Question

HELP ME

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 18, and the box ranges from 16 to 20. A line divides the box at 18.
Weights of Dogs in Shelter B

One-half of the dogs in each shelter are between which weights?
between 8 and 30 pounds in shelter A; between 10 and 28 pounds in shelter B
between 8 and 17 pounds in shelter A; between 10 and 16 pounds in shelter B
between 21 and 30 pounds in shelter A; between 18 and 28 pounds in shelter B
between 28 and 30 pounds in shelter A; between 20 and 28 pounds in shelter B

Answer 1

Its actually C: between 21 and 30 pounds in shelter A; between 18 and 28 pounds in shelter B

Explanation:

edg2020

Box and whiskerplots work in a way that from min to LQ1 is 25% of the data. From LQ1 to the median, it is 50% of the data. So in shelter A, from 8 to 21, and from 21 to 30, those are the two halfs of that data. for shelter B its 10 to 18 and 18 to 28.

The question is asking for one-half of dogs in each shelter. A is incorrect because 8 to 30 is 100% of dogs in shelter a. B is incorrect because 8 to 17 is only 25%. Though 10 to 16 is shleter b is also 35%, and together they make 50%, the questions asks "IN EACH SHELTER", so B is also incorrect.

D is wrong because it only takes the median to the upper quartile, and that is 25% of the data too.

Therefore the answer is C. Because 21 to 30 is half of shelter A, and 18 to 28 is half of shelter B.

:)

Answer 2

B

Explanation: