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


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.

PLS HURRY WILL GIVE BRAINLIESTThe box plots show the weights in pounds of the dogs in two different animal sheltersWhich is true of the data in the box plots Se class=

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Answer:

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

Step-by-step explanation:

In statistics, a box plot is a graphic method to display the quartiles of a distribution, where the line inside the body refers to the median.

So, in this case, you can observe that the median of shelter A is 21, and the median of shelter B is 18. That means the median of shelter A is greater than the median of shelter B.

Therefore, the right answer is first choice:

  • The median weight for shelter A is greater than that for shelter B.

Box plot shows 5 description of the data set it is representing. The true statements for the given data sets' box plots are:

  • The data for shelter A are a symmetric data set.
  • The interquartile range of shelter A is greater than the interquartile range of shelter B.

How does a boxplot shows the  data points?

A box plot has 5 data description.

  • The leftmost whisker shows the minimum value in the data.
  • The rightmost whisker shows the maximum value in the data.
  • The leftmost line in the box shows the first quartile.
  • The middle line shows the median, also called second quartile.
  • The last line of the box shows the third quartile.

How to find the interquartile range?

IQR(inter quartile range)  is the difference between third and first quartile.

For the given data set, we see that the middle line of first graph is right to the middle line of the lower graph, thus, Median of B < Median of A (18 < 22) (since as we go right, the magnitude of numbers increases)

Data is symmetric if the median is in the mid of the box plot and the box is mid to the line connecting both whiskers(since then the frequencies are more likely to be distributed symmetric to the middle).

Thus, B is symmetric but A isn't

  • IQR of A = Q3 - Q1 = 28 - 17 = 11
  • IQR of B = Q3 - Q1 = 20 - 16 = 4

Thus, IQR A > IQR B (here Q3 is third quartile and Q1 is first quartile).

Thus, the correct statements for the given box plots is:

  • The data for shelter A are a symmetric data set.
  • The interquartile range of shelter A is greater than the interquartile range of shelter B.

Learn more about box plot here:

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