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

Weights of Dogs in Shelter A
2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 28, and the box ranges from 16 to 20. A line divides the box at 18.
Weights of Dogs in Shelter B

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.

Answer :

AKPOSEVICTORGO

The statements that are TRUE regarding the box plots are:

A, D, and E.

The box plots are given in the image attached below.

The Five-number Summary Displayed by a Box Plot

The values displayed by a box plot for a given data are:

  • Median
  • Minimum
  • Maximum
  • First Quartile
  • Third Quartile

Interquartile range = Third Quartile - First Quartile.

Thus, shelter's A median is 21, shelter B's 18.

Interquartile range for shelter A = 28 - 8 = 20

Interquartile range for shelter B = 28 - 10 = 18

What is a Symmetric Data Set?

  • If a data set is symmetric, a box plot that represents the data set will have the median in the middle of the box, while both whiskers will be about the same on both sides of the box.
  • For example, the data set for shelter B is symmetric.

Therefore, the statements that are TRUE regarding the box plots are:

A, D, and E.

Learn more about box plots on:

https://brainly.com/question/14277132

View image AKPOSEVICTOR

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