter B.

This statement in this option is TRUE.

OPTION 2: "The median weight for shelter B is greater than that for shelter A."

Median for B (18) < median of A (21)

This statement in option is NOT TRUE.

OPTION 3: "The data for shelter A are a symmetric data set."

This is NOT TRUE because the length of both whiskers are unequal and also, the box is not divided equally. One side is longer than the other.

OPTION 4: "The data for shelter B are a symmetric data set."

This is TRUE because the length of both whiskers are relatively equal, and also, the rectangular box is divided equally.

OPTION 5: "The interquartile range for shelter A is 8"

This is NOT TRUE.

IQR = Q3-Q1

IQR for shelter A is approximately = 28-17 = 11